
Time bar (total: 6.1s)
| 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)
| 328.0ms | 8 256× | 0 | valid |
ival-asinh: 170.0ms (95.2% of total)ival-true: 6.0ms (3.4% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 0 | - | 1 | (-0.018343724310398102) | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 62 | 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 | 124 | 3 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 62 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 62 | |
| ↳ | (*.f32 x x) | overflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 186 | 2 |
| - | 0 | 68 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 186 | 2 | 0 |
| - | 0 | 1 | 67 |
| number | freq |
|---|---|
| 0 | 70 |
| 1 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 172× | 1 | valid |
| 30.0ms | 340× | 0 | valid |
Compiled 163 to 40 computations (75.5% saved)
ival-log: 17.0ms (31.9% of total)ival-hypot: 13.0ms (24.4% of total)ival-add: 6.0ms (11.3% of total)ival-mult: 6.0ms (11.3% of total)ival-copysign: 5.0ms (9.4% of total)adjust: 3.0ms (5.6% of total)ival-fabs: 3.0ms (5.6% 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 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 20 | 12 |
| 0 | 20 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.9% | (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 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) | |
| cost-diff | 64 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 49 |
| 1 | 20 | 49 |
| 0 | 20 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.02734375 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 6.7634571318293455 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 12.293098081484997 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 17.0ms | 86× | 1 | valid |
| 14.0ms | 170× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
ival-hypot: 8.0ms (33.2% of total)ival-log: 6.0ms (24.9% of total)ival-add: 3.0ms (12.5% of total)ival-copysign: 2.0ms (8.3% of total)adjust: 2.0ms (8.3% of total)ival-mult: 2.0ms (8.3% of total)ival-fabs: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(fabs.f32 x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 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 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (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)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (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) |
(fabs.f32 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))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.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) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f32 (fabs.f32 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 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 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f32 (fabs.f32 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 51 | 44 |
| 2 | 324 | 44 |
| 3 | 3427 | 44 |
| 0 | 8363 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(fabs.f32 x) |
| Outputs |
|---|
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32))))))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) |
(*.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 3/4 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) |
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32)))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x)))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x)))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(/.f32 (*.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)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (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 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #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)))) |
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) |
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(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 3/2 binary32))))) |
(/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(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 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x)) |
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x)) |
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(fma.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.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))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 6 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x))) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(pow.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(fabs.f32 (-.f32 x #s(literal 0 binary32))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 x) |
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (fabs.f32 x))) |
Compiled 8 175 to 1 652 computations (79.8% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 9 | 316 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 307 | 10 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| 11.8% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) | |
| ✓ | 38.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ▶ | 32.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| 25.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) | |
| ▶ | 32.7% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| 26.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) | |
| ▶ | 32.6% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
| 14.9% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) | |
| ▶ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ▶ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 316 to 231 computations (26.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) | |
| cost-diff | 0 | (-.f32 (fabs.f32 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) 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 | (log1p.f32 (fabs.f32 x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 247 |
| 0 | 47 | 247 |
| 1 | 56 | 247 |
| 2 | 61 | 247 |
| 3 | 71 | 247 |
| 4 | 87 | 247 |
| 5 | 134 | 247 |
| 6 | 196 | 247 |
| 7 | 269 | 247 |
| 8 | 371 | 247 |
| 9 | 447 | 247 |
| 10 | 502 | 247 |
| 11 | 569 | 247 |
| 12 | 592 | 247 |
| 13 | 599 | 247 |
| 0 | 599 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(fabs.f32 x) |
x |
#s(literal 1 binary32) |
(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))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
x |
#s(literal 1 binary32) |
(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))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) | |
| accuracy | 0.01953125 | (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) | |
| accuracy | 1.75501627398601 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) | |
| accuracy | 9.450825221676798 | #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) | |
| accuracy | 0.0 | (-.f32 (fabs.f32 x) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 1.75501627398601 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) | |
| accuracy | 9.14213603163016 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) | |
| accuracy | 0.0 | (+.f32 (fabs.f32 x) #s(literal 1 binary32)) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 1.75501627398601 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) | |
| accuracy | 4.988436684301641 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) | |
| 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 | 6.529218434055987 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) | |
| accuracy | 0.0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 4.212127557832668 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) | |
| accuracy | 20.216783008053156 | (log1p.f32 (fabs.f32 x)) |
| 87.0ms | 77× | 0 | valid |
| 23.0ms | 48× | 1 | exit |
| 17.0ms | 131× | 0 | invalid |
Compiled 430 to 47 computations (89.1% saved)
adjust: 16.0ms (39.8% of total)ival-hypot: 5.0ms (12.5% of total)ival-log: 5.0ms (12.5% of total)ival-fabs: 3.0ms (7.5% of total)ival-div: 2.0ms (5% of total)ival-copysign: 2.0ms (5% of total)ival-add: 2.0ms (5% of total)ival-sub: 2.0ms (5% of total)ival-log1p: 2.0ms (5% 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(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))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) 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))))))) |
(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)))))) |
(+ (fabs x) (* -1 x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) 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))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (+ 1 (* 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 | |
|---|---|---|---|---|
| 71.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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) 1) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x)) |
| 45.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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) 1) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x)) |
| 32.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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) 1) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 595 |
| 1 | 500 | 566 |
| 2 | 1539 | 557 |
| 3 | 5382 | 505 |
| 0 | 8568 | 470 |
| 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))))))) |
(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)))))) |
(+ (fabs x) (* -1 x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) 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))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 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 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(fabs x) |
(fabs.f32 x) |
(log x) |
(log.f32 x) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (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)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ (fabs x) (* -1 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)) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1 binary32) x) x) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1 binary32) 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 (fabs.f32 x) x) (log.f32 x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f32 (fabs.f32 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))) |
(* -1 x) |
(neg.f32 x) |
(* x (- (/ (fabs x) x) 1)) |
(-.f32 (fabs.f32 x) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/2 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 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f32 (fabs.f32 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 231 |
| 0 | 47 | 231 |
| 1 | 137 | 231 |
| 2 | 936 | 219 |
| 0 | 8815 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(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))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (*.f32 (neg.f32 x) x))) (*.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) (+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) |
(/.f32 (-.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))) (+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (*.f32 (neg.f32 x) x)) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (*.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))))) |
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32))) (log1p.f32 (neg.f32 (fabs.f32 x)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (log.f32 (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))) |
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))) |
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(log1p.f32 (fabs.f32 x)) |
(*.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(fabs.f32 (-.f32 x #s(literal 0 binary32))) |
(fabs.f32 (neg.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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(*.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/.f32 (neg.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.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 binary32) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x x))) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
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(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 9 binary32))) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/8 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x))) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) |
(/.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32)) x) |
(-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(-.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(fma.f32 (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) (neg.f32 x)) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x) (neg.f32 x)) |
(fma.f32 #s(literal -1 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (neg.f32 x)) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (neg.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) (neg.f32 x)) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) (neg.f32 x)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 x)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (neg.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))) |
(+.f32 (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x)) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))) |
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))) |
(neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
Compiled 9 048 to 1 345 computations (85.1% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 3 | 258 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 256 | 12 | 268 |
| Status | Accuracy | Program |
|---|---|---|
| 11.8% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) | |
| ✓ | 38.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 32.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| 25.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) | |
| ✓ | 32.7% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| ▶ | 26.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
| ▶ | 14.9% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
| ▶ | 5.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
| ▶ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
| ✓ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ▶ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
| ✓ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 316 to 231 computations (26.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) | |
| cost-diff | 0 | (log1p.f32 (fabs.f32 (neg.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) | |
| cost-diff | 64 | (fabs.f32 (neg.f32 x)) | |
| cost-diff | 0 | (neg.f32 x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) | |
| cost-diff | 0 | #s(approx (fabs x) (fabs.f32 x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (fabs x) (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 227 |
| 0 | 46 | 223 |
| 1 | 57 | 223 |
| 2 | 63 | 223 |
| 3 | 69 | 223 |
| 4 | 85 | 223 |
| 5 | 116 | 223 |
| 6 | 145 | 223 |
| 7 | 185 | 223 |
| 8 | 277 | 223 |
| 9 | 327 | 223 |
| 10 | 365 | 223 |
| 11 | 398 | 223 |
| 12 | 408 | 223 |
| 0 | 408 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs x) (fabs.f32 x))) |
#s(approx (fabs x) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
(neg.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) |
(log1p.f32 (fabs.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(neg.f32 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))) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs x) (fabs.f32 x))) |
#s(approx (fabs x) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
(neg.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 (neg.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 x) |
(neg.f32 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))) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f32 (fabs.f32 x) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 8.116909815012983 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) | |
| accuracy | 19.11283675364383 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) | |
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 0.0 | (fabs.f32 (neg.f32 x)) | |
| accuracy | 9.947382592760214 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) | |
| accuracy | 18.108890264647574 | (log1p.f32 (fabs.f32 (neg.f32 x))) | |
| accuracy | 0.0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) | |
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 8.116909815012983 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) | |
| accuracy | 23.784478697798672 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) | |
| accuracy | 0.0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) | |
| accuracy | 8.116909815012983 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) | |
| accuracy | 25.812212110155876 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.0 | #s(approx (fabs x) (fabs.f32 x)) | |
| accuracy | 9.947382592760214 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) | |
| accuracy | 22.370402243400594 | (log1p.f32 #s(approx (fabs x) (fabs.f32 x))) |
| 21.0ms | 170× | 0 | valid |
| 11.0ms | 48× | 1 | valid |
| 6.0ms | 38× | 1 | exit |
Compiled 400 to 44 computations (89% saved)
ival-hypot: 6.0ms (22.8% of total)ival-log: 4.0ms (15.2% of total)ival-log1p: 4.0ms (15.2% of total)ival-add: 3.0ms (11.4% of total)ival-fabs: 3.0ms (11.4% of total)ival-copysign: 2.0ms (7.6% of total)adjust: 2.0ms (7.6% of total)ival-neg: 2.0ms (7.6% 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs x) (fabs.f32 x))) |
#s(approx (fabs x) (fabs.f32 x)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
(neg.f32 x) |
(fabs.f32 (neg.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) |
(log1p.f32 (fabs.f32 (neg.f32 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))) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fabs x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(* -1 x) |
(fabs (neg x)) |
(log (+ 1 (fabs (neg x)))) |
(+ x (fabs x)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* 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 (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))))) |
(fabs (* -1 x)) |
(log (+ 1 (fabs (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg 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) (fabs x)) |
| 30.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg 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) (fabs x)) |
| 16.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg 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) (fabs x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 458 |
| 1 | 443 | 430 |
| 2 | 1380 | 422 |
| 3 | 5100 | 389 |
| 0 | 8331 | 357 |
| 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))))))) |
(fabs x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(* -1 x) |
(fabs (neg x)) |
(log (+ 1 (fabs (neg x)))) |
(+ x (fabs x)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* 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 (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))))) |
(fabs (* -1 x)) |
(log (+ 1 (fabs (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(fabs x) |
(fabs.f32 x) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (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)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(* -1 x) |
(neg.f32 x) |
(fabs (neg x)) |
(fabs.f32 x) |
(log (+ 1 (fabs (neg x)))) |
(log1p.f32 (fabs.f32 x)) |
(+ x (fabs x)) |
(+.f32 (fabs.f32 x) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f32 (fabs.f32 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) (fabs.f32 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 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f32 (fabs.f32 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) |
(fabs (* -1 x)) |
(fabs.f32 x) |
(log (+ 1 (fabs (* -1 x)))) |
(log1p.f32 (fabs.f32 x)) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(+.f32 (fabs.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 217 |
| 0 | 46 | 204 |
| 1 | 115 | 204 |
| 2 | 684 | 171 |
| 3 | 7561 | 171 |
| 0 | 8093 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs x) (fabs.f32 x))) |
#s(approx (fabs x) (fabs.f32 x)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
(neg.f32 x) |
(fabs.f32 (neg.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) |
(log1p.f32 (fabs.f32 (neg.f32 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))) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) |
(log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x)))) (*.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) x))) (log1p.f32 (neg.f32 #s(approx (fabs x) x))))) (+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (log1p.f32 (neg.f32 #s(approx (fabs x) x))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)))) (*.f32 (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))) (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))) (+.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (fma.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) x))) (log1p.f32 (neg.f32 #s(approx (fabs x) x))) (*.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (log1p.f32 (neg.f32 #s(approx (fabs x) x))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))) (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))) (*.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))))) |
(-.f32 (log.f32 (fma.f32 #s(approx (fabs x) x) #s(approx (fabs x) x) #s(literal -1 binary32))) (log.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (fabs x) x))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 #s(approx (fabs x) x) #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (log1p.f32 (neg.f32 #s(approx (fabs x) x)))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))))) (log1p.f32 (fma.f32 #s(approx (fabs x) x) #s(approx (fabs x) x) #s(approx (fabs x) x)))) |
(+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)) #s(literal 2 binary32))))) (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 2 binary32))))) (log1p.f32 #s(approx (fabs x) x))) |
(+.f32 (neg.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) x)))) (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x)))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)))) (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)))) |
(+.f32 (log.f32 (fma.f32 #s(approx (fabs x) x) #s(approx (fabs x) x) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (fabs x) x) #s(literal 2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (fabs x) x)))))) |
(+.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 #s(approx (fabs x) x) #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x)))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (fabs x) x)) #s(approx (fabs x) x))) (neg.f32 (log1p.f32 (neg.f32 #s(approx (fabs x) x))))) |
(+.f32 (log1p.f32 (pow.f32 #s(approx (fabs x) x) #s(literal 3 binary32))) (neg.f32 (log1p.f32 (*.f32 (-.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) #s(approx (fabs x) x))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 #s(approx (fabs x) x))) |
(+.f32 (log1p.f32 #s(approx (fabs x) x)) #s(literal 0 binary32)) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))))) |
(log1p.f32 #s(approx (fabs x) x)) |
(*.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32))) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1 binary32) x) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 x #s(literal -1 binary32)) |
(*.f32 x #s(literal 1 binary32)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (*.f32 x x)) |
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 x x) x) |
(-.f32 (/.f32 #s(literal 0 binary32) x) x) |
(-.f32 #s(literal 0 binary32) x) |
(-.f32 x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 0 binary32)) |
(fma.f32 #s(literal 1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32)) |
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 x #s(literal 1 binary32) #s(literal 0 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 x) |
(+.f32 #s(literal 0 binary32) x) |
(+.f32 x #s(literal 0 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32))) |
(neg.f32 x) |
x |
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32))) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1 binary32) x) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 x #s(literal -1 binary32)) |
(*.f32 x #s(literal 1 binary32)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (*.f32 x x)) |
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 x x) x) |
(-.f32 (/.f32 #s(literal 0 binary32) x) x) |
(-.f32 #s(literal 0 binary32) x) |
(-.f32 x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 0 binary32)) |
(fma.f32 #s(literal 1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32)) |
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 x #s(literal 1 binary32) #s(literal 0 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 x) |
(+.f32 #s(literal 0 binary32) x) |
(+.f32 x #s(literal 0 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32))) |
(neg.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) |
(log.f32 (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 (*.f32 x x))) (*.f32 (log1p.f32 x) (log1p.f32 x))) (+.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 (log1p.f32 (fma.f32 x x x)) (log1p.f32 (fma.f32 x x x)))) (+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 (*.f32 x x)) (fma.f32 (log1p.f32 x) (log1p.f32 x) (*.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fma.f32 x x x)) (log1p.f32 (fma.f32 x x x)) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x)))))) |
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 x #s(literal 1 binary32)))) |
(-.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x)) |
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 x))) |
(fma.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (log1p.f32 x))) |
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 4 binary32))) (neg.f32 (log1p.f32 x))) |
(fma.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 x x)) (neg.f32 (log1p.f32 x))) |
(+.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x #s(literal 1 binary32)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 x))) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))) (log1p.f32 (fma.f32 x x x))) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) #s(literal 1 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (log1p.f32 x)) |
(+.f32 (log.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (log1p.f32 (fma.f32 x x x))) |
(+.f32 (neg.f32 (log1p.f32 (fma.f32 x x x))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) |
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))) |
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 x)) (log1p.f32 (*.f32 x x))) |
(+.f32 (log1p.f32 x) (log.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 x) #s(literal 0 binary32)) |
(+.f32 (log1p.f32 (*.f32 x x)) (neg.f32 (log1p.f32 x))) |
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (log1p.f32 (fma.f32 x x x)))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 x)) |
(neg.f32 (neg.f32 (log1p.f32 x))) |
(log1p.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32))) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1 binary32) x) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 x #s(literal -1 binary32)) |
(*.f32 x #s(literal 1 binary32)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (*.f32 x x)) |
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (*.f32 x x) x) |
(-.f32 (/.f32 #s(literal 0 binary32) x) x) |
(-.f32 #s(literal 0 binary32) x) |
(-.f32 x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 0 binary32)) |
(fma.f32 #s(literal 1 binary32) x #s(literal 0 binary32)) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32)) |
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 x #s(literal 1 binary32) #s(literal 0 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 x) |
(+.f32 #s(literal 0 binary32) x) |
(+.f32 x #s(literal 0 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32))) |
(neg.f32 x) |
x |
Compiled 3 979 to 748 computations (81.2% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 5 | 158 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 153 | 17 | 170 |
| Status | Accuracy | Program |
|---|---|---|
| 11.8% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) | |
| ✓ | 38.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 32.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| ▶ | 25.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
| ✓ | 32.7% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| ✓ | 26.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
| ✓ | 14.9% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
| ✓ | 5.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
| 23.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))))) x) | |
| ✓ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
| ✓ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ▶ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
| ✓ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
| ▶ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
| ▶ | 23.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
| ▶ | 20.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
| ✓ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 428 to 311 computations (27.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) x) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) | |
| cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) | |
| cost-diff | 96 | (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) | |
| cost-diff | 0 | #s(approx (fabs (neg x)) (fabs.f32 x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) | |
| cost-diff | 0 | #s(approx (fabs x) x) | |
| cost-diff | 0 | (log1p.f32 #s(approx (fabs x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 269 |
| 0 | 53 | 259 |
| 1 | 66 | 259 |
| 2 | 81 | 259 |
| 3 | 97 | 259 |
| 4 | 128 | 259 |
| 5 | 180 | 259 |
| 6 | 223 | 259 |
| 7 | 275 | 259 |
| 8 | 316 | 259 |
| 9 | 331 | 259 |
| 10 | 343 | 259 |
| 11 | 360 | 259 |
| 12 | 367 | 259 |
| 0 | 367 | 244 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) |
(log1p.f32 #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) |
#s(approx (fabs (neg x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) |
(log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) |
(+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) |
#s(approx (fabs x) x) |
x |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) |
(log.f32 (-.f32 #s(literal 1 binary32) x)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) |
(log1p.f32 #s(approx (fabs x) x)) |
(log1p.f32 #s(approx (fabs (neg x)) x)) |
#s(approx (fabs x) x) |
#s(approx (fabs (neg x)) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) |
#s(approx (fabs (neg x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) |
(log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) |
(log1p.f32 #s(approx (fabs (neg x)) x)) |
(+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) |
(+.f32 #s(approx (fabs (neg x)) x) #s(literal 1 binary32)) |
#s(approx (fabs x) x) |
#s(approx (fabs (neg x)) x) |
x |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x))) |
(log.f32 (-.f32 #s(literal 1 binary32) x)) |
(log1p.f32 (neg.f32 x)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (-.f32 x (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0.02734375 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 12.293098081484997 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) | |
| accuracy | 23.98252009391302 | #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 0.0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) x) | |
| accuracy | 12.209876918546497 | (log.f32 (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 13.958445807913956 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.0 | (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) | |
| accuracy | 6.197084498907282 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) | |
| accuracy | 12.289344659795042 | (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) | |
| accuracy | 15.717650758851546 | #s(approx (fabs x) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 0.0 | #s(approx (fabs (neg x)) (fabs.f32 x)) | |
| accuracy | 6.197084498907282 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) | |
| accuracy | 21.17400816149545 | (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) | |
| accuracy | 0.0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) | |
| accuracy | 6.197084498907282 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) | |
| accuracy | 15.717650758851546 | #s(approx (fabs x) x) | |
| accuracy | 22.926863145763992 | (log1p.f32 #s(approx (fabs x) x)) |
| 43.0ms | 88× | 1 | valid |
| 18.0ms | 114× | 0 | valid |
| 8.0ms | 54× | 0 | invalid |
Compiled 450 to 54 computations (88% saved)
ival-log: 22.0ms (42.3% of total)ival-hypot: 7.0ms (13.4% of total)ival-log1p: 4.0ms (7.7% of total)ival-div: 3.0ms (5.8% of total)ival-copysign: 3.0ms (5.8% of total)adjust: 3.0ms (5.8% of total)ival-add: 3.0ms (5.8% of total)ival-fabs: 3.0ms (5.8% of total)ival-sub: 3.0ms (5.8% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) |
(log1p.f32 #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) |
#s(approx (fabs (neg x)) (fabs.f32 x)) |
(log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) |
(+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) |
(log.f32 (-.f32 #s(literal 1 binary32) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) |
(-.f32 #s(literal 1 binary32) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) 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))))))) |
(fabs x) |
(log (+ 1 (fabs (neg x)))) |
(fabs (neg x)) |
(+ 1 (fabs x)) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ 1/2 x) |
(/ (+ 1/2 (pow x 2)) 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)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* x (- (/ 1 x) 1)) |
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 (fabs (* -1 x)))) |
(fabs (* -1 x)) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (log (+ (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) 1) (log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 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) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x))) |
| 18.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (log (+ (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) 1) (log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 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) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x))) |
| 14.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (log (+ (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) 1) (log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 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) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 741 |
| 1 | 611 | 697 |
| 2 | 1829 | 648 |
| 3 | 6630 | 629 |
| 0 | 8559 | 580 |
| 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))))))) |
(fabs x) |
(log (+ 1 (fabs (neg x)))) |
(fabs (neg x)) |
(+ 1 (fabs x)) |
(* -1 x) |
(* x (- (* -1/2 x) 1)) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ 1/2 x) |
(/ (+ 1/2 (pow x 2)) 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)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(* x (- (/ 1 x) 1)) |
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 (fabs (* -1 x)))) |
(fabs (* -1 x)) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fabs x) |
(fabs.f32 x) |
(log (+ 1 (fabs (neg x)))) |
(log1p.f32 (fabs.f32 x)) |
(fabs (neg x)) |
(fabs.f32 x) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(* -1 x) |
(neg.f32 x) |
(* x (- (* -1/2 x) 1)) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x) |
(* x (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x) |
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 x)) |
(-.f32 #s(literal 1 binary32) 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 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (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)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (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)) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (pow x 2)) x) |
(/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)) |
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) |
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)) (/.f32 #s(literal 1 binary32) x)) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) |
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)) x)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) |
(fma.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))) |
(* x (- (/ 1 x) 1)) |
(-.f32 #s(literal 1 binary32) x) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f32 (fabs.f32 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (+.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 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 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) x))) |
(* -1 (log (/ -1 x))) |
(log.f32 (neg.f32 x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 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))) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x)) |
(log (+ 1 (fabs (* -1 x)))) |
(log1p.f32 (fabs.f32 x)) |
(fabs (* -1 x)) |
(fabs.f32 x) |
(- (* -1 (log (/ -1 x))) (/ 1 x)) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) |
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) x)) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f32 #s(literal 1 binary32) x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f32 (fabs.f32 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 252 |
| 0 | 53 | 242 |
| 1 | 160 | 242 |
| 2 | 1120 | 242 |
| 0 | 8363 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) |
(log1p.f32 #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) |
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))) |
#s(approx (fabs (neg x)) (fabs.f32 x)) |
(log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) |
(+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)) |
(log.f32 (-.f32 #s(literal 1 binary32) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) |
(-.f32 #s(literal 1 binary32) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) |
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(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) x) |
(fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) x)) x) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x) x) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x) |
(fma.f32 #s(literal 1 binary32) x (/.f32 #s(literal 1/2 binary32) x)) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(fma.f32 x #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))) (neg.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x x))))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(+.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
Compiled 13 558 to 1 881 computations (86.1% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 6 | 342 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 4 | 6 | 10 |
| Total | 341 | 18 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| 11.8% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) | |
| ✓ | 38.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 32.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| ✓ | 25.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
| ✓ | 32.7% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| ✓ | 26.4% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
| ✓ | 14.9% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
| 23.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))))) x) | |
| 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) | |
| ✓ | 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) x))) x) |
| ✓ | 23.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
| ✓ | 20.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
| ✓ | 12.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| 14.4% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)))) x) | |
| 54.7% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) | |
| 54.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) | |
| 54.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) | |
| 55.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
Compiled 809 to 386 computations (52.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) 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)))) (log1p.f32 (fabs.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
2 calls:
| 7.0ms | x |
| 6.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 98.6% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x) |
2 calls:
| 6.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 98.0% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x)))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
2 calls:
| 9.0ms | x |
| 5.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | x |
| 97.8% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x) |
2 calls:
| 5.0ms | x |
| 5.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | x |
| 82.6% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
2 calls:
| 5.0ms | 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 |
|---|---|---|
| 71.3% | 3 | x |
| 71.3% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x) |
2 calls:
| 5.0ms | 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 |
|---|---|---|
| 71.3% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 71.3% | 3 | x |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.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 |
|---|---|---|
| 71.3% | 3 | x |
| 71.3% | 3 | (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)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) 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)))) (log1p.f32 #s(approx (fabs x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 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 |
| 3.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 2 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 62.1% | 2 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -6.7b remaining (-46.4%)
Threshold costs -6.7b (-46.4%)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) |
2 calls:
| 2.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | x |
| 55.1% | 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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14494360983371735 | 1.756749153137207 |
| 0.0ms | -1.066389799118042 | -0.24614043533802032 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14494360983371735 | 1.756749153137207 |
| 0.0ms | -1.066389799118042 | -0.24614043533802032 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14494360983371735 | 1.756749153137207 |
| 0.0ms | -1.066389799118042 | -0.24614043533802032 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14494360983371735 | 1.756749153137207 |
| 0.0ms | -3.445298194885254 | -1.066389799118042 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14545167982578278 | 2.810483694076538 |
| 0.0ms | -15.660367012023926 | -1.2803120613098145 |
Compiled 15 to 11 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14545167982578278 | 2.810483694076538 |
| 0.0ms | -15.660367012023926 | -1.2803120613098145 |
Compiled 15 to 11 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.810483694076538 | 10.503327369689941 |
| 0.0ms | -15.660367012023926 | -1.2803120613098145 |
Compiled 15 to 11 computations (26.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.810483694076538 | 10.503327369689941 |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 584 |
| 1 | 92 | 584 |
| 2 | 108 | 584 |
| 3 | 135 | 584 |
| 4 | 204 | 584 |
| 5 | 368 | 584 |
| 6 | 606 | 584 |
| 7 | 2068 | 584 |
| 8 | 5314 | 584 |
| 9 | 7354 | 584 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) 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 -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) 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 -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) 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 -2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))) |
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 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 (log (- 1 x)) (neg.f32 x))) x) |
| Outputs |
|---|
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) 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 -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) 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 -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) 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 -2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) 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 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 #s(approx (fabs x) x) #s(literal 1 binary32)))) x))) |
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))) |
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 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 (log (- 1 x)) (neg.f32 x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 217 |
| 0 | 46 | 204 |
| 1 | 115 | 204 |
| 2 | 684 | 171 |
| 3 | 7561 | 171 |
| 0 | 8093 | 158 |
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 0 | 224 | 741 |
| 1 | 611 | 697 |
| 2 | 1829 | 648 |
| 3 | 6630 | 629 |
| 0 | 8559 | 580 |
| 0 | 30 | 231 |
| 0 | 47 | 231 |
| 1 | 137 | 231 |
| 2 | 936 | 219 |
| 0 | 8815 | 205 |
| 0 | 177 | 595 |
| 1 | 500 | 566 |
| 2 | 1539 | 557 |
| 3 | 5382 | 505 |
| 0 | 8568 | 470 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 893 to 325 computations (63.6% saved)
Compiled 1 232 to 196 computations (84.1% saved)
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