
Time bar (total: 9.2s)
| 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)
| 573.0ms | 8 256× | 0 | valid |
ival-asinh: 412.0ms (97.5% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 2 | (-0.00687453243881464) | 0 | - | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 69 | 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 | 113 | 0 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 69 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 69 | |
| ↳ | (*.f32 x x) | overflow | 69 | |
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 | 69 | |
| ↳ | (*.f32 x x) | overflow | 69 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 180 | 0 |
| - | 2 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 180 | 0 | 0 |
| - | 2 | 0 | 74 |
| number | freq |
|---|---|
| 0 | 74 |
| 1 | 181 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 187.0ms | 156× | 1 | valid |
| 34.0ms | 356× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-hypot: 164.0ms (80.1% of total)ival-log: 11.0ms (5.4% of total)ival-mult: 9.0ms (4.4% of total)ival-copysign: 6.0ms (2.9% of total)ival-add: 6.0ms (2.9% of total)adjust: 5.0ms (2.4% of total)ival-fabs: 3.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 45 | 12 |
| 3 | 85 | 12 |
| 4 | 144 | 12 |
| 5 | 351 | 12 |
| 6 | 2401 | 12 |
| 7 | 5916 | 12 |
| 0 | 8173 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.9% | (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 | (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)) | |
| cost-diff | 2 | (sqrt.f32 (+.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 | 45 | 49 |
| 3 | 85 | 49 |
| 4 | 144 | 49 |
| 5 | 351 | 49 |
| 6 | 2401 | 49 |
| 7 | 5916 | 49 |
| 0 | 8173 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 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 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) x) |
(+.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 | 0.0078125 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.0234375 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 7.452775091751967 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 11.286244182613176 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 27.0ms | 178× | 0 | valid |
| 19.0ms | 78× | 1 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-log: 8.0ms (29.7% of total)ival-hypot: 7.0ms (26% of total)ival-copysign: 3.0ms (11.1% of total)ival-add: 3.0ms (11.1% of total)adjust: 2.0ms (7.4% of total)ival-mult: 2.0ms (7.4% of total)ival-fabs: 2.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.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)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+ 1 (pow x 2)) |
(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)))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(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 (+ 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)))))) |
(* -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 (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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((sqrt (+ (* x x) 1)) (+ (* 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)))) |
| 1.0ms | x | @ | inf | ((sqrt (+ (* x x) 1)) (+ (* 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)))) |
| 1.0ms | x | @ | -inf | ((sqrt (+ (* x x) 1)) (+ (* 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)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 584 |
| 1 | 568 | 546 |
| 2 | 2394 | 525 |
| 0 | 8378 | 483 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+ 1 (pow x 2)) |
(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)))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(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 (+ 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)))))) |
(* -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 (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))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(-.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (fabs.f32 x)) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(pow x 2) |
(*.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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) 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 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal 1 binary32)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 0 | 401 | 21 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.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)))) |
| Outputs |
|---|
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (hypot.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32))) |
(cosh.f32 (neg.f32 (asinh.f32 x))) |
(cosh.f32 (asinh.f32 (neg.f32 x))) |
(cosh.f32 (asinh.f32 x)) |
(cosh.f32 (asinh.f32 (fabs.f32 x))) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 (fabs.f32 x))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 (neg.f32 x))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 x)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (fabs.f32 x)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) x) |
(hypot.f32 (neg.f32 (fabs.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(hypot.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 x))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 x)) |
(hypot.f32 #s(literal -1 binary32) (fabs.f32 x)) |
(hypot.f32 #s(literal -1 binary32) x) |
(hypot.f32 (neg.f32 (neg.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 (neg.f32 x)) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(hypot.f32 (neg.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 x) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 x) #s(literal 1 binary32)) |
(hypot.f32 (fabs.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(hypot.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(hypot.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 x))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 x)) |
(hypot.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(hypot.f32 #s(literal 1 binary32) x) |
(hypot.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 x #s(literal -1 binary32)) |
(hypot.f32 x #s(literal 1 binary32)) |
(*.f32 (neg.f32 (hypot.f32 #s(literal -1 binary32) x)) (neg.f32 (hypot.f32 #s(literal -1 binary32) x))) |
(*.f32 (fabs.f32 (hypot.f32 #s(literal -1 binary32) x)) (fabs.f32 (hypot.f32 #s(literal -1 binary32) x))) |
(*.f32 (hypot.f32 #s(literal -1 binary32) x) (hypot.f32 #s(literal -1 binary32) x)) |
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) |
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x))) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 x x)) |
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) #s(literal -1 binary32) (*.f32 x x)) |
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) #s(literal 1/2 binary32) (*.f32 x x)) |
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))) |
(/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))))) |
(/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 #s(literal -1 binary32) x)) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)) |
(+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
Compiled 2 605 to 783 computations (69.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 7 | 153 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 7 | 154 |
| Status | Accuracy | Program |
|---|---|---|
| 28.1% | (copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) | |
| ▶ | 39.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
| ▶ | 35.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ▶ | 27.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| 51.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) | |
| ▶ | 12.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 266 to 160 computations (39.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) | |
| cost-diff | 2 | (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) | |
| cost-diff | 3 | (fma.f32 (/.f32 (fabs.f32 x) x) x x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) | |
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (asinh.f32 (fabs.f32 x)) | |
| cost-diff | 0 | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 197 |
| 0 | 49 | 197 |
| 1 | 63 | 197 |
| 2 | 95 | 193 |
| 3 | 161 | 185 |
| 4 | 355 | 185 |
| 5 | 2102 | 185 |
| 0 | 8225 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(+.f32 (fabs.f32 x) x) |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) x) |
(fma.f32 x x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.01171875 | (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) | |
| accuracy | 2.95709392056007 | (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) | |
| accuracy | 5.8391320329043115 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) | |
| accuracy | 0.0 | (/.f32 (fabs.f32 x) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 5.8391320329043115 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) | |
| accuracy | 6.709703554742983 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.01171875 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) | |
| accuracy | 5.8391320329043115 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) | |
| accuracy | 14.07130301844815 | #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) | |
| accuracy | 0.0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) | |
| accuracy | 0.0 | (log.f32 x) | |
| accuracy | 11.041694159002033 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) | |
| accuracy | 0.0 | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.07421875 | (asinh.f32 (fabs.f32 x)) |
| 368.0ms | 140× | 0 | invalid |
| 64.0ms | 76× | 0 | valid |
| 13.0ms | 40× | 1 | valid |
Compiled 172 to 18 computations (89.5% saved)
ival-fabs: 348.0ms (80.8% of total)ival-hypot: 58.0ms (13.5% of total)ival-log: 6.0ms (1.4% of total)ival-copysign: 4.0ms (0.9% of total)ival-add: 4.0ms (0.9% of total)ival-asinh: 3.0ms (0.7% of total)ival-mult: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)ival-div: 2.0ms (0.5% of total)ival-neg: 1.0ms (0.2% 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 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(/.f32 (fabs.f32 x) x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ x (fabs x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ (fabs x) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* 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))) |
(+ (log -1) (* -1 (log (/ -1 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 (/ (fabs x) x)) 1))) |
(* -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 | |
|---|---|---|---|---|
| 75.0ms | x | @ | -inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (fabs x) x)) |
| 58.0ms | x | @ | 0 | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (fabs x) x)) |
| 30.0ms | x | @ | inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (fabs x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 622 |
| 1 | 579 | 592 |
| 2 | 2406 | 561 |
| 0 | 8194 | 514 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ x (fabs x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ (fabs x) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* 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))) |
(+ (log -1) (* -1 (log (/ -1 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 (/ (fabs x) x)) 1))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(fabs x) |
(fabs.f32 x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(log x) |
(log.f32 x) |
(+ 1 (fabs x)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+ x (fabs x)) |
(+.f32 (fabs.f32 x) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(/ (fabs x) x) |
(/.f32 (fabs.f32 x) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.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 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 179 |
| 0 | 49 | 137 |
| 1 | 122 | 137 |
| 0 | 714 | 137 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(/.f32 (fabs.f32 x) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))) |
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x) |
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 x x) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x))) |
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))) |
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))) |
(-.f32 x (*.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) x)) |
(-.f32 x (*.f32 (neg.f32 x) (/.f32 (fabs.f32 x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(fma.f32 (fabs.f32 x) (/.f32 x x) x) |
(fma.f32 x (/.f32 (fabs.f32 x) x) x) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))) |
(+.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x) |
(+.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (hypot.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32))) |
(cosh.f32 (neg.f32 (asinh.f32 x))) |
(cosh.f32 (asinh.f32 (neg.f32 x))) |
(cosh.f32 (asinh.f32 x)) |
(cosh.f32 (asinh.f32 (fabs.f32 x))) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) |
(hypot.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 (neg.f32 x))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 (fabs.f32 x))) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (neg.f32 x)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (fabs.f32 x)) |
(hypot.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) x) |
(hypot.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 x))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x))) |
(hypot.f32 #s(literal -1 binary32) (neg.f32 x)) |
(hypot.f32 #s(literal -1 binary32) (fabs.f32 x)) |
(hypot.f32 #s(literal -1 binary32) x) |
(hypot.f32 (neg.f32 (neg.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 (neg.f32 x)) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(hypot.f32 (neg.f32 (fabs.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(hypot.f32 (neg.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (neg.f32 x) #s(literal -1 binary32)) |
(hypot.f32 (neg.f32 x) #s(literal 1 binary32)) |
(hypot.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1 binary32))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 x))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 (fabs.f32 x))) |
(hypot.f32 #s(literal 1 binary32) (neg.f32 x)) |
(hypot.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(hypot.f32 #s(literal 1 binary32) x) |
(hypot.f32 (fabs.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(hypot.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(hypot.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32))) |
(hypot.f32 x #s(literal -1 binary32)) |
(hypot.f32 x #s(literal 1 binary32)) |
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))) |
(/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))))) |
(/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 #s(literal -1 binary32) x)) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) (hypot.f32 #s(literal -1 binary32) x)) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) |
(/.f32 (fabs.f32 x) x) |
(neg.f32 (/.f32 (neg.f32 (fabs.f32 x)) x)) |
(neg.f32 (/.f32 (fabs.f32 x) (neg.f32 x))) |
Compiled 4 041 to 911 computations (77.5% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 1 | 207 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 207 | 7 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.1% | (copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
| ✓ | 39.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
| ✓ | 35.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ▶ | 27.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| ▶ | 51.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 12.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 139 to 83 computations (40.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) | |
| cost-diff | 14 | (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) | |
| cost-diff | 0 | (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) | |
| cost-diff | 0 | (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 376 |
| 0 | 65 | 319 |
| 1 | 108 | 319 |
| 2 | 210 | 311 |
| 3 | 513 | 303 |
| 4 | 1490 | 303 |
| 0 | 8998 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
x |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
(log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(pow.f32 (fabs.f32 x) #s(literal 3 binary32)) |
(fabs.f32 x) |
x |
#s(literal 3 binary32) |
(fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)) |
(hypot.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(*.f32 x x) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
x |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) x) |
(log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) |
(log.f32 (/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(pow.f32 (fabs.f32 x) #s(literal 3 binary32)) |
(fabs.f32 x) |
x |
#s(literal 3 binary32) |
(fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)) |
(fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)) |
(hypot.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(*.f32 x x) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 10.752588520680295 | (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) | |
| accuracy | 10.764307270680295 | (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) | |
| accuracy | 11.286244182613176 | (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) | |
| accuracy | 14.385900846191438 | (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.0 | #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) | |
| accuracy | 11.286244182613176 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) | |
| accuracy | 23.292615047337385 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) | |
| accuracy | 0.04296875 | (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) | |
| accuracy | 0.0703125 | (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) | |
| accuracy | 0.140625 | (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) | |
| accuracy | 15.615222336800112 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
| 121.0ms | 196× | 1 | valid |
| 15.0ms | 60× | 0 | valid |
Compiled 442 to 34 computations (92.3% saved)
ival-div: 30.0ms (25.4% of total)adjust: 18.0ms (15.2% of total)ival-hypot: 15.0ms (12.7% of total)ival-log: 14.0ms (11.8% of total)ival-mult: 10.0ms (8.5% of total)ival-add: 9.0ms (7.6% of total)ival-pow: 7.0ms (5.9% of total)ival-copysign: 6.0ms (5.1% of total)ival-sub: 4.0ms (3.4% of total)ival-log1p: 3.0ms (2.5% of total)ival-fabs: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
(log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) |
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(fabs.f32 x) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.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))))))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ x (fabs x)) |
(+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x))) (/ (* (pow (fabs x) 3) (- (* 1/16 (- 1 (fabs x))) 1/16)) (pow (- 1 (fabs x)) 2))))))))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(copysign (log (+ (* (sqrt (pow (+ 1 (pow x 2)) 3)) (/ 1 (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2)))) (/ (pow (fabs x) 3) (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2))))) x) |
(log (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(+ (log (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) (/ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))))) |
(+ (log (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) (* (pow x 2) (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))) 2) (pow (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) 2))) (* 24 (/ (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))))))) (/ 3/2 (* (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) (- 1 (fabs x)))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (* (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) (pow (- 1 (fabs x)) 2)))))) |
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(/ (pow (fabs x) 3) (- 1 (fabs x))) |
(+ (* -1 (/ (* (pow x 2) (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 2))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (- (* 1/16 (- 1 (fabs x))) 1/16)) (pow (- 1 (fabs x)) 2)))))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(/ 1 (- 1 (fabs x))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))))))))) (/ 1 (- 1 (fabs x)))) |
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(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* 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))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 (/ (fabs x) x)))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow x 3))) (/ 3/4 (pow x 2))))))))) |
(+ (log 1/2) (* -1 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (fabs x) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 2)))))) |
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(* 1/2 (/ (pow (fabs x) 3) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow (fabs x) 4) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3))) (pow x 2))) (* 1/2 (pow (fabs x) 3))) (* -1/4 (/ (pow (fabs x) 4) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 4)) (+ (* 1/8 (pow (fabs x) 4)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3))))))) (pow x 3))) (* 1/2 (pow (fabs x) 3))) (+ (* -1/4 (/ (pow (fabs x) 4) x)) (+ (* -1/8 (/ (pow (fabs x) 5) (pow x 2))) (* 1/4 (/ (pow (fabs x) 3) (pow x 2)))))) (pow x 2)) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
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(* -1 (log (/ -1 x))) |
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(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
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(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
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(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
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(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1/2 (/ (fabs x) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) x)) (* 1/2 (fabs x))) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (+ (* 1/4 (pow (fabs x) 3)) (* 12 (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3))))))) x)) (* 1/2 (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))))) x)) (* 1/2 (fabs x))) x)))) |
(/ (+ (* -1/4 (/ (pow (fabs x) 4) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 5) x)) (* 1/4 (/ (pow (fabs x) 3) x))) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 4) x)) (+ (* 1/8 (/ (pow (fabs x) 4) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)))) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x)))) (copysign (log (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))))) x) (log (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))))) (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ 1/2 (- (fabs x) -1)) (fabs x) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x)))) |
| 9.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x)))) (copysign (log (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))))) x) (log (+ (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))))) (/ (pow (fabs x) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x))) (/ 1/2 (- (fabs x) -1)) (fabs x) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (sqrt (+ (* -1 -1) (* x x))) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x))) (* x x)))) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 4337 |
| 1 | 1945 | 4093 |
| 0 | 8749 | 3844 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (pow (fabs x) 3) (- 1 (fabs x))) |
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(/ 1/2 (+ 1 (fabs x))) |
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(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* 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))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 (/ (fabs x) x)))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (+ (* 1/2 (/ (pow (fabs x) 3) (pow x 3))) (/ 3/4 (pow x 2))))))))) |
(+ (log 1/2) (* -1 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (fabs x) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 2)))))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (+ (* 1/4 (pow (fabs x) 3)) (* 12 (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3))))))) (pow x 3))) (+ (* 1/2 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 2))))))) |
(* 1/2 (/ (pow (fabs x) 3) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow (fabs x) 4) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3))) (pow x 2))) (* 1/2 (pow (fabs x) 3))) (* -1/4 (/ (pow (fabs x) 4) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 4)) (+ (* 1/8 (pow (fabs x) 4)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3))))))) (pow x 3))) (* 1/2 (pow (fabs x) 3))) (+ (* -1/4 (/ (pow (fabs x) 4) x)) (+ (* -1/8 (/ (pow (fabs x) 5) (pow x 2))) (* 1/4 (/ (pow (fabs x) 3) (pow x 2)))))) (pow x 2)) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (/ 3/4 (pow x 2)))))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* -1/4 (/ (fabs x) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3)))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1/2 (/ (fabs x) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) x)) (* 1/2 (fabs x))) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (+ (* 1/4 (pow (fabs x) 3)) (* 12 (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3))))))) x)) (* 1/2 (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))))) x)) (* 1/2 (fabs x))) x)))) |
(/ (+ (* -1/4 (/ (pow (fabs x) 4) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 5) x)) (* 1/4 (/ (pow (fabs x) 3) x))) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 4) x)) (+ (* 1/8 (/ (pow (fabs x) 4) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)))) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal 1 binary32) x) (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 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (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 (*.f32 x x) #s(literal -1/24 binary32)) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #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 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #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 #s(literal 3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #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))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) |
(+ 1 (fabs x)) |
(+.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 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(fabs x) |
(fabs.f32 x) |
(+ x (fabs x)) |
(+.f32 (fabs.f32 x) x) |
(+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(fma.f32 (-.f32 (fma.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x) (/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3/2 binary32) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (neg.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal -1/8 binary32) #s(literal 1/8 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))))) (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (*.f32 x x) (/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+ (* (pow x 2) (- (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x))) (/ (* (pow (fabs x) 3) (- (* 1/16 (- 1 (fabs x))) 1/16)) (pow (- 1 (fabs x)) 2))))))))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* -1 (/ (* (pow (fabs x) 3) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (pow (fabs x) 3) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))))))) (/ (* (pow (fabs x) 3) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (+ (/ 1 (- 1 (fabs x))) (/ (pow (fabs x) 3) (- 1 (fabs x))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3/8 binary32) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) #s(literal 3/2 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) 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(*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)) (neg.f32 x)) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (neg.f32 x))) x)) (neg.f32 x)) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3)))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (/.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/2 binary32) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x)))))) x)) (neg.f32 x))) x)) (neg.f32 x)) |
(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1/2 (/ (fabs x) x)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) x)) (* 1/2 (fabs x))) x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (fma.f32 #s(literal -4 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 3 binary32))) x) (fabs.f32 x))) x)) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (+ (* 1/4 (pow (fabs x) 3)) (* 12 (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (+ (* 3/8 (fabs x)) (* 1/2 (pow (fabs x) 3))))))) x)) (* 1/2 (+ (* -1/4 (pow (fabs x) 2)) (* 4 (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))))))) x)) (* 1/2 (fabs x))) x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/2 binary32) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x)))))) #s(literal 12 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -6 binary32) (fabs.f32 x)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))))) x) #s(literal -1/6 binary32) (fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) #s(literal 2 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) (neg.f32 x))) x)) |
(/ (+ (* -1/4 (/ (pow (fabs x) 4) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) x) #s(literal -1/4 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 x x)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 5) x)) (* 1/4 (/ (pow (fabs x) 3) x))) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 5 binary32)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/4 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) x) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/4 binary32))) x)) (*.f32 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 4) x)) (+ (* 1/8 (/ (pow (fabs x) 4) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)))) (+ (* -1/8 (pow (fabs x) 5)) (* 1/4 (pow (fabs x) 3)))) x)) (* -1/4 (pow (fabs x) 4))) x)) (* 1/2 (pow (fabs x) 3))) (pow x 2)) |
(/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fabs.f32 x)) (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 5 binary32)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/4 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) x))) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 5 binary32)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/4 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))) (neg.f32 x)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/4 binary32))) (neg.f32 x))) (*.f32 x x)) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(neg.f32 (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(neg.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x)) (fabs.f32 x)) (neg.f32 x)) x x)) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (/.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x))))) x)) (neg.f32 x))) x)) (neg.f32 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 326 |
| 0 | 65 | 269 |
| 1 | 255 | 199 |
| 0 | 1969 | 195 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x)))) |
(copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
(log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) |
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(fabs.f32 x) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x)))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x)))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))))) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x))) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fabs.f32 x)) (fabs.f32 x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (pow.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
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(*.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (+.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) |
(/.f32 (-.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) |
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x))) (/.f32 (*.f32 x x) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) |
(-.f32 (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (fabs.f32 x) (+.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))))) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(*.f32 (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) (*.f32 x x))) |
(*.f32 (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x))) (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3/2 binary32)) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3/2 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (hypot.f32 #s(literal -1 binary32) x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(*.f32 (hypot.f32 #s(literal -1 binary32) x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(/.f32 (neg.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(neg.f32 (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
Compiled 17 709 to 1 844 computations (89.6% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 2 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 324 | 8 | 332 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.1% | (copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
| ✓ | 39.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
| ✓ | 35.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ✓ | 27.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| ✓ | 51.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 12.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| ▶ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
Compiled 180 to 109 computations (39.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 x x) | |
| cost-diff | 0 | (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) | |
| cost-diff | 15 | (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 323 |
| 0 | 56 | 317 |
| 1 | 95 | 278 |
| 2 | 216 | 272 |
| 3 | 535 | 272 |
| 4 | 1315 | 272 |
| 5 | 5215 | 272 |
| 0 | 8033 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
x |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
(log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(*.f32 x x) |
x |
(/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(fabs.f32 x) |
(fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(hypot.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
x |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) x) |
(log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(log.f32 (/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32))) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(*.f32 x x) |
x |
(/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(fabs.f32 x) |
(fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(hypot.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.546072622141188 | (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) | |
| accuracy | 10.752588520680295 | (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) | |
| accuracy | 11.286244182613176 | (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) | |
| accuracy | 14.385900846191438 | (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) | |
| accuracy | 0.1048340675810121 | (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) | |
| accuracy | 7.447934137207065 | (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| accuracy | 14.406645478556252 | #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) | |
| accuracy | 15.615222336800112 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
| 122.0ms | 196× | 1 | valid |
| 18.0ms | 60× | 0 | valid |
Compiled 395 to 33 computations (91.6% saved)
adjust: 29.0ms (24.2% of total)ival-hypot: 22.0ms (18.4% of total)ival-mult: 13.0ms (10.9% of total)ival-log: 12.0ms (10% of total)ival-div: 10.0ms (8.4% of total)ival-add: 9.0ms (7.5% of total)ival-pow: 7.0ms (5.8% of total)ival-copysign: 6.0ms (5% of total)ival-sub: 4.0ms (3.3% of total)ival-log1p: 3.0ms (2.5% of total)ival-fabs: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
(log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.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))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(/ 1 (- 1 (fabs x))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))) (/ (fabs x) (- 1 (fabs x))))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)) (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x))))))))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))) (/ (fabs x) (- 1 (fabs x))))))) (/ 1 (- 1 (fabs x)))) |
(copysign (log (+ (* (sqrt (pow (+ 1 (pow x 2)) 3)) (/ 1 (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2)))) (/ (* (pow x 2) (fabs x)) (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2))))) x) |
(log (/ 1 (- 1 (fabs x)))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (* (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) (- 1 (fabs x))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -12 (* (pow (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) 2) (pow (- 1 (fabs x)) 2))) (* 24 (* (- 1 (fabs x)) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))))))) (* (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) (- 1 (fabs x)))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (+ (* (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) (- 1 (fabs x))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -720 (* (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) (* (pow (- 1 (fabs x)) 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))))) (+ (* 240 (* (pow (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) 3) (pow (- 1 (fabs x)) 3))) (* 720 (* (- 1 (fabs x)) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)) (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x)))))))))))))) (* 1/24 (+ (* -12 (* (pow (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x))))) 2) (pow (- 1 (fabs x)) 2))) (* 24 (* (- 1 (fabs x)) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))))))))))) |
(pow x 2) |
(* 1/2 (pow x 2)) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))))))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x))))))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))))))))) (/ 1 (- 1 (fabs x)))) |
(/ (fabs x) (- 1 (fabs x))) |
(+ (* -1 (/ (* (pow x 2) (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 2))) (/ (fabs x) (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (/ (fabs x) (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (fabs x) (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 3))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (- 1 (fabs x)))) (/ (* (fabs x) (- (* 1/16 (- 1 (fabs x))) 1/16)) (pow (- 1 (fabs x)) 2)))))) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2))))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))) (/ (fabs x) (- 1 (fabs x)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (+ (* 1/4 (/ (fabs x) x)) (* 1/2 (/ (fabs x) x))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 1/2 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) (* -1/4 (/ (pow (fabs x) 2) (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (+ (* 1/2 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))))) (+ (* -1/4 (/ (pow (fabs x) 2) (pow x 2))) (+ (* -1/8 (/ (pow (fabs x) 3) (pow x 3))) (* 1/4 (/ (fabs x) (pow x 3))))))) |
(+ (log 1/2) (* -1 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (pow x 2))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x))))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -24 (* (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (+ (* 12 (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))) (* 16 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (pow x 2))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)))))) |
x |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* x (+ 1/2 (* 1/4 (/ (fabs x) x)))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (/ 3/4 (pow x 2)))))))) |
(* 1/2 (/ (fabs x) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))) (pow x 2))) (* 1/2 (fabs x))) (* -1/4 (/ (pow (fabs x) 2) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (+ (* 1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))))) (pow x 3))) (* 1/2 (fabs x))) (+ (* -1/4 (/ (pow (fabs x) 2) x)) (+ (* -1/8 (/ (pow (fabs x) 3) (pow x 2))) (* 1/4 (/ (fabs x) (pow x 2)))))) (pow x 2)) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))) x)) (+ (* 1/4 (fabs x)) (* 1/2 (fabs x)))) x))))) |
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(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)) (* -1 (log (/ -1 x))))) |
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(* -1 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1/2 (* -1/4 (/ (fabs x) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(/ (+ (* -1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 3) x)) (* 1/4 (/ (fabs x) x))) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 2) x)) (+ (* 1/8 (/ (pow (fabs x) 2) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 152.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* 1/2 (* x x)) (+ 1 (fabs x))) (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (copysign (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) x) (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) (* x x) (* 1/2 (* x x)) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) |
| 5.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* 1/2 (* x x)) (+ 1 (fabs x))) (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (copysign (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) x) (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) (* x x) (* 1/2 (* x x)) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) |
| 5.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* 1/2 (* x x)) (+ 1 (fabs x))) (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (copysign (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) x) (log (+ (* (* x x) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))))) (* x x) (* 1/2 (* x x)) (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (/ (pow (sqrt (+ (* -1 -1) (* x x))) 3) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x))) (/ (fabs x) (+ (* (- (sqrt (+ (* -1 -1) (* x x))) (fabs x)) (sqrt (+ (* -1 -1) (* x x)))) (* x x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 3772 |
| 1 | 1932 | 3432 |
| 0 | 8891 | 3212 |
| 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))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(/ 1 (- 1 (fabs x))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
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(copysign (log (+ (* (sqrt (pow (+ 1 (pow x 2)) 3)) (/ 1 (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2)))) (/ (* (pow x 2) (fabs x)) (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2))))) x) |
(log (/ 1 (- 1 (fabs x)))) |
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(pow x 2) |
(* 1/2 (pow x 2)) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 3/2 (/ 1 (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
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(/ (fabs x) (- 1 (fabs x))) |
(+ (* -1 (/ (* (pow x 2) (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x)))))) (pow (- 1 (fabs x)) 2))) (/ (fabs x) (- 1 (fabs x)))) |
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(* -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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (+ (* 1/4 (/ (fabs x) x)) (* 1/2 (/ (fabs x) x))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 1/2 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) (* -1/4 (/ (pow (fabs x) 2) (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (+ (* 1/2 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))))) (+ (* -1/4 (/ (pow (fabs x) 2) (pow x 2))) (+ (* -1/8 (/ (pow (fabs x) 3) (pow x 3))) (* 1/4 (/ (fabs x) (pow x 3))))))) |
(+ (log 1/2) (* -1 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (pow x 2))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x))))) |
(+ (log 1/2) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -24 (* (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (+ (* 12 (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))) (* 16 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (pow x 2))) (* 2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)))))) |
x |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* x (+ 1/2 (* 1/4 (/ (fabs x) x)))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* 1/4 (/ (fabs x) x)) (/ 3/4 (pow x 2)))))) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (/ 3/4 (pow x 2)))))))) |
(* 1/2 (/ (fabs x) (pow x 2))) |
(/ (+ (* 1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))) (pow x 2))) (* 1/2 (fabs x))) (* -1/4 (/ (pow (fabs x) 2) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (+ (* 1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))))) (pow x 3))) (* 1/2 (fabs x))) (+ (* -1/4 (/ (pow (fabs x) 2) x)) (+ (* -1/8 (/ (pow (fabs x) 3) (pow x 2))) (* 1/4 (/ (fabs x) (pow x 2)))))) (pow x 2)) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))) x)) (+ (* 1/4 (fabs x)) (* 1/2 (fabs x)))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)))) (* -1/4 (pow (fabs x) 2))) x)) (+ (* 1/4 (fabs x)) (* 1/2 (fabs x)))) x))))) |
(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)) (* -1 (log (/ -1 x))))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) x)) (* 2 (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))))) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (+ (* 12 (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))) (* 16 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 3)))) x)) (* 1/2 (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))))) x)) (* 2 (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))))) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1/2 (* -1/4 (/ (fabs x) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(/ (+ (* -1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 3) x)) (* 1/4 (/ (fabs x) x))) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 2) x)) (+ (* 1/8 (/ (pow (fabs x) 2) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (hypot.f32 #s(literal 1 binary32) x) (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 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (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 (*.f32 x x) #s(literal -1/24 binary32)) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #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 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #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 #s(literal 3 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #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))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/ 1 (- 1 (fabs x))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (/ (fabs x) (- 1 (fabs x)))))) (/ 1 (- 1 (fabs x)))) |
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal -1 binary32) (/.f32 (+.f32 (fabs.f32 x) #s(literal 3/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))) (/ (fabs x) (- 1 (fabs x))))))) (/ 1 (- 1 (fabs x)))) |
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal -1 binary32) (fma.f32 (-.f32 (fma.f32 #s(literal -3/2 binary32) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) (fabs.f32 x) #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (*.f32 x x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 3/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+ (* (pow x 2) (+ (* -1 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 3/2 (/ 1 (- 1 (fabs x)))) (+ (* (pow x 2) (- (+ (* -3/2 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (+ (* -3/8 (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (* 3/2 (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))))) (+ (* -1 (/ (* (fabs x) (pow (+ 3/2 (* 1/2 (- 1 (fabs x)))) 2)) (pow (- 1 (fabs x)) 3))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (/ (* (fabs x) (+ 1/8 (* -1/8 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)) (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (- (* 1/8 (/ 1 (- 1 (fabs x)))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2)))))) (- 1 (fabs x))))))))))) (+ (* -1 (/ (* (+ 3/2 (* 1/2 (- 1 (fabs x)))) (+ (* 1/2 (/ 1 (- 1 (fabs x)))) (* 3/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (- 1 (fabs x)))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (/ (* (fabs x) (+ 3/2 (* 1/2 (- 1 (fabs x))))) (pow (- 1 (fabs x)) 2)))))) (/ (fabs x) (- 1 (fabs x))))))) (/ 1 (- 1 (fabs x)))) |
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal -1 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3/8 binary32) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) #s(literal 3/2 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (neg.f32 (fma.f32 (fabs.f32 x) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/8 binary32)) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) #s(literal 1/8 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (fma.f32 #s(literal -3/2 binary32) (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (fma.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 1/2 binary32) #s(literal 3/2 binary32)) (fabs.f32 x) #s(literal 1/8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))))) (*.f32 x x) (/.f32 (+.f32 (fabs.f32 x) #s(literal 3/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(copysign (log (+ (* (sqrt (pow (+ 1 (pow x 2)) 3)) (/ 1 (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2)))) (/ (* (pow x 2) (fabs x)) (+ (* (sqrt (+ 1 (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x))) (pow x 2))))) x) |
(copysign.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 (-.f32 (hypot.f32 #s(literal 1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal 1 binary32) x) (*.f32 x x)))) x) |
(log (/ 1 (- 1 (fabs x)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
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(*.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 3/4 binary32) (*.f32 x x)))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (*.f32 x x))) x) |
(* x (+ 1/2 (+ (* -1 (/ (+ 1/4 (* -1/8 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (/ (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/4 (/ (fabs x) x)) (+ (* 3/8 (/ (fabs x) (pow x 3))) (/ 3/4 (pow x 2)))))))) |
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (fabs.f32 x) (pow.f32 x #s(literal 3 binary32))) #s(literal 3/8 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 3/4 binary32) (*.f32 x x))))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/4 binary32)) (*.f32 x x))) #s(literal -1/2 binary32)) x) |
(* 1/2 (/ (fabs x) (pow x 2))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fabs.f32 x) x)) |
(/ (+ (* 1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) x) #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (fabs.f32 x))) (*.f32 x x)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))) (pow x 2))) (* 1/2 (fabs x))) (* -1/4 (/ (pow (fabs x) 2) x))) (pow x 2)) |
(/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x)) (*.f32 (neg.f32 x) x))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) x)) (*.f32 x x)) |
(/ (- (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (+ (* 1/8 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))))) (pow x 3))) (* 1/2 (fabs x))) (+ (* -1/4 (/ (pow (fabs x) 2) x)) (+ (* -1/8 (/ (pow (fabs x) 3) (pow x 2))) (* 1/4 (/ (fabs x) (pow x 2)))))) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 0 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x)) (*.f32 #s(literal 1/2 binary32) (fabs.f32 x)))) (neg.f32 (pow.f32 x #s(literal 3 binary32)))) (fma.f32 #s(literal -1/2 binary32) (fabs.f32 x) (fma.f32 (/.f32 (*.f32 x x) x) #s(literal -1/4 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x)) (*.f32 x x))))) (*.f32 x x)) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (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 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1/2 x) |
(*.f32 #s(literal -1/2 binary32) x) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x))))) |
(*.f32 (neg.f32 x) (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal -3/4 binary32) #s(literal 1/2 binary32))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))) x)) (+ (* 1/4 (fabs x)) (* 1/2 (fabs x)))) x))))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 3/4 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (neg.f32 x))) x))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)))) (* -1/4 (pow (fabs x) 2))) x)) (+ (* 1/4 (fabs x)) (* 1/2 (fabs x)))) x))))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 3/4 binary32) (/.f32 (-.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 (-.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x))))) (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x))) x)) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (neg.f32 x))) x))) |
(+ (log 1/2) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log 1/2) (+ (* -2 (/ (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) x)) (* -1 (log (/ -1 x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal -3/2 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) x)) (* 2 (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))))) x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -4 binary32) (-.f32 (*.f32 (*.f32 x x) #s(literal 9/16 binary32)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))))) x) #s(literal -1/2 binary32) (*.f32 (fabs.f32 x) #s(literal 3/2 binary32))) x)) |
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (* (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))) (+ (* 12 (- (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x))))) (* 16 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 3)))) x)) (* 1/2 (+ (* -4 (pow (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))) 2)) (* 4 (- (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) (* -1/4 (pow (fabs x) 2))))))) x)) (* 2 (+ (* 1/4 (fabs x)) (* 1/2 (fabs x))))) x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (fabs.f32 x) #s(literal 3/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -24 binary32) (*.f32 (fabs.f32 x) #s(literal 3/4 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (fma.f32 (-.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x))))) (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x))) #s(literal 12 binary32) (*.f32 (pow.f32 (*.f32 (fabs.f32 x) #s(literal 3/4 binary32)) #s(literal 3 binary32)) #s(literal 16 binary32)))) x) #s(literal -1/6 binary32) (fma.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 9/16 binary32)) #s(literal -2 binary32)))) (neg.f32 x))) x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(neg.f32 (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(neg.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x)) (fabs.f32 x)) (neg.f32 x)) x x)) |
(* -1 (* x (+ 1/2 (* -1/4 (/ (fabs x) x))))) |
(*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)) (neg.f32 x)) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2))))) x)) (* 1/4 (fabs x))) x))))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x))) x)) (neg.f32 x)) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ 3/4 (+ (* -1 (+ 1/4 (* -1/8 (pow (fabs x) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/8 (fabs x)) (+ (* 1/8 (fabs x)) (* 1/2 (* (fabs x) (+ 1/4 (* -1/8 (pow (fabs x) 2)))))))) (* 3/8 (fabs x))) x)))) x)) (* 1/4 (fabs x))) x))))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fabs.f32 x) (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 (fma.f32 #s(literal 3/8 binary32) (fabs.f32 x) (neg.f32 (fma.f32 (fabs.f32 x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32))) (fabs.f32 x))))) x)) (neg.f32 x))) x)) (neg.f32 x)) |
(/ (+ (* -1/4 (/ (pow (fabs x) 2) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) x)) (*.f32 x x)) |
(/ (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 3) x)) (* 1/4 (/ (fabs x) x))) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x)) x) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (neg.f32 x))) (*.f32 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow (fabs x) 2) x)) (+ (* 1/8 (/ (pow (fabs x) 2) x)) (* 1/2 (/ (* (fabs x) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)))) (+ (* -1/8 (pow (fabs x) 3)) (* 1/4 (fabs x)))) x)) (* -1/4 (pow (fabs x) 2))) x)) (* 1/2 (fabs x))) (pow x 2)) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 x x) x) #s(literal 0 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (fabs.f32 x)) (/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x)) x))) (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/4 binary32)) (fabs.f32 x))) (neg.f32 x)) (*.f32 #s(literal -1/4 binary32) (*.f32 x x))) (neg.f32 x))) (*.f32 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 285 |
| 0 | 56 | 279 |
| 1 | 216 | 164 |
| 0 | 1630 | 155 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
(log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) |
(/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fabs.f32 x)) (fabs.f32 x)) |
(*.f32 (*.f32 x (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(*.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
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(neg.f32 (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(*.f32 (/.f32 (fabs.f32 x) (-.f32 (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) (*.f32 x x))) |
(*.f32 (/.f32 (fabs.f32 x) (+.f32 (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x))) (pow.f32 (*.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) |
(neg.f32 (/.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x)))) |
(neg.f32 (/.f32 (fabs.f32 x) (neg.f32 (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) |
Compiled 19 467 to 1 869 computations (90.4% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 4 | 340 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 336 | 12 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.1% | (copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
| ✓ | 39.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
| ✓ | 35.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ✓ | 27.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| ✓ | 51.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 12.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| ✓ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
| 10.4% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) | |
| 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))) x) | |
| 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) | |
| 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
Compiled 769 to 328 computations (57.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (fma.f32 (*.f32 x x) (/.f32 (fabs.f32 x) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (hypot.f32 #s(literal -1 binary32) x) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (hypot.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (fma.f32 (hypot.f32 #s(literal -1 binary32) x) (-.f32 (hypot.f32 #s(literal -1 binary32) x) (fabs.f32 x)) (*.f32 x x))))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
2 calls:
| 4.0ms | x |
| 4.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 99.5% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
2 calls:
| 5.0ms | x |
| 2.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.8% | 2 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 19.8% | 2 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -0.7b remaining (-2.5%)
Threshold costs -0.7b (-2.5%)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.6% | 1 | x |
| 12.6% | 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5136096477508545 | 3.4857945442199707 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 117 |
| 1 | 70 | 117 |
| 2 | 138 | 115 |
| 3 | 284 | 115 |
| 4 | 575 | 115 |
| 5 | 1032 | 115 |
| 6 | 3605 | 115 |
| 7 | 7331 | 115 |
| 1× | node limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 3 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 3 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 3 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 4337 |
| 1 | 1945 | 4093 |
| 0 | 8749 | 3844 |
| 0 | 169 | 584 |
| 1 | 568 | 546 |
| 2 | 2394 | 525 |
| 0 | 8378 | 483 |
| 0 | 35 | 285 |
| 0 | 56 | 279 |
| 1 | 216 | 164 |
| 0 | 1630 | 155 |
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 0 | 401 | 21 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 115 to 48 computations (58.3% saved)
Compiled 294 to 134 computations (54.4% saved)
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