Given's Rotation SVD example, simplified
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 19 to 11 computations (42.1% saved)
| 1.5s | 2 871× | 2 | valid |
| 321.0ms | 4 147× | 0 | valid |
| 320.0ms | 1 238× | 1 | valid |
ival-hypot: 1.1s (57.3% of total)adjust: 185.0ms (9.6% of total)ival-sqrt: 162.0ms (8.4% of total)ival-div: 158.0ms (8.2% of total)ival-mult: 107.0ms (5.6% of total)ival-add: 102.0ms (5.3% of total)ival-sub: 88.0ms (4.6% of total)exact: 9.0ms (0.5% of total)ival-true: 6.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 73 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (hypot.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) | cancellation | 73 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 73 | 0 |
| - | 0 | 183 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 73 | 0 | 0 |
| - | 0 | 0 | 183 |
| number | freq |
|---|---|
| 0 | 183 |
| 1 | 73 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 170× | 2 | valid |
| 36.0ms | 260× | 0 | valid |
| 19.0ms | 82× | 1 | valid |
Compiled 174 to 31 computations (82.2% saved)
ival-hypot: 31.0ms (33.3% of total)ival-mult: 22.0ms (23.7% of total)ival-sqrt: 12.0ms (12.9% of total)adjust: 11.0ms (11.8% of total)ival-div: 7.0ms (7.5% of total)ival-sub: 5.0ms (5.4% of total)ival-add: 5.0ms (5.4% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 1 | 37 | 27 |
| 2 | 70 | 27 |
| 3 | 95 | 27 |
| 4 | 127 | 27 |
| 5 | 134 | 27 |
| 0 | 9 | 12 |
| 0 | 18 | 12 |
| 1 | 35 | 10 |
| 2 | 65 | 10 |
| 3 | 105 | 10 |
| 4 | 137 | 10 |
| 5 | 144 | 10 |
| 0 | 144 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(abs x)
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 18 | 49 |
| 1 | 35 | 43 |
| 2 | 65 | 43 |
| 3 | 105 | 43 |
| 4 | 137 | 43 |
| 5 | 144 | 43 |
| 0 | 144 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 32.0ms | 85× | 2 | valid |
| 11.0ms | 130× | 0 | valid |
| 7.0ms | 41× | 1 | valid |
Compiled 81 to 11 computations (86.4% saved)
ival-hypot: 12.0ms (29.8% of total)ival-div: 8.0ms (19.9% of total)ival-sqrt: 8.0ms (19.9% of total)adjust: 5.0ms (12.4% of total)ival-mult: 3.0ms (7.5% of total)ival-sub: 2.0ms (5% of total)ival-add: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(- 1 (sqrt 1/2)) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ 1 (/ 1 x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
(/ -1 x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x))))) |
| 1.0ms | x | @ | inf | ((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x))))) |
| 1.0ms | x | @ | -inf | ((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 845 |
| 1 | 633 | 767 |
| 2 | 1960 | 714 |
| 3 | 7820 | 714 |
| 0 | 8462 | 676 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(- 1 (sqrt 1/2)) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ 1 (/ 1 x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
(/ -1 x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64) (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(- 1 (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
(- 1/2 (* 1/2 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 0 | 18 | 33 |
| 1 | 82 | 33 |
| 2 | 609 | 33 |
| 3 | 6358 | 33 |
| 0 | 8243 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (cosh.f64 (atanh.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) (-.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (fma.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64))) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(neg.f64 (neg.f64 (cosh.f64 (atanh.f64 x)))) |
(fma.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (acos.f64 (neg.f64 (tanh.f64 (asinh.f64 x))))) |
(sin.f64 (acos.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x))))) |
(sin.f64 (acos.f64 (sin.f64 (neg.f64 (atan.f64 x))))) |
(sin.f64 (acos.f64 (fabs.f64 (tanh.f64 (asinh.f64 x))))) |
(sin.f64 (acos.f64 (tanh.f64 (asinh.f64 x)))) |
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x))) |
(cosh.f64 (atanh.f64 (exp.f64 (log.f64 x)))) |
(cosh.f64 (atanh.f64 (neg.f64 x))) |
(cosh.f64 (atanh.f64 x)) |
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(-.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (neg.f64 (cosh.f64 (atanh.f64 x)))) |
(fabs.f64 (cosh.f64 (atanh.f64 x))) |
(cos.f64 (asin.f64 (neg.f64 (tanh.f64 (asinh.f64 x))))) |
(cos.f64 (asin.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x))))) |
(cos.f64 (asin.f64 (sin.f64 (neg.f64 (atan.f64 x))))) |
(cos.f64 (asin.f64 (fabs.f64 (tanh.f64 (asinh.f64 x))))) |
(cos.f64 (asin.f64 (tanh.f64 (asinh.f64 x)))) |
(cos.f64 (atan.f64 (exp.f64 (log.f64 x)))) |
(cos.f64 (neg.f64 (atan.f64 x))) |
(cos.f64 (atan.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (atanh.f64 x))))) |
Compiled 8 248 to 1 577 computations (80.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 16 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 319 | 16 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| 26.0% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| ▶ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
| 2.6% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))))))) | |
| 48.3% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)))))) | |
| ▶ | 26.7% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
| 25.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| 49.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) | |
| 26.3% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) | |
| ▶ | 49.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
| 4.6% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 3.2% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 49.5% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 26.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) | |
| 49.5% | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| ▶ | 3.3% | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 974 to 614 computations (37% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) | |
| cost-diff | 16 | (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) | |
| cost-diff | 3 | (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 529 |
| 0 | 94 | 484 |
| 1 | 155 | 470 |
| 2 | 352 | 460 |
| 3 | 989 | 460 |
| 4 | 3214 | 456 |
| 5 | 6150 | 456 |
| 0 | 8211 | 446 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 3/16 binary64) (*.f64 x x)) |
#s(literal 3/16 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal -11/64 binary64) |
x |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 3/16 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/16 binary64)) |
#s(literal 3/16 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal -11/64 binary64) |
x |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.025722509768442016 | (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) | |
| accuracy | 0.05896381837909411 | (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) | |
| accuracy | 15.352435759829842 | (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) | |
| accuracy | 1.0 | (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 30.423449615081925 | (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 31.770114770141983 | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.0546875 | (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.19140625 | (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| accuracy | 30.57553181422194 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) | |
| accuracy | 27.066403891649827 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.00390625 | (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0234375 | (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 152.0ms | 86× | 2 | valid |
| 55.0ms | 128× | 0 | valid |
| 33.0ms | 42× | 1 | valid |
Compiled 671 to 51 computations (92.4% saved)
adjust: 49.0ms (26% of total)ival-sub: 35.0ms (18.6% of total)ival-mult: 30.0ms (15.9% of total)ival-div: 19.0ms (10.1% of total)ival-sqrt: 17.0ms (9% of total)ival-add: 14.0ms (7.4% of total)ival-hypot: 12.0ms (6.4% of total)ival-pow: 9.0ms (4.8% of total)ival-neg: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 3/16 binary64) (*.f64 x x)) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| Outputs |
|---|
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2)))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2))))))) |
(* 1/4 (sqrt 1/2)) |
(+ (* -11/64 (* (pow x 2) (sqrt 1/2))) (* 1/4 (sqrt 1/2))) |
1/2 |
(+ 1/2 (* 1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 3/32 (pow x 2)) 3/16))))) |
(* 3/16 (pow x 2)) |
(* -11/64 (* x (sqrt 1/2))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4)) |
(+ 1 (* -3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 15/8 (pow x 2)) 3/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 15/8 (* -35/16 (pow x 2)))) 3/2))) |
(+ 1/2 (* -1/2 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -1/4 (pow x 2)))) 1/2))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(* 3/16 (pow x 4)) |
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))) |
(* (pow x 4) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 4))) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (+ (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 4)))))) |
(* -11/64 (* (pow x 2) (sqrt 1/2))) |
(* (pow x 2) (+ (* -11/64 (sqrt 1/2)) (* 1/4 (/ (sqrt 1/2) (pow x 2))))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 3/4 (pow x 3))) |
(+ 1/2 (+ (* -1 (/ (+ 3/4 (* 1/2 (/ 1 x))) (pow x 3))) (* 1/2 (/ 1 x)))) |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3)))) |
(- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ (- 1 (* 3/2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 1 (/ 15/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 1 (/ 15/8 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 35/16 (/ 1 (pow x 6))))) (pow x 3)) |
(/ 1/2 (pow x 3)) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 3/4 (pow x 2))) (pow x 3)) |
(/ (+ 1/2 (+ (* -1 (/ (+ 3/4 (* 3/2 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x)))) (pow x 3)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 3/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 1/2 (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x))) |
(* -1 (+ 1/2 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(/ -1 (pow x 3)) |
(* -1 (/ (- 1 (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 35/16 (/ 1 (pow x 6))))) (pow x 3))) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/2 (/ 1 x)) 3/4) x))) x))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) (- 1 (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))))) (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)))) (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (* 3/16 (* x x)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (pow (sqrt (+ (* 1 1) (* x x))) -3) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) |
| 5.0ms | x | @ | inf | ((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) (- 1 (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))))) (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)))) (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (* 3/16 (* x x)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (pow (sqrt (+ (* 1 1) (* x x))) -3) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) |
| 3.0ms | x | @ | -inf | ((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) (- 1 (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))))) (sqrt (+ (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)))) (/ 1/8 (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4)) (* 3/16 (* x x)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (pow (sqrt (+ (* 1 1) (* x x))) -3) (/ (* 1/8 (pow (sqrt (+ (* 1 1) (* x x))) -3)) (+ (* (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (- (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) 1/4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1839 |
| 1 | 1398 | 1722 |
| 2 | 4582 | 1680 |
| 0 | 8361 | 1612 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2)))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2))))))) |
(* 1/4 (sqrt 1/2)) |
(+ (* -11/64 (* (pow x 2) (sqrt 1/2))) (* 1/4 (sqrt 1/2))) |
1/2 |
(+ 1/2 (* 1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 3/32 (pow x 2)) 3/16))))) |
(* 3/16 (pow x 2)) |
(* -11/64 (* x (sqrt 1/2))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4)) |
(+ 1 (* -3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 15/8 (pow x 2)) 3/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 15/8 (* -35/16 (pow x 2)))) 3/2))) |
(+ 1/2 (* -1/2 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -1/4 (pow x 2)))) 1/2))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(* 3/16 (pow x 4)) |
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))) |
(* (pow x 4) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 4))) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (+ (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 4)))))) |
(* -11/64 (* (pow x 2) (sqrt 1/2))) |
(* (pow x 2) (+ (* -11/64 (sqrt 1/2)) (* 1/4 (/ (sqrt 1/2) (pow x 2))))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 3/4 (pow x 3))) |
(+ 1/2 (+ (* -1 (/ (+ 3/4 (* 1/2 (/ 1 x))) (pow x 3))) (* 1/2 (/ 1 x)))) |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3)))) |
(- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3)))) |
(/ 1 (pow x 3)) |
(/ (- 1 (* 3/2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 1 (/ 15/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 1 (/ 15/8 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 35/16 (/ 1 (pow x 6))))) (pow x 3)) |
(/ 1/2 (pow x 3)) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 3/4 (pow x 2))) (pow x 3)) |
(/ (+ 1/2 (+ (* -1 (/ (+ 3/4 (* 3/2 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x)))) (pow x 3)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 3/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 1/2 (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x))) |
(* -1 (+ 1/2 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(/ -1 (pow x 3)) |
(* -1 (/ (- 1 (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 35/16 (/ 1 (pow x 6))))) (pow x 3))) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/2 (/ 1 x)) 3/4) x))) x))) (pow x 3))) |
| Outputs |
|---|
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 11/128 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -69/1024 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/16 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/4 (pow x 2)) 1/2) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/16 binary64)) #s(literal 1/2 binary64))) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 x x)) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
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(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) |
(- 1/2 (* 1/2 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64))) x)) x))) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64))) x)) x)) |
(+ 1/2 (* -1 (/ (- 1/2 (* 3/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) x)) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 1/2 (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
(* -1 (+ 1/2 (* 1/2 (/ 1 x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) |
(- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x)) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x)) #s(literal 1/2 binary64)) |
(/ -1 (pow x 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- 1 (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (/ (- (+ 1 (/ 15/8 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 35/16 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.f64 #s(literal 35/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/2 (/ 1 x)) 3/4) x))) x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3/4 binary64)) x)) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 415 |
| 0 | 94 | 356 |
| 1 | 373 | 346 |
| 2 | 3037 | 342 |
| 0 | 8312 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 3/16 binary64) (*.f64 x x)) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
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(/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3/16 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3/16 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 3/16 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 3/16 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/16 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/16 binary64)) |
(*.f64 #s(literal 3/16 binary64) (*.f64 x x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 3/16 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 3/16 binary64) x))) |
(*.f64 x (*.f64 #s(literal 3/16 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 9/256 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) |
(*.f64 (*.f64 x #s(literal -11/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -11/64 binary64)) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal -11/64 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -11/64 binary64) x)) |
(*.f64 x (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -3 binary64))) |
(*.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cos.f64 (atan.f64 x))) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cos.f64 (atan.f64 x)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal -3/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 (hypot.f64 #s(literal 1 binary64) x))) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -3/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -3/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -3/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))) |
Compiled 26 247 to 2 760 computations (89.5% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 570 | 13 | 583 |
| Fresh | 10 | 1 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 583 | 16 | 599 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) | |
| ▶ | 76.0% | (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
| ▶ | 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 48.3% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) | |
| 49.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) | |
| ✓ | 49.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
| 26.7% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 28.0% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 26.3% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
| 4.6% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| 50.8% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) | |
| 52.1% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| ▶ | 50.3% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
| 51.5% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) | |
| ▶ | 50.4% | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
Compiled 829 to 560 computations (32.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) | |
| cost-diff | 1 | (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64)) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| cost-diff | 0 | #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| cost-diff | 2 | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 306 |
| 0 | 78 | 300 |
| 1 | 127 | 286 |
| 2 | 259 | 286 |
| 3 | 759 | 286 |
| 4 | 2505 | 286 |
| 5 | 5268 | 286 |
| 6 | 7585 | 286 |
| 0 | 8567 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal -11/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal -11/64 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
#s(literal -11/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) x) #s(literal 1/8 binary64)) x) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) x) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) x) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) |
#s(literal -11/64 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
#s(literal 0 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) | |
| accuracy | 0.4375 | (/.f64 x (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.0 | (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 31.770114770141983 | #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) | |
| accuracy | 0.01953125 | (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 15.408889522046069 | (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) | |
| accuracy | 27.066403891649827 | #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) | |
| accuracy | 31.770114770141983 | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) | |
| accuracy | 26.04705270477029 | #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| accuracy | 15.408889522046069 | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 79.0ms | 85× | 2 | valid |
| 48.0ms | 130× | 0 | valid |
| 40.0ms | 41× | 1 | valid |
Compiled 359 to 41 computations (88.6% saved)
adjust: 32.0ms (23.3% of total)ival-div: 30.0ms (21.9% of total)ival-mult: 21.0ms (15.3% of total)ival-sub: 17.0ms (12.4% of total)ival-hypot: 12.0ms (8.7% of total)ival-sqrt: 12.0ms (8.7% of total)ival-add: 12.0ms (8.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64)) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(* 1/8 x) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(+ 1 (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))) |
(+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))) |
(* (pow x 2) (+ 1/8 (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(+ 1/8 (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) |
(* -11/64 (* x (sqrt 1/2))) |
2 |
(+ 2 (* -1/8 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(/ x (sqrt 2)) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))) |
(+ 1 (sqrt 1/2)) |
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))) |
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/8 (/ 1 (pow x 2))))) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 2) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/8 (/ 1 (pow x 2))))) |
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | 0 | ((- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (+ (* (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* x x)) 0) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* (* -11/64 (sqrt 1/2)) x) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (* -11/64 (sqrt 1/2)) (/ x (sqrt 2))) |
| 7.0ms | x | @ | inf | ((- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (+ (* (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* x x)) 0) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* (* -11/64 (sqrt 1/2)) x) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (* -11/64 (sqrt 1/2)) (/ x (sqrt 2))) |
| 5.0ms | x | @ | -inf | ((- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (+ (* (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* x x)) 0) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (* (* -11/64 (sqrt 1/2)) x) (/ x (sqrt 2))) 1/8) (* (* -11/64 (sqrt 1/2)) x) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (* -11/64 (sqrt 1/2)) (/ x (sqrt 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 546 | 3309 |
| 1 | 1844 | 2993 |
| 2 | 7280 | 2891 |
| 0 | 8560 | 2755 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(* 1/8 x) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) |
(+ 1 (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))) |
(+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))) |
(* (pow x 2) (+ 1/8 (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(+ 1/8 (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) |
(* -11/64 (* x (sqrt 1/2))) |
2 |
(+ 2 (* -1/8 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(/ x (sqrt 2)) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))) |
(+ 1 (sqrt 1/2)) |
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))) |
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/8 (/ 1 (pow x 2))))) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) |
(* (pow x 2) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/8 (/ 1 (pow x 2))))) |
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))) |
| Outputs |
|---|
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 x x)) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -35/256 binary64) (*.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
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(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
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(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
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(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -3/32 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 x))) x)) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64))) (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))) |
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 257 |
| 0 | 78 | 239 |
| 1 | 294 | 219 |
| 2 | 2153 | 219 |
| 0 | 8521 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) |
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64)) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64)) |
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 30 066 to 2 580 computations (91.4% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 625 | 10 | 635 |
| Fresh | 5 | 4 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 634 | 17 | 651 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.1% | (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
| 76.0% | (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| 50.8% | (/.f64 #s(approx (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -35/256 binary64) (*.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| ✓ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 48.3% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) | |
| ▶ | 49.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
| ✓ | 49.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
| 28.2% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 26.7% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 28.0% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 26.3% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
| 50.5% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 50.8% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
| 52.1% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| ▶ | 51.5% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ▶ | 50.4% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
| 50.3% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
Compiled 932 to 594 computations (36.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 355 |
| 0 | 80 | 351 |
| 1 | 125 | 351 |
| 2 | 283 | 351 |
| 3 | 791 | 351 |
| 4 | 2142 | 351 |
| 5 | 3776 | 351 |
| 6 | 6962 | 351 |
| 0 | 8978 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
x |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(literal 1/2 binary64) |
#s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) |
#s(literal -1843/32768 binary64) |
(*.f64 x x) |
x |
#s(literal 69/1024 binary64) |
#s(literal 11/128 binary64) |
#s(literal 1/8 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(hypot.f64 #s(literal 1 binary64) x) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
x |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
x |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(literal 1/2 binary64) |
#s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) |
#s(literal -1843/32768 binary64) |
(*.f64 x x) |
x |
#s(literal 69/1024 binary64) |
#s(literal 11/128 binary64) |
#s(literal 1/8 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) | |
| accuracy | 31.45787105246703 | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 0.00390625 | (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) | |
| accuracy | 15.876741235108653 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) | |
| accuracy | 31.008398854169975 | #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.08431625976844202 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) | |
| accuracy | 31.770114770141983 | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) | |
| accuracy | 31.068385444130264 | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) | |
| accuracy | 0.0234375 | (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.02734375 | (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| accuracy | 0.3128438348670065 | (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 15.343126531654283 | (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 101.0ms | 85× | 2 | valid |
| 58.0ms | 130× | 0 | valid |
| 24.0ms | 41× | 1 | valid |
Compiled 402 to 39 computations (90.3% saved)
ival-mult: 46.0ms (33.1% of total)adjust: 23.0ms (16.6% of total)ival-div: 17.0ms (12.2% of total)ival-sqrt: 16.0ms (11.5% of total)ival-sub: 14.0ms (10.1% of total)ival-hypot: 11.0ms (7.9% of total)ival-add: 10.0ms (7.2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) |
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
| Outputs |
|---|
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))) |
1/4 |
(+ 1/4 (* -1/4 (pow x 2))) |
(+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))) |
(pow x 2) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) |
(+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))) |
-11/128 |
(- (* 69/1024 (pow x 2)) 11/128) |
(- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128) |
(* 69/1024 (pow x 2)) |
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) |
69/1024 |
(+ 69/1024 (* -1843/32768 (pow x 2))) |
(* 69/1024 x) |
(* x (+ 69/1024 (* -1843/32768 (pow x 2)))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))) |
(- (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))))))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
(- 1/4 (* 1/4 (/ 1 (pow x 2)))) |
(- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) |
(/ 1/4 (pow x 2)) |
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2)) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(* -1843/32768 (pow x 8)) |
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 6)) |
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 4)) |
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 2)) |
(* (pow x 2) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* -1843/32768 (pow x 3)) |
(* (pow x 3) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (+ 1 (sqrt 1/2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (* (pow x 3) (- 1843/32768 (* 69/1024 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/4 (/ 1/4 (+ (* x x) 1))) (/ 1/4 (+ (* x x) 1)) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) (+ (* -1843/32768 (* x x)) 69/1024) (* (+ (* -1843/32768 (* x x)) 69/1024) x)) |
| 5.0ms | x | @ | inf | ((/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/4 (/ 1/4 (+ (* x x) 1))) (/ 1/4 (+ (* x x) 1)) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) (+ (* -1843/32768 (* x x)) 69/1024) (* (+ (* -1843/32768 (* x x)) 69/1024) x)) |
| 2.0ms | x | @ | 0 | ((/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/4 (/ 1/4 (+ (* x x) 1))) (/ 1/4 (+ (* x x) 1)) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (* (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (* x x)) 1/8) (- (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) 11/128) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (* (* (+ (* -1843/32768 (* x x)) 69/1024) x) x) (+ (* -1843/32768 (* x x)) 69/1024) (* (+ (* -1843/32768 (* x x)) 69/1024) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 2656 |
| 1 | 1273 | 2476 |
| 2 | 4779 | 2389 |
| 0 | 9123 | 2326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))) |
1/4 |
(+ 1/4 (* -1/4 (pow x 2))) |
(+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))) |
(pow x 2) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
-1/2 |
(- (* 1/4 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) |
(+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))) |
-11/128 |
(- (* 69/1024 (pow x 2)) 11/128) |
(- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128) |
(* 69/1024 (pow x 2)) |
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) |
69/1024 |
(+ 69/1024 (* -1843/32768 (pow x 2))) |
(* 69/1024 x) |
(* x (+ 69/1024 (* -1843/32768 (pow x 2)))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))) |
(- (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))))))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
(- 1/4 (* 1/4 (/ 1 (pow x 2)))) |
(- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) |
(/ 1/4 (pow x 2)) |
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2)) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(/ -1/2 x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x) |
(* -1843/32768 (pow x 8)) |
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 6)) |
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 4)) |
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4))))) |
(* -1843/32768 (pow x 2)) |
(* (pow x 2) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(* -1843/32768 (pow x 3)) |
(* (pow x 3) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768)) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (+ 1 (sqrt 1/2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(* -1 (* (pow x 3) (- 1843/32768 (* 69/1024 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 x x)) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -35/256 binary64) (*.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) |
(pow x 2) |
(*.f64 x x) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/32 binary64) (*.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/4 (pow x 2)) 1/2) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/32 binary64) (*.f64 x x)) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)) |
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) |
(fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) |
-11/128 |
#s(literal -11/128 binary64) |
(- (* 69/1024 (pow x 2)) 11/128) |
(-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) |
(- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128) |
(fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) |
(* 69/1024 (pow x 2)) |
(*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) |
69/1024 |
#s(literal 69/1024 binary64) |
(+ 69/1024 (* -1843/32768 (pow x 2))) |
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) |
(* 69/1024 x) |
(*.f64 #s(literal 69/1024 binary64) x) |
(* x (+ 69/1024 (* -1843/32768 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))) |
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(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x)) |
(* -1 (* (pow x 3) (- 1843/32768 (* 69/1024 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -69/1024 binary64) (*.f64 x x)) #s(literal -1843/32768 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 295 |
| 0 | 80 | 291 |
| 1 | 293 | 274 |
| 2 | 2067 | 249 |
| 0 | 8428 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) |
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) |
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))) |
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(+.f64 (/.f64 (*.f64 #s(literal -6260024107/35184372088832 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64))))) (/.f64 #s(literal 328509/1073741824 binary64) (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64)))))) |
(+.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) #s(literal 69/1024 binary64)) |
(+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) |
(*.f64 x (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4761/1048576 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) #s(literal 69/1024 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -6260024107/35184372088832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 328509/1073741824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4761/1048576 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) #s(literal 69/1024 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -6260024107/35184372088832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 328509/1073741824 binary64)))) (neg.f64 (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4761/1048576 binary64)) x) (-.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) #s(literal 69/1024 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -6260024107/35184372088832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 328509/1073741824 binary64)) x) (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4761/1048576 binary64))) (-.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) #s(literal 69/1024 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -6260024107/35184372088832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 328509/1073741824 binary64))) (fma.f64 #s(literal 3396649/1073741824 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x x) #s(literal -127167/33554432 binary64))))) |
(fma.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) x (*.f64 #s(literal 69/1024 binary64) x)) |
(fma.f64 #s(literal 69/1024 binary64) x (*.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) (*.f64 x #s(literal 69/1024 binary64))) |
(fma.f64 x #s(literal 69/1024 binary64) (*.f64 x (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) x) (*.f64 #s(literal 69/1024 binary64) x)) |
(+.f64 (*.f64 #s(literal 69/1024 binary64) x) (*.f64 (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x))) (*.f64 x #s(literal 69/1024 binary64))) |
(+.f64 (*.f64 x #s(literal 69/1024 binary64)) (*.f64 x (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) |
Compiled 32 862 to 2 952 computations (91% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 4 | 678 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 678 | 17 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| 76.0% | (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) | |
| 76.1% | (/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) | |
| ✓ | 75.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 48.3% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) | |
| ✓ | 49.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
| ✓ | 49.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
| 28.2% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 26.7% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 28.0% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 26.3% | (-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
| 50.5% | #s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 52.1% | #s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| ✓ | 50.8% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
| 50.8% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) | |
| ✓ | 51.5% | #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | 50.4% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
| 50.3% | #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
Compiled 1 891 to 594 computations (68.6% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -35/256 binary64) (*.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
7 calls:
| 16.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 13.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 12.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 11.0ms | x |
| 9.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 100.0% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 100.0% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 100.0% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 100.0% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -35/256 binary64) (*.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
7 calls:
| 32.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 12.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 9.0ms | x |
| 9.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 99.2% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 99.2% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 99.2% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 99.2% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 99.2% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 99.2% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)))))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 0 binary64))) |
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))) |
7 calls:
| 15.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 12.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 8.0ms | x |
| 8.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 98.7% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.7% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.7% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.7% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.7% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
7 calls:
| 11.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 5.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 98.7% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.7% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.7% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.7% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.7% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
7 calls:
| 11.0ms | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 5.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 5.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 98.6% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.6% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.6% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.6% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.6% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.6% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
7 calls:
| 11.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 6.0ms | x |
| 5.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 5.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 98.5% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.5% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.5% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.5% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.5% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.5% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- 1/4 (/ 1/4 (+ (* x x) 1))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
7 calls:
| 11.0ms | x |
| 10.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 4.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 4.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 98.1% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.1% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.1% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.1% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.1% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.1% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))) |
7 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 97.4% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 97.4% | 2 | x |
| 97.4% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 97.4% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 97.4% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 97.4% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
7 calls:
| 9.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 97.4% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 97.4% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 97.4% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 97.4% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 97.4% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 97.4% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) |
7 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 96.8% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 96.8% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 96.8% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 96.8% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 96.8% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 96.8% | 2 | x |
Compiled 47 to 37 computations (21.3% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
7 calls:
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | (hypot.f64 #s(literal 1 binary64) x) |
| 51.5% | 1 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 51.5% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 51.5% | 1 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 51.5% | 1 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 51.5% | 1 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 51.5% | 1 | x |
Compiled 47 to 37 computations (21.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
7 calls:
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 1.0ms | x |
| 1.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | (hypot.f64 #s(literal 1 binary64) x) |
| 26.3% | 1 | x |
| 26.3% | 1 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 26.3% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 26.3% | 1 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 26.3% | 1 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 26.3% | 1 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
Compiled 47 to 37 computations (21.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.007534438096210997 | 0.6515074084034953 |
| 8.0ms | 112× | 0 | valid |
Compiled 510 to 286 computations (43.9% saved)
ival-hypot: 2.0ms (35.3% of total)ival-div: 1.0ms (17.7% of total)ival-add: 1.0ms (17.7% of total)ival-mult: 1.0ms (17.7% of total)ival-sub: 1.0ms (17.7% of total)ival-sqrt: 1.0ms (17.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.007534438096210997 | 0.6515074084034953 |
| 5.0ms | 48× | 0 | valid |
Compiled 454 to 272 computations (40.1% saved)
ival-div: 2.0ms (46.1% of total)ival-hypot: 1.0ms (23% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.6515074084034953 | 4.1085543334310435 |
| 7.0ms | 96× | 0 | valid |
Compiled 482 to 295 computations (38.8% saved)
ival-hypot: 2.0ms (40.7% of total)ival-div: 1.0ms (20.4% of total)ival-mult: 1.0ms (20.4% of total)ival-sqrt: 1.0ms (20.4% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.6515074084034953 | 4.1085543334310435 |
| 1.0ms | 16× | 0 | valid |
Compiled 554 to 301 computations (45.7% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-hypot: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.6515074084034953 | 4.1085543334310435 |
Compiled 554 to 307 computations (44.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.6515074084034953 | 4.1085543334310435 |
| 2.0ms | 32× | 0 | valid |
Compiled 434 to 277 computations (36.2% saved)
ival-hypot: 1.0ms (63.4% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7862857109638774 | 0.9586099377649538 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7862857109638774 | 0.9586099377649538 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.6515074084034953 | 4.1085543334310435 |
Compiled 290 to 229 computations (21% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.6515074084034953 | 4.1085543334310435 |
| 3.0ms | 48× | 0 | valid |
Compiled 260 to 211 computations (18.8% saved)
ival-hypot: 1.0ms (42.7% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 687 |
| 1 | 143 | 681 |
| 2 | 209 | 681 |
| 3 | 270 | 681 |
| 4 | 328 | 681 |
| 5 | 376 | 681 |
| 6 | 499 | 681 |
| 7 | 747 | 681 |
| 8 | 1010 | 681 |
| 9 | 1140 | 681 |
| 10 | 1374 | 681 |
| 11 | 1826 | 681 |
| 12 | 2082 | 681 |
| 13 | 2170 | 681 |
| 14 | 2170 | 681 |
| 15 | 2170 | 681 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))) |
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1839 |
| 1 | 1398 | 1722 |
| 2 | 4582 | 1680 |
| 0 | 8361 | 1612 |
| 0 | 546 | 3309 |
| 1 | 1844 | 2993 |
| 2 | 7280 | 2891 |
| 0 | 8560 | 2755 |
| 0 | 49 | 295 |
| 0 | 80 | 291 |
| 1 | 293 | 274 |
| 2 | 2067 | 249 |
| 0 | 8428 | 249 |
| 0 | 49 | 257 |
| 0 | 78 | 239 |
| 1 | 294 | 219 |
| 2 | 2153 | 219 |
| 0 | 8521 | 214 |
| 0 | 55 | 415 |
| 0 | 94 | 356 |
| 1 | 373 | 346 |
| 2 | 3037 | 342 |
| 0 | 8312 | 328 |
| 0 | 9 | 43 |
| 0 | 18 | 33 |
| 1 | 82 | 33 |
| 2 | 609 | 33 |
| 3 | 6358 | 33 |
| 0 | 8243 | 30 |
| 0 | 206 | 845 |
| 1 | 633 | 767 |
| 2 | 1960 | 714 |
| 3 | 7820 | 714 |
| 0 | 8462 | 676 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 745 to 105 computations (85.9% saved)
Compiled 1 662 to 306 computations (81.6% saved)
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