
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 100% | 99.6% | 0% | 0.4% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 431.0ms | 8 256× | 0 | valid |
ival-asinh: 211.0ms (96% of total)ival-true: 6.0ms (2.7% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 117 | 0 | - | 1 | (0.020204104483127594) | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 78 | 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 | 114 | 1 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 78 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 78 | |
| ↳ | (*.f32 x x) | overflow | 78 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 2 | |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 78 | |
| ↳ | (*.f32 x x) | overflow | 78 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 192 | 2 |
| - | 0 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 192 | 1 | 1 |
| - | 0 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 190 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 358× | 0 | valid |
| 58.0ms | 154× | 1 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-hypot: 44.0ms (55.4% of total)ival-log: 14.0ms (17.6% of total)ival-add: 6.0ms (7.6% of total)ival-copysign: 5.0ms (6.3% of total)ival-mult: 4.0ms (5% of total)adjust: 3.0ms (3.8% of total)ival-fabs: 3.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 42 | 12 |
| 3 | 69 | 12 |
| 4 | 84 | 12 |
| 0 | 84 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.4% | (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 | 24 | 49 |
| 2 | 42 | 49 |
| 3 | 69 | 49 |
| 4 | 84 | 49 |
| 0 | 84 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.03515625 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 8.33563536600311 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 53.0ms | 179× | 0 | valid |
| 14.0ms | 77× | 1 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-hypot: 43.0ms (71.7% of total)ival-log: 6.0ms (10% of total)ival-copysign: 3.0ms (5% of total)ival-add: 3.0ms (5% of total)adjust: 2.0ms (3.3% of total)ival-mult: 2.0ms (3.3% of total)ival-fabs: 1.0ms (1.7% 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))) |
| 2.0ms | x | @ | -inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 584 |
| 1 | 568 | 546 |
| 2 | 2202 | 528 |
| 0 | 8591 | 488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 2 | 375 | 17 |
| 3 | 4916 | 17 |
| 0 | 8251 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (sin.f32 (acos.f32 x))) |
(*.f32 (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32)))) |
(*.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 x))))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x)))) |
(*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 x))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) |
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 x))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x)))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (sinh.f32 (acosh.f32 x)) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 2 binary32))) |
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(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal -2 binary32)) |
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (fabs.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sin.f32 (acos.f32 x))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (cosh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) (*.f32 (sinh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (sinh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (cosh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (sinh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x))))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) |
(-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (*.f32 (sinh.f32 (asinh.f32 (*.f32 x x))) x)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32)) |
(pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(sin.f32 (acos.f32 (exp.f32 (log.f32 x)))) |
(sin.f32 (acos.f32 x)) |
(fabs.f32 (neg.f32 (sin.f32 (acos.f32 x)))) |
(fabs.f32 (sin.f32 (acos.f32 x))) |
(+.f32 (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (log.f32 (sin.f32 (acos.f32 x)))) (sinh.f32 (log.f32 (sin.f32 (acos.f32 x))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sin.f32 (acos.f32 x)))) |
(cosh.f32 (asinh.f32 (exp.f32 (log.f32 x)))) |
(cosh.f32 (asinh.f32 x)) |
(cos.f32 (asin.f32 (exp.f32 (log.f32 x)))) |
(cos.f32 (asin.f32 x)) |
Compiled 11 787 to 2 608 computations (77.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 4 | 497 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 493 | 5 | 498 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 35.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ▶ | 29.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
| ▶ | 28.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
| ▶ | 30.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
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 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) | |
| cost-diff | 2 | (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) | |
| cost-diff | 4 | (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) | |
| cost-diff | 0 | (asinh.f32 x) | |
| cost-diff | 0 | (copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 382 |
| 0 | 63 | 382 |
| 1 | 83 | 382 |
| 2 | 125 | 382 |
| 3 | 212 | 382 |
| 4 | 417 | 362 |
| 5 | 1093 | 362 |
| 6 | 2296 | 357 |
| 7 | 3580 | 357 |
| 8 | 5572 | 357 |
| 0 | 8302 | 339 |
| 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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x)) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(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 | 0.03515625 | (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) | |
| accuracy | 8.33563536600311 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) | |
| accuracy | 13.805590833259593 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 7.324218864207205 | (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) | |
| accuracy | 14.242670672061816 | (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) | |
| accuracy | 22.92349708434643 | #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) | |
| accuracy | 0.46899197554685146 | (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) | |
| accuracy | 6.014751592586797 | (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) | |
| accuracy | 22.08698604369715 | #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) | |
| accuracy | 0.0 | (copysign.f32 (asinh.f32 x) x) | |
| accuracy | 0.14453125 | (asinh.f32 x) |
| 99.0ms | 179× | 0 | valid |
| 68.0ms | 77× | 1 | valid |
Compiled 241 to 30 computations (87.6% saved)
ival-sub: 90.0ms (59.5% of total)ival-fabs: 10.0ms (6.6% of total)ival-pow: 8.0ms (5.3% of total)ival-div: 6.0ms (4% of total)ival-add: 6.0ms (4% of total)ival-mult: 6.0ms (4% of total)ival-hypot: 6.0ms (4% of total)ival-copysign: 5.0ms (3.3% of total)ival-log: 5.0ms (3.3% of total)adjust: 4.0ms (2.6% of total)ival-asinh: 4.0ms (2.6% of total)exact: 1.0ms (0.7% 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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
#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)) |
(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)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ 1 (pow x 2)) |
(+ (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 955 |
| 1 | 784 | 903 |
| 2 | 2817 | 884 |
| 0 | 8249 | 832 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(/ -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)) |
(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)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ 1 (pow x 2)) |
(+ (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)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x) |
(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)))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #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 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(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 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(/ -1/2 (pow x 2)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/ 1/16 (pow x 6)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(+ 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 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32)) (log.f32 x))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (/.f32 (+.f32 (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 #s(literal -1/2 binary32) (*.f32 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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (neg.f32 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 319 |
| 0 | 63 | 295 |
| 1 | 208 | 295 |
| 2 | 1572 | 285 |
| 0 | 9646 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))) |
(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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
#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 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
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(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
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(/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))))) (neg.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))))) (neg.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32)))))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal -1/8 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal -1/8 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1/8 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))) |
(-.f32 (/.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32))))) |
(-.f32 (/.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)))))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x))))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal -1/8 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/8 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal -1/8 binary32)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 12 binary32)))) |
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 12 binary32)))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))) (/.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32)))))) |
(-.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x))) |
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32)) |
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(*.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 17 274 to 2 500 computations (85.5% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 419 | 3 | 422 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 422 | 5 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 15.4% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
| ✓ | 35.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ▶ | 28.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
| ▶ | 32.2% | (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 107 to 76 computations (29% 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)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) | |
| cost-diff | 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))) (neg.f32 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 | 47 | 461 |
| 0 | 67 | 461 |
| 1 | 93 | 461 |
| 2 | 143 | 461 |
| 3 | 240 | 461 |
| 4 | 472 | 441 |
| 5 | 1175 | 441 |
| 6 | 2196 | 419 |
| 7 | 3590 | 413 |
| 8 | 5855 | 413 |
| 9 | 7611 | 413 |
| 0 | 8325 | 389 |
| 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)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))) |
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(-.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))) |
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 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) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))) |
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(-.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))) |
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 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) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.6876959555837665 | (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) | |
| accuracy | 8.33563536600311 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 11.622255574532481 | (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) | |
| accuracy | 13.805590833259593 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 4.761718823898781 | (-.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))) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) | |
| accuracy | 14.759854087432364 | #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))) | |
| accuracy | 22.92349708434643 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))) | |
| accuracy | 0.03515625 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) | |
| accuracy | 11.772386196561973 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) | |
| accuracy | 13.881386333833706 | #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) | |
| accuracy | 22.08698604369715 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
| 96.0ms | 141× | 1 | valid |
| 34.0ms | 115× | 0 | valid |
Compiled 215 to 37 computations (82.8% saved)
ival-sub: 21.0ms (19.2% of total)ival-mult: 13.0ms (11.9% of total)ival-div: 12.0ms (11% of total)ival-log: 12.0ms (11% of total)adjust: 10.0ms (9.1% of total)ival-pow: 9.0ms (8.2% of total)ival-add: 9.0ms (8.2% of total)ival-hypot: 8.0ms (7.3% of total)ival-copysign: 6.0ms (5.5% of total)ival-fabs: 6.0ms (5.5% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))) |
(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)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))) |
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))) |
(-.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))) |
#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) |
(/ -1/8 (pow x 3)) |
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3)) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4)) |
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4)) |
(+ 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)))) |
(+ (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))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(- (/ 1/8 (pow x 4)) (+ 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))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 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))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 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) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 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) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (+ (* x x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1092 |
| 1 | 894 | 1038 |
| 2 | 3183 | 1019 |
| 0 | 8266 | 955 |
| 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) |
(/ -1/8 (pow x 3)) |
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3)) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4)) |
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4)) |
(+ 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)))) |
(+ (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))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(- (/ 1/8 (pow x 4)) (+ 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))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 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))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(fabs x) |
(fabs.f32 x) |
(/ -1/8 (pow x 3)) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3)) |
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3)) |
(-.f32 (/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(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 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (-.f32 (fma.f32 #s(literal -5/112 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 3/40 binary32) (*.f32 x x))) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 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 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32) (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x) |
(/ 1/16 (pow x 5)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ 1/8 (pow x 4)) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4)) |
(/.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.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)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* 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 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #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 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #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))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(*.f32 (neg.f32 x) (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #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 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/2 binary32)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(*.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 422 |
| 0 | 67 | 398 |
| 1 | 238 | 398 |
| 2 | 1935 | 380 |
| 0 | 9023 | 365 |
| 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 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))) |
(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)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))) |
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))) |
(-.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))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))) |
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(-.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))) |
(-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 binary32) x))))) (/.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 binary32) x)))))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) x) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x)))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal -1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x)))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal 1 binary32)) x) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) (/.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x))) (/.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x)))) |
(+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x))) (/.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal -1/2 binary32)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 x x)))) |
(+.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.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)))) (/.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (-.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))))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(+.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))) |
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32)) |
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
Compiled 19 919 to 1 888 computations (90.5% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 1 | 332 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 2 | 2 |
| Total | 333 | 4 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 35.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 32.2% | (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) |
| ▶ | 27.7% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 64 to 44 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) | |
| cost-diff | 0 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) | |
| cost-diff | 0 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 94 |
| 0 | 18 | 94 |
| 1 | 30 | 94 |
| 2 | 61 | 94 |
| 3 | 126 | 94 |
| 4 | 293 | 74 |
| 5 | 849 | 74 |
| 6 | 1844 | 74 |
| 7 | 2472 | 74 |
| 8 | 2727 | 74 |
| 9 | 2806 | 74 |
| 10 | 2856 | 74 |
| 11 | 2896 | 74 |
| 12 | 3384 | 74 |
| 13 | 3603 | 74 |
| 14 | 4458 | 74 |
| 15 | 5042 | 74 |
| 16 | 5760 | 74 |
| 17 | 7015 | 74 |
| 18 | 7936 | 74 |
| 0 | 8030 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.6876959555837665 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) | |
| accuracy | 11.622255574532481 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) | |
| accuracy | 22.08698604369715 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) | |
| accuracy | 31.31355520131643 | #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
| 49.0ms | 141× | 1 | valid |
| 11.0ms | 115× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-hypot: 27.0ms (54.3% of total)ival-log: 6.0ms (12.1% of total)ival-add: 4.0ms (8% of total)ival-mult: 4.0ms (8% of total)adjust: 3.0ms (6% of total)ival-copysign: 3.0ms (6% of total)ival-div: 2.0ms (4% 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 | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1.0ms | x | @ | -inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1.0ms | x | @ | inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 465 |
| 1 | 392 | 457 |
| 2 | 1162 | 449 |
| 3 | 4121 | 447 |
| 0 | 8210 | 426 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) (/.f32 #s(literal -5/128 binary32) (pow.f32 x #s(literal 7 binary32)))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 93 |
| 0 | 18 | 81 |
| 1 | 76 | 81 |
| 2 | 536 | 81 |
| 3 | 6732 | 81 |
| 0 | 8140 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(/.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x))))) (log.f32 (pow.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))) (log.f32 (*.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))) |
(/.f32 (-.f32 (log.f32 (pow.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (log.f32 (pow.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (log.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))) (log.f32 (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))) |
(/.f32 (-.f32 (pow.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))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) #s(literal 3 binary32))) (fma.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))) (fma.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)))))) |
(/.f32 (-.f32 (pow.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)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) #s(literal 3 binary32))) (fma.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 (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 (log.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (pow.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (log.f32 (-.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))))))))) |
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(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(+.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))) |
(neg.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
Compiled 13 238 to 651 computations (95.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 0 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 124 | 4 | 128 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 35.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| ✓ | 32.2% | (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) |
| ✓ | 27.7% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
Compiled 265 to 129 computations (51.3% saved)
Total -31.4b remaining (-21694.6%)
Threshold costs -31.4b (-21694.6%)
| 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 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 99.5% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 2 | 375 | 17 |
| 3 | 4916 | 17 |
| 0 | 8251 | 16 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 4 to 3 computations (25% saved)
Compiled 72 to 44 computations (38.9% saved)
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