2isqrt (example 3.6)
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 1.2s | 6 871× | 1 | valid |
| 244.0ms | 1 108× | 2 | valid |
| 21.0ms | 277× | 0 | valid |
ival-sqrt: 295.0ms (24.4% of total)ival-div: 268.0ms (22.2% of total)adjust: 173.0ms (14.3% of total)const: 162.0ms (13.4% of total)ival-add: 154.0ms (12.8% of total)ival-sub: 81.0ms (6.7% of total)ival->: 33.0ms (2.7% of total)ival-<: 18.0ms (1.5% of total)ival-and: 12.0ms (1% of total)exact: 7.0ms (0.6% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 180 | 76 | (3.1153090975328313e+221) | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 180 | 0 |
| - | 76 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 180 | 0 | 0 |
| - | 76 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 428× | 1 | valid |
| 21.0ms | 64× | 2 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 143 to 59 computations (58.7% saved)
ival-div: 22.0ms (30.2% of total)ival-add: 20.0ms (27.5% of total)ival-sqrt: 15.0ms (20.6% of total)adjust: 10.0ms (13.7% of total)ival-sub: 5.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 20 | 25 |
| 2 | 47 | 24 |
| 3 | 89 | 24 |
| 4 | 144 | 24 |
| 5 | 209 | 24 |
| 6 | 245 | 24 |
| 7 | 272 | 24 |
| 8 | 281 | 24 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 36 | 11 |
| 4 | 48 | 11 |
| 5 | 68 | 11 |
| 6 | 107 | 11 |
| 7 | 139 | 11 |
| 8 | 195 | 11 |
| 9 | 224 | 11 |
| 10 | 245 | 11 |
| 11 | 247 | 11 |
| 0 | 247 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 14 | 32 |
| 1 | 19 | 32 |
| 2 | 27 | 32 |
| 3 | 36 | 32 |
| 4 | 48 | 32 |
| 5 | 68 | 32 |
| 6 | 107 | 32 |
| 7 | 139 | 32 |
| 8 | 195 | 32 |
| 9 | 224 | 32 |
| 10 | 245 | 32 |
| 11 | 247 | 32 |
| 0 | 247 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 39.45731205305142 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 27.0ms | 214× | 1 | valid |
| 6.0ms | 32× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-sqrt: 8.0ms (33.3% of total)ival-div: 7.0ms (29.1% of total)adjust: 5.0ms (20.8% of total)ival-add: 2.0ms (8.3% of total)ival-sub: 2.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 457 |
| 1 | 303 | 408 |
| 2 | 926 | 383 |
| 3 | 3322 | 373 |
| 0 | 8129 | 344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 66 | 19 |
| 2 | 565 | 19 |
| 3 | 6719 | 19 |
| 0 | 8113 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (hypot.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (pow.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -9 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) |
Compiled 6 089 to 737 computations (87.9% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 9 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 253 | 10 | 263 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 40.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| 40.5% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 40.5% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| ▶ | 38.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 83.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) | |
| ▶ | 83.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
| ▶ | 67.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
| ▶ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 393 to 254 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (hypot.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) | |
| cost-diff | 640 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 1536 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 253 |
| 0 | 61 | 249 |
| 1 | 101 | 246 |
| 2 | 210 | 240 |
| 3 | 477 | 237 |
| 4 | 941 | 237 |
| 5 | 1899 | 237 |
| 6 | 4794 | 237 |
| 7 | 7963 | 237 |
| 0 | 8006 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(hypot.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.1640625 | (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| accuracy | 0.6360423847729496 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 58.36586052175218 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.00390625 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.564728089692004 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.574510401747625 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| accuracy | 18.476350916683927 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.25 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) | |
| accuracy | 0.29525375976844204 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 0.6360423847729496 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| accuracy | 59.369751960362855 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.337847346767056 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.125 | (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| accuracy | 8.913350648645867 | (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
| 99.0ms | 214× | 1 | valid |
| 24.0ms | 32× | 2 | valid |
| 2.0ms | 10× | 0 | valid |
Compiled 498 to 69 computations (86.1% saved)
ival-div: 24.0ms (27.9% of total)adjust: 14.0ms (16.3% of total)ival-hypot: 12.0ms (13.9% of total)ival-sqrt: 11.0ms (12.8% of total)ival-sub: 8.0ms (9.3% of total)ival-mult: 8.0ms (9.3% of total)ival-add: 5.0ms (5.8% of total)ival-pow: 3.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 x) x) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 x) |
(/ 1 x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(+ 1 x) |
(* (sqrt x) (+ 1 (sqrt x))) |
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x)))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ (pow (sqrt -1) 2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ -1/2 x) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ (/ -1/2 x) x) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (- (+ x 1) x) (+ x 1) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ x 1) x) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1)))) |
| 7.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ -1/2 x) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ (/ -1/2 x) x) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (- (+ x 1) x) (+ x 1) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ x 1) x) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1)))) |
| 5.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ -1/2 x) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ (/ -1/2 x) x) (/ -1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (- (+ x 1) x) (+ x 1) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (+ x 1) x) (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1))))) (+ (sqrt x) (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 2953 |
| 1 | 1815 | 2522 |
| 2 | 6125 | 2501 |
| 0 | 8111 | 2348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 x) |
(/ 1 x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(+ 1 x) |
(* (sqrt x) (+ 1 (sqrt x))) |
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x)))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ (pow (sqrt -1) 2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
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(/ 1/2 x) |
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x |
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(*.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 210 |
| 0 | 61 | 201 |
| 1 | 254 | 166 |
| 2 | 2092 | 166 |
| 0 | 8283 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 x) x) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(pow.f64 (/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (neg.f64 x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (*.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (*.f64 (*.f64 x x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (*.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
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(hypot.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) |
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(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
Compiled 34 883 to 4 820 computations (86.2% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 268 | 17 | 1 285 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 274 | 21 | 1 295 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 39.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 35.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) | |
| 40.5% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 40.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))) | |
| 38.2% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) | |
| ▶ | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
| 96.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 40.5% | (*.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) | |
| 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) | |
| ▶ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 97.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 83.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
| 96.9% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| 83.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) | |
| ✓ | 83.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
| ▶ | 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
| ▶ | 82.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 908 to 592 computations (34.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| cost-diff | 640 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 1984 | (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| cost-diff | 128 | (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) | |
| cost-diff | 640 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 379 |
| 0 | 74 | 361 |
| 1 | 121 | 354 |
| 2 | 240 | 352 |
| 3 | 560 | 352 |
| 4 | 1261 | 340 |
| 5 | 3539 | 340 |
| 6 | 6257 | 337 |
| 0 | 8056 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
#s(literal 1/16 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
#s(literal -1/2 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) |
(-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
#s(literal 1/16 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
#s(literal -1/2 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) | |
| accuracy | 0.28515625 | (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| accuracy | 8.913350648645867 | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| accuracy | 0.015625 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| accuracy | 10.030145960348946 | (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) | |
| accuracy | 0.1875 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) | |
| accuracy | 0.274101269536884 | (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) | |
| accuracy | 0.41796875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.337847346767056 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.2148838892192623 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) | |
| accuracy | 0.25 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) | |
| accuracy | 0.6360423847729496 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) | |
| accuracy | 0.8797295432919818 | (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
| 177.0ms | 214× | 1 | valid |
| 22.0ms | 32× | 2 | valid |
| 2.0ms | 10× | 0 | valid |
Compiled 668 to 84 computations (87.4% saved)
ival-div: 40.0ms (27.2% of total)ival-sqrt: 38.0ms (25.8% of total)ival-mult: 37.0ms (25.1% of total)adjust: 14.0ms (9.5% of total)ival-sub: 10.0ms (6.8% of total)ival-add: 7.0ms (4.8% 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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(/ -1/2 x) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(* -1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1/2 (* x (pow (sqrt -1) 2))) |
(/ 1/2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt (/ 1 (pow x 3))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (/ (- 1 x) (sqrt x)) (- (sqrt (/ 1 x)) (sqrt x)) (* -1/2 (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ (/ -1/2 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (/ 1/16 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (* (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (sqrt x))) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (/ (- 1 x) (sqrt x)) (- (sqrt (/ 1 x)) (sqrt x)) (* -1/2 (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ (/ -1/2 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (/ 1/16 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (* (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (sqrt x))) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (/ (- 1 x) (sqrt x)) (- (sqrt (/ 1 x)) (sqrt x)) (* -1/2 (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ (/ -1/2 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (/ 1/16 (* x x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (* (/ (/ (/ -1/2 (sqrt x)) (sqrt x)) x) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 1878 |
| 1 | 1166 | 1602 |
| 2 | 3783 | 1559 |
| 0 | 8127 | 1481 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(/ -1/2 x) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(* -1/2 (sqrt (/ 1 x))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1/2 (* x (pow (sqrt -1) 2))) |
(/ 1/2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt (/ 1 (pow x 3))))) x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
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(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x))) x)) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ 1/2 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64))) x) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64))) x) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 297 |
| 0 | 74 | 280 |
| 1 | 300 | 249 |
| 2 | 2628 | 228 |
| 0 | 8853 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (pow.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) |
(*.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) |
(*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) |
Compiled 29 850 to 3 852 computations (87.1% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 945 | 13 | 958 |
| Fresh | 4 | 9 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 954 | 25 | 979 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
| 40.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 39.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 35.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) | |
| 40.5% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 99.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 40.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))) | |
| ▶ | 38.2% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
| 96.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) | |
| 97.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| ▶ | 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
| ▶ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 96.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) | |
| 97.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| 96.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) | |
| 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)))) | |
| ▶ | 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
| 81.9% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) | |
| 36.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 077 to 728 computations (32.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) | |
| cost-diff | 320 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 6848 | (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 348 |
| 0 | 78 | 348 |
| 1 | 117 | 345 |
| 2 | 186 | 341 |
| 3 | 322 | 341 |
| 4 | 604 | 341 |
| 5 | 1285 | 335 |
| 6 | 3530 | 335 |
| 7 | 6863 | 335 |
| 0 | 8048 | 335 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) x) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) x) (sqrt.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.25 | (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) | |
| accuracy | 0.6360423847729496 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) | |
| accuracy | 58.40791840833152 | (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) | |
| accuracy | 0.30078125 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.41796875 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.274101269536884 | (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 1.4819809167445805 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) | |
| accuracy | 1.600700665005225 | #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1953125 | (/.f64 (sqrt.f64 x) x) | |
| accuracy | 60.337847346767056 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.015625 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) | |
| accuracy | 0.15234375 | (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) | |
| accuracy | 0.16015625 | (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) | |
| accuracy | 0.2148838892192623 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) |
| 90.0ms | 97× | 2 | valid |
| 89.0ms | 149× | 1 | valid |
| 3.0ms | 10× | 0 | valid |
Compiled 613 to 91 computations (85.2% saved)
ival-div: 41.0ms (28.4% of total)ival-pow: 39.0ms (27% of total)adjust: 27.0ms (18.7% of total)ival-sqrt: 14.0ms (9.7% of total)ival-sub: 10.0ms (6.9% of total)ival-mult: 7.0ms (4.8% of total)ival-add: 4.0ms (2.8% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt (pow x 3)) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 x) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)) |
(* -1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 x))))) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x))))) (/ 1 x)))))) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -1 (+ (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/16 (sqrt (/ 1 x))))) (* 1/8 (/ 1 x)))))))) (/ 1 x)))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/16 (pow x 3)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) x) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* 2 x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (+ (* -5/32 (sqrt (pow x 5))) (+ (* 1/16 (sqrt (pow x 5))) (* 1/4 (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))))))) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
(+ 1 (* 1/2 (/ 1 x))) |
(- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))) |
(- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))))) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))))) (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (+ (* -1/4 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))) (pow (sqrt -1) 2))) (+ (* -5/32 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (/ 1 (pow x 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (* -1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(- (pow (sqrt -1) 2) 1) |
(- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))) |
(- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(- (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(pow (sqrt -1) 2) |
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))) |
(+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((/ (pow (+ x 1) -1/2) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1)) (pow (+ x 1) -1/2) (+ x 1) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) x) (/ (- 1 x) (sqrt x)) (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1))) (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ 1/2 (/ (- (/ 1/16 x) 1/8) x)) x) (sqrt (/ 1 x)) (- (sqrt (/ (+ x 1) x)) 1) (sqrt (/ (+ x 1) x))) |
| 4.0ms | x | @ | 0 | ((/ (pow (+ x 1) -1/2) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1)) (pow (+ x 1) -1/2) (+ x 1) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) x) (/ (- 1 x) (sqrt x)) (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1))) (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ 1/2 (/ (- (/ 1/16 x) 1/8) x)) x) (sqrt (/ 1 x)) (- (sqrt (/ (+ x 1) x)) 1) (sqrt (/ (+ x 1) x))) |
| 4.0ms | x | @ | inf | ((/ (pow (+ x 1) -1/2) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1)) (pow (+ x 1) -1/2) (+ x 1) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) -1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x)) (/ -1/2 x) (/ (/ (- 1 x) (sqrt x)) x) (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) x) (/ (- 1 x) (sqrt x)) (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1))) (/ (sqrt (+ x 1)) (- (sqrt (/ (+ x 1) x)) 1)) (sqrt (+ x 1)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ 1/2 (/ (- (/ 1/16 x) 1/8) x)) x) (sqrt (/ 1 x)) (- (sqrt (/ (+ x 1) x)) 1) (sqrt (/ (+ x 1) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 670 | 3181 |
| 1 | 2010 | 2489 |
| 2 | 7193 | 2487 |
| 0 | 8074 | 2335 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt (pow x 3)) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 x) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)) |
(* -1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 x))))) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x))))) (/ 1 x)))))) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -1 (+ (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/16 (sqrt (/ 1 x))))) (* 1/8 (/ 1 x)))))))) (/ 1 x)))))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/16 (pow x 3)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) x) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* 2 x) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (+ (* -5/32 (sqrt (pow x 5))) (+ (* 1/16 (sqrt (pow x 5))) (* 1/4 (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/4 (sqrt (pow x 3)))))))))) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt (/ 1 x))) |
(+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
(+ 1 (* 1/2 (/ 1 x))) |
(- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))) |
(- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))))) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (/ (pow (sqrt -1) 2) x)) (+ (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))))) (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (+ (* -1/4 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))) (pow (sqrt -1) 2))) (+ (* -5/32 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 3))))))))) (* 1/2 (/ 1 (pow x 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (* -1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(- (pow (sqrt -1) 2) 1) |
(- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))) |
(- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(- (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(pow (sqrt -1) 2) |
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))) |
(+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt (pow x 3)) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 x)) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))) x)) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (/ 1 x))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x))))) (/ 1 x)))))) |
(*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (* x (+ (* 1/2 (sqrt (/ 1 x))) (+ (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -1 (+ (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/16 (sqrt (/ 1 x))))) (* 1/8 (/ 1 x)))))))) (/ 1 x)))))) |
(*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ 1/16 (pow x 3)) |
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (sqrt.f64 x)) x) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
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(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 x))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 1))) (* -1/8 (sqrt (/ 1 x))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x)) x)) (neg.f64 x))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) x)) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (* -1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (+ (* 1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 x)))) x)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x))) (neg.f64 x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) |
(- (pow (sqrt -1) 2) 1) |
#s(literal -2 binary64) |
(- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal -2 binary64)) |
(- (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1) |
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal -2 binary64)) |
(pow (sqrt -1) 2) |
#s(literal -1 binary64) |
(- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x)) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 284 |
| 0 | 78 | 284 |
| 1 | 311 | 250 |
| 2 | 2450 | 246 |
| 0 | 8802 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))) |
(*.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))) |
(*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
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(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) |
(/.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
(/.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) (expm1.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 x))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (pow.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64))) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) |
(+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) |
Compiled 26 257 to 3 688 computations (86% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 956 | 8 | 964 |
| Fresh | 3 | 14 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 963 | 26 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| 37.9% | (/.f64 (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) | |
| 99.3% | (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) | |
| 40.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 39.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 35.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) | |
| 40.5% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 99.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 40.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))) | |
| 96.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 82.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) | |
| 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) | |
| 97.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) x)) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 97.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) | |
| 96.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) | |
| 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 96.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) | |
| 97.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) | |
| 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) | |
| 81.9% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) | |
| 36.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 733 to 627 computations (63.8% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) |
| Outputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
2 calls:
| 13.0ms | x |
| 10.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 12.0ms | x |
| 9.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
2 calls:
| 9.0ms | x |
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
2 calls:
| 30.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 81.9% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+ (sqrt x) (sqrt (+ x 1)))) (+.f64 (sqrt.f64 x) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 x (sqrt.f64 x)) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.3% | 1 | x |
| 36.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 88.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.7% | 1 | x |
| 5.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.88214269644119e-22 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 277 |
| 1 | 101 | 277 |
| 2 | 117 | 277 |
| 3 | 128 | 277 |
| 4 | 137 | 277 |
| 5 | 138 | 277 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))) (+.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ (- 1 x) (sqrt x)) (/ -1/2 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (/ (- 1 x) (sqrt x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(approx (- (sqrt (/ 1 x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 2953 |
| 1 | 1815 | 2522 |
| 2 | 6125 | 2501 |
| 0 | 8111 | 2348 |
| 0 | 36 | 210 |
| 0 | 61 | 201 |
| 1 | 254 | 166 |
| 2 | 2092 | 166 |
| 0 | 8283 | 166 |
| 0 | 114 | 457 |
| 1 | 303 | 408 |
| 2 | 926 | 383 |
| 3 | 3322 | 373 |
| 0 | 8129 | 344 |
| 0 | 49 | 284 |
| 0 | 78 | 284 |
| 1 | 311 | 250 |
| 2 | 2450 | 246 |
| 0 | 8802 | 246 |
| 0 | 401 | 1878 |
| 1 | 1166 | 1602 |
| 2 | 3783 | 1559 |
| 0 | 8127 | 1481 |
| 0 | 670 | 3181 |
| 1 | 2010 | 2489 |
| 2 | 7193 | 2487 |
| 0 | 8074 | 2335 |
| 0 | 45 | 297 |
| 0 | 74 | 280 |
| 1 | 300 | 249 |
| 2 | 2628 | 228 |
| 0 | 8853 | 228 |
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 66 | 19 |
| 2 | 565 | 19 |
| 3 | 6719 | 19 |
| 0 | 8113 | 19 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 779 to 413 computations (47% saved)
Compiled 594 to 190 computations (68% saved)
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