
Time bar (total: 4.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 100% | 99.6% | 0% | 0.4% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 245.0ms | 8 256× | 0 | valid |
ival-asinh: 124.0ms (94.2% of total)ival-true: 5.0ms (3.8% of total)ival-assert: 3.0ms (2.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 1 | (0.00020513795607257634) | 2 | (-0.021990234032273293) | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 64 | 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 | 2 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 64 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 64 | |
| ↳ | (*.f32 x x) | overflow | 64 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 64 | |
| ↳ | (*.f32 x x) | overflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 187 | 2 |
| - | 1 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 187 | 2 | 0 |
| - | 1 | 0 | 66 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 187 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 332× | 0 | valid |
| 33.0ms | 180× | 1 | valid |
Compiled 163 to 40 computations (75.5% saved)
ival-fabs: 58.0ms (57.4% of total)ival-hypot: 12.0ms (11.9% of total)ival-log: 11.0ms (10.9% of total)ival-add: 7.0ms (6.9% of total)ival-copysign: 5.0ms (4.9% of total)adjust: 3.0ms (3% of total)ival-mult: 3.0ms (3% 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 | 27 | 7 |
| 4 | 56 | 7 |
| 5 | 80 | 7 |
| 6 | 87 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 26 | 12 |
| 2 | 47 | 12 |
| 3 | 135 | 12 |
| 4 | 435 | 12 |
| 5 | 734 | 12 |
| 6 | 1343 | 12 |
| 7 | 3335 | 12 |
| 8 | 4107 | 12 |
| 9 | 4904 | 12 |
| 10 | 5261 | 12 |
| 11 | 5615 | 12 |
| 12 | 6156 | 12 |
| 13 | 6411 | 12 |
| 14 | 7969 | 12 |
| 0 | 8048 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) | |
| cost-diff | 1 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 49 |
| 1 | 26 | 49 |
| 2 | 47 | 49 |
| 3 | 135 | 49 |
| 4 | 435 | 49 |
| 5 | 734 | 49 |
| 6 | 1343 | 49 |
| 7 | 3335 | 49 |
| 8 | 4107 | 49 |
| 9 | 4904 | 49 |
| 10 | 5261 | 49 |
| 11 | 5615 | 49 |
| 12 | 6156 | 49 |
| 13 | 6411 | 49 |
| 14 | 7969 | 49 |
| 0 | 8048 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (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 | 0.0078125 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.015625 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 6.878365412468746 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 16.0ms | 90× | 1 | valid |
| 14.0ms | 166× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
ival-hypot: 6.0ms (27.3% of total)ival-log: 5.0ms (22.8% of total)ival-copysign: 3.0ms (13.7% of total)ival-add: 3.0ms (13.7% of total)adjust: 2.0ms (9.1% of total)ival-mult: 2.0ms (9.1% of total)ival-fabs: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 584 |
| 1 | 580 | 546 |
| 2 | 2287 | 527 |
| 0 | 8295 | 486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 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)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(+.f32 (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) (log.f32 x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 58 | 22 |
| 2 | 408 | 17 |
| 3 | 5902 | 17 |
| 0 | 8097 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 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 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (cosh.f32 (atanh.f32 (*.f32 x x)))) |
(*.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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (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 (neg.f32 (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(*.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 x))))) |
(*.f32 (fabs.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fabs.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (fabs.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)))) |
(*.f32 (+.f32 x #s(literal 1 binary32)) (neg.f32 (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x)))) |
(*.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x 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 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (cosh.f32 (atanh.f32 (*.f32 x x)))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(*.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) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 x))) |
(*.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 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.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 (-.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 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) |
(/.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) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x 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) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x 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 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 x))) (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x)) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x)))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x 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)) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x 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))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (sinh.f32 (acosh.f32 x)) (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x) (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal 2 binary32))) |
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(+.f32 (sin.f32 (acos.f32 x)) x) |
(+.f32 x (neg.f32 (neg.f32 (sin.f32 (acos.f32 x))))) |
(+.f32 x (sin.f32 (acos.f32 x))) |
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(exp.f32 (asinh.f32 x)) |
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(neg.f32 (/.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (*.f32 x x) (*.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)))))) |
(neg.f32 (-.f32 #s(literal 0 binary32) (exp.f32 (asinh.f32 x)))) |
(*.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x))))) |
(*.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) (sqrt.f32 (sin.f32 (acos.f32 x)))) |
(*.f32 (pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (/.f32 #s(literal 1 binary32) (sinh.f32 (acosh.f32 x)))) |
(*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (cos.f32 (atan.f32 (hypot.f32 x (*.f32 x x))))) |
(*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 1/2 binary32)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal -2 binary32)) |
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (fabs.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x))) |
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sin.f32 (acos.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 (fma.f32 x x #s(literal -1 binary32)) x) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (cosh.f32 (atanh.f32 (*.f32 x x))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32))))) (cosh.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x))))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32))))) (sinh.f32 (log.f32 (-.f32 (*.f32 x x) (*.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)))))))) |
(-.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (acos.f32 x))) (*.f32 #s(literal 0 binary32) x)) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (cosh.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (asinh.f32 x)))) (*.f32 (sinh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (sinh.f32 (log.f32 (-.f32 #s(literal 0 binary32) (exp.f32 (asinh.f32 x))))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) |
(-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (*.f32 (sinh.f32 (asinh.f32 (*.f32 x x))) x)) |
(fma.f32 (cosh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (cosh.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (asinh.f32 x))) (*.f32 (sinh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (sinh.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (asinh.f32 x))))) |
(fma.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (neg.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))))) |
(pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(sin.f32 (acos.f32 (exp.f32 (log.f32 x)))) |
(sin.f32 (acos.f32 x)) |
(fabs.f32 (neg.f32 (sin.f32 (acos.f32 x)))) |
(fabs.f32 (sin.f32 (acos.f32 x))) |
(+.f32 (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (log.f32 (sin.f32 (acos.f32 x)))) (sinh.f32 (log.f32 (sin.f32 (acos.f32 x))))) |
(+.f32 (*.f32 (cosh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (cosh.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (asinh.f32 x)))) (*.f32 (sinh.f32 (log.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (sinh.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (asinh.f32 x))))) |
(+.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (neg.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sin.f32 (acos.f32 x)))) |
(cosh.f32 (asinh.f32 (exp.f32 (log.f32 x)))) |
(cosh.f32 (asinh.f32 x)) |
(cos.f32 (asin.f32 (exp.f32 (log.f32 x)))) |
(cos.f32 (asin.f32 x)) |
Compiled 11 865 to 2 424 computations (79.6% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 4 | 489 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 485 | 5 | 490 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ▶ | 29.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
| ▶ | 26.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
| ▶ | 30.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 87 to 63 computations (27.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) | |
| cost-diff | 1 | (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) | |
| cost-diff | 1 | (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) | |
| cost-diff | 4 | (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) | |
| cost-diff | 0 | (asinh.f32 x) | |
| cost-diff | 0 | (copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 382 |
| 0 | 65 | 382 |
| 1 | 90 | 382 |
| 2 | 168 | 382 |
| 3 | 477 | 382 |
| 4 | 1715 | 357 |
| 5 | 4900 | 357 |
| 6 | 6945 | 357 |
| 0 | 8684 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 x) |
x |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) |
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x x) (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x x) (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x x) (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x x) (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(-.f32 (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x x) (/.f32 #s(literal -1/2 binary32) x)) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(-.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 #s(literal -1/8 binary32) x)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) | |
| accuracy | 6.878365412468746 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) | |
| accuracy | 15.448621485917041 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 8.281250128986963 | (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) | |
| accuracy | 15.852689737328198 | (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) | |
| accuracy | 24.18006968195924 | #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) | |
| accuracy | 0.125 | (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) | |
| accuracy | 6.14400982027393 | (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) | |
| accuracy | 22.32055693863303 | #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)) | |
| accuracy | 0.0 | (copysign.f32 (asinh.f32 x) x) | |
| accuracy | 0.1484375 | (asinh.f32 x) |
| 57.0ms | 90× | 1 | valid |
| 48.0ms | 166× | 0 | valid |
Compiled 623 to 70 computations (88.8% saved)
ival-copysign: 10.0ms (14.3% of total)ival-add: 10.0ms (14.3% of total)ival-div: 8.0ms (11.4% of total)ival-asinh: 8.0ms (11.4% of total)ival-pow: 8.0ms (11.4% of total)ival-hypot: 6.0ms (8.6% of total)adjust: 5.0ms (7.1% of total)ival-mult: 5.0ms (7.1% of total)ival-log: 5.0ms (7.1% of total)ival-sub: 3.0ms (4.3% of total)ival-fabs: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (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)))))) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(fabs x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* 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)))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((copysign (asinh x) x) (asinh x) (* (+ (/ (/ -1/2 x) x) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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))) (fabs x) (sqrt (+ (* x x) 1)) (/ (/ -1/2 x) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt (+ (* x x) 1))) |
| 3.0ms | x | @ | inf | ((copysign (asinh x) x) (asinh x) (* (+ (/ (/ -1/2 x) x) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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))) (fabs x) (sqrt (+ (* x x) 1)) (/ (/ -1/2 x) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt (+ (* x x) 1))) |
| 2.0ms | x | @ | -inf | ((copysign (asinh x) x) (asinh x) (* (+ (/ (/ -1/2 x) x) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ (/ -1/2 x) x)) (/ 1/8 (pow x 4))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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))) (fabs x) (sqrt (+ (* x x) 1)) (/ (/ -1/2 x) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 953 |
| 1 | 815 | 901 |
| 2 | 3049 | 887 |
| 0 | 8429 | 828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (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)))))) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(fabs x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* 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)))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) x) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (-.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/ 1/16 (pow x 5)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 x x #s(literal 1/2 binary32)) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ 1/16 (pow x 6)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(fabs x) |
(fabs.f32 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 (pow x 2)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (-.f32 (log.f32 x) (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal 1/2 binary32))) (/.f32 (fabs.f32 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)))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (-.f32 (log.f32 x) (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal 1/2 binary32))) (/.f32 (fabs.f32 x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (fma.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) x x) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 289 |
| 0 | 65 | 268 |
| 1 | 231 | 268 |
| 2 | 2082 | 259 |
| 0 | 8931 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(log.f32 (exp.f32 (asinh.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))) |
(asinh.f32 x) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) x) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x)) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) |
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) |
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 #s(literal 1 binary32) x (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 #s(literal -1 binary32) x (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x) |
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 x #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(fma.f32 x #s(literal -1 binary32) (*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) |
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x #s(literal -1 binary32))) |
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x) |
(+.f32 (*.f32 x #s(literal -1 binary32)) (*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) |
(+.f32 (*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 x #s(literal -1 binary32))) |
(+.f32 x (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x)) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))))) |
(*.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x))))) |
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x)) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))))) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x x))) |
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(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) |
(*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (neg.f32 (/.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) |
(*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal -2 binary32))) |
(sqrt.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32))) x) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) x) |
(/.f32 (fabs.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) x) |
(/.f32 (fabs.f32 (/.f32 #s(literal 1 binary32) x)) (fabs.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 (fabs.f32 (/.f32 #s(literal 1/2 binary32) x)) x) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)) x) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal -2 binary32))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal -1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(pow.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32)) |
(fabs.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(exp.f32 (*.f32 (log.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) x x)) |
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(*.f32 (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/2 binary32)) |
(fabs.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(fabs.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sinh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(exp.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
Compiled 23 614 to 3 389 computations (85.6% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 582 | 3 | 585 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 585 | 5 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.0% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
| ✓ | 37.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ▶ | 25.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) |
| ▶ | 31.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 78 to 55 computations (29.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) | |
| cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) | |
| cost-diff | 4 | (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 274 |
| 0 | 50 | 270 |
| 1 | 73 | 270 |
| 2 | 130 | 230 |
| 3 | 427 | 230 |
| 4 | 1724 | 230 |
| 5 | 3255 | 230 |
| 6 | 4331 | 230 |
| 7 | 5483 | 230 |
| 8 | 5855 | 230 |
| 9 | 6872 | 230 |
| 0 | 8184 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)) |
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) 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 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) 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 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) 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 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x) |
(-.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.878365412468746 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 7.277341724445418 | (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) | |
| accuracy | 12.47108040756532 | (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) | |
| accuracy | 15.448621485917041 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 0.125 | (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) | |
| accuracy | 12.371278043281364 | (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) | |
| accuracy | 23.90559511067885 | #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)) | |
| accuracy | 0.015625 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) | |
| accuracy | 12.628583707333627 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) | |
| accuracy | 15.536122300759457 | #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)) | |
| accuracy | 22.32055693863303 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) |
| 62.0ms | 149× | 1 | valid |
| 20.0ms | 107× | 0 | valid |
Compiled 435 to 59 computations (86.4% saved)
ival-log: 12.0ms (19.6% of total)adjust: 10.0ms (16.4% of total)ival-div: 9.0ms (14.7% of total)ival-hypot: 8.0ms (13.1% of total)ival-add: 8.0ms (13.1% of total)ival-copysign: 6.0ms (9.8% of total)ival-mult: 6.0ms (9.8% of total)ival-fabs: 2.0ms (3.3% of total)ival-neg: 1.0ms (1.6% 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 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x))) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(/ 1/2 x) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/2 (pow x 2)) |
(+ 1 (pow x 2)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ (/ 1/2 x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x) (sqrt (+ (* x x) 1)) (/ (/ 1/2 x) x) (+ (* x x) 1)) |
| 2.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ (/ 1/2 x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x) (sqrt (+ (* x x) 1)) (/ (/ 1/2 x) x) (+ (* x x) 1)) |
| 1.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ (/ 1/2 x) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x) (sqrt (+ (* x x) 1)) (/ (/ 1/2 x) x) (+ (* x x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 923 |
| 1 | 836 | 871 |
| 2 | 3110 | 858 |
| 0 | 8409 | 803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(/ 1/2 x) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/2 (pow x 2)) |
(+ 1 (pow x 2)) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(fabs x) |
(fabs.f32 x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (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) (*.f32 x x)) x) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) 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 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #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))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) (neg.f32 x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 251 |
| 0 | 50 | 227 |
| 1 | 169 | 227 |
| 2 | 1281 | 175 |
| 0 | 9168 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x))) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))))) |
(+.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))))) |
(*.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))) (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) |
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)) (*.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)))) (*.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)) x) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)) x) |
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) x)) (neg.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 x #s(literal -2 binary32))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal -1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 (/.f32 #s(literal 0 binary32) x) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(pow.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32)) |
(fabs.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(exp.f32 (*.f32 (log.f32 (/.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
Compiled 15 242 to 2 199 computations (85.6% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 1 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 2 | 2 |
| Total | 444 | 4 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 31.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
| ▶ | 23.6% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 64 to 46 computations (28.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) | |
| cost-diff | 0 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) | |
| cost-diff | 0 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 94 |
| 0 | 19 | 94 |
| 1 | 31 | 94 |
| 2 | 64 | 94 |
| 3 | 194 | 94 |
| 4 | 754 | 74 |
| 5 | 2183 | 74 |
| 6 | 3638 | 74 |
| 7 | 5775 | 74 |
| 8 | 6554 | 74 |
| 9 | 7308 | 74 |
| 10 | 7681 | 74 |
| 0 | 8002 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.277341724445418 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) | |
| accuracy | 12.47108040756532 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) | |
| accuracy | 22.32055693863303 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) | |
| accuracy | 31.265650397391077 | #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
| 92.0ms | 149× | 1 | valid |
| 10.0ms | 107× | 0 | valid |
Compiled 140 to 30 computations (78.6% saved)
ival-add: 66.0ms (70.4% of total)ival-hypot: 8.0ms (8.5% of total)ival-log: 7.0ms (7.5% of total)ival-div: 5.0ms (5.3% of total)ival-copysign: 3.0ms (3.2% of total)adjust: 3.0ms (3.2% of total)ival-mult: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x)) |
| 1.0ms | x | @ | -inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x)) |
| 1.0ms | x | @ | inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ (/ -1/2 x) x) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 465 |
| 1 | 414 | 457 |
| 2 | 1335 | 448 |
| 3 | 6101 | 444 |
| 0 | 8131 | 422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 3/40 binary32) (*.f32 x x) #s(literal -1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x) #s(literal -1/6 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (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) (*.f32 x x)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal 1 binary32)) x) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 7 binary32)))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 93 |
| 0 | 19 | 81 |
| 1 | 85 | 81 |
| 2 | 669 | 81 |
| 0 | 8204 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) |
(/.f32 (-.f32 (*.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x)))) (*.f32 (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) (+.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
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(+.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x))) |
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(fma.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(fma.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
(fma.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
(fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) |
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) |
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) #s(literal -1 binary32)) |
(+.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 0 binary32)) x) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(+.f32 (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)))) |
(+.f32 (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)))))) |
(neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) (*.f32 (neg.f32 x) x)) (fma.f32 #s(literal -1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x))) |
(neg.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) |
#s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x) |
Compiled 12 881 to 713 computations (94.5% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 145 | 4 | 149 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 31.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
| ✓ | 23.6% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 236 to 120 computations (49.2% saved)
Total -31.4b remaining (-21175.6%)
Threshold costs -31.4b (-21175.6%)
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) x)) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ (/ -1/2 x) x) -1) x) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 58 | 22 |
| 2 | 408 | 17 |
| 3 | 5902 | 17 |
| 0 | 8097 | 16 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 25 to 16 computations (36% saved)
Compiled 72 to 44 computations (38.9% saved)
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