
Time bar (total: 7.0s)
| 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)
| 1.1s | 6 932× | 1 | valid |
| 248.0ms | 1 075× | 2 | valid |
| 19.0ms | 249× | 0 | valid |
ival-sqrt: 327.0ms (29.1% of total)ival-div: 254.0ms (22.6% of total)adjust: 167.0ms (14.9% of total)const: 136.0ms (12.1% of total)ival-add: 80.0ms (7.1% of total)ival-sub: 76.0ms (6.8% of total)ival-<: 33.0ms (2.9% of total)ival->: 28.0ms (2.5% of total)ival-and: 12.0ms (1.1% of total)exact: 8.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 177 | 1 | (1.6165505377183669e+215) | 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 | 178 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 177 | 0 |
| - | 1 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 177 | 0 | 0 |
| - | 1 | 0 | 78 |
| number | freq |
|---|---|
| 0 | 78 |
| 1 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 452× | 1 | valid |
| 15.0ms | 50× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 111 to 36 computations (67.6% saved)
ival-sqrt: 24.0ms (37.6% of total)ival-div: 19.0ms (29.8% of total)adjust: 10.0ms (15.7% of total)ival-add: 5.0ms (7.8% of total)ival-sub: 5.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 20 | 25 |
| 2 | 50 | 24 |
| 3 | 105 | 24 |
| 4 | 191 | 24 |
| 5 | 249 | 24 |
| 6 | 302 | 24 |
| 7 | 320 | 24 |
| 8 | 330 | 24 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 39 | 11 |
| 4 | 58 | 11 |
| 5 | 100 | 11 |
| 6 | 164 | 11 |
| 7 | 209 | 11 |
| 8 | 225 | 11 |
| 9 | 235 | 11 |
| 10 | 239 | 11 |
| 0 | 239 | 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 |
|---|---|---|
| ▶ | 38.1% | (-.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 | 39 | 32 |
| 4 | 58 | 32 |
| 5 | 100 | 32 |
| 6 | 164 | 32 |
| 7 | 209 | 32 |
| 8 | 225 | 32 |
| 9 | 235 | 32 |
| 10 | 239 | 32 |
| 0 | 239 | 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 | 0.27734375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.28515625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 39.63410232991117 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 29.0ms | 226× | 1 | valid |
| 5.0ms | 25× | 2 | valid |
| 0.0ms | 5× | 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 | 463 |
| 0 | 349 | 430 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 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 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x 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 (*.f64 (*.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))))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 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 (*.f64 (*.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))))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.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))))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (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)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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) 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))))))) |
(+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))) |
(-.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))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
(-.f64 (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))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ (- (* -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)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))) |
(+ (* -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 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 5 binary64)))) #s(literal 1/2 binary64)))) |
(+ (* -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)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 67 | 19 |
| 2 | 582 | 19 |
| 3 | 7065 | 17 |
| 0 | 8091 | 17 |
| 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)) (sinh.f64 (acosh.f64 x))) (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)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (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 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(*.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 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (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 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (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)) (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.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 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (pow.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #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 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #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 (cos.f64 (atan.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #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 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 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 -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.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 (cos.f64 (atan.f64 (sqrt.f64 x))) (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 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #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 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (+.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))))) |
(/.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 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.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 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)) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))) (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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (neg.f64 (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (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 (fma.f64 x x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))))) |
(/.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)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (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)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(fabs.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(fabs.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) |
(cos.f64 (atan.f64 (fabs.f64 (neg.f64 (sqrt.f64 x))))) |
(cos.f64 (atan.f64 (sqrt.f64 x))) |
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x)))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) |
Compiled 7 512 to 866 computations (88.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 7 | 319 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 312 | 8 | 320 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.1% | (/.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)) |
| 40.8% | (/.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))))) | |
| ▶ | 40.7% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| ▶ | 38.1% | (/.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)))) |
| ✓ | 38.1% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 81.2% | #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)) (sqrt.f64 x))) (*.f64 x x))) |
| 65.3% | #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))) | |
| ▶ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 285 to 184 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 768 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.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 (-.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 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 640 | (/.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)) | |
| cost-diff | 832 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 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 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.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 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 279 |
| 0 | 56 | 267 |
| 1 | 107 | 256 |
| 2 | 288 | 248 |
| 3 | 1139 | 245 |
| 4 | 6023 | 244 |
| 0 | 8312 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(literal -1/2 binary64) |
(-.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)))) (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 (/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(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)))) |
#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) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#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)) (sqrt.f64 x))) (*.f64 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 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 #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)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.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)))) (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 (/.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 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #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)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(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 #s(literal 1 binary64) (sqrt.f64 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))) |
(+.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)) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #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)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (+.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)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0.27734375 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| accuracy | 58.60804251561837 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.20703125 | (/.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 | 0.37109375 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 0.8149693145494327 | (/.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 | 59.87057632537532 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2421875 | (/.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)) | |
| accuracy | 0.37109375 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 59.87057632537532 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1640625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.4261340767461 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.015625 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.1640625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.9590932491183781 | #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)) (sqrt.f64 x))) (*.f64 x x))) | |
| accuracy | 11.09666302642106 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)) |
| 113.0ms | 226× | 1 | valid |
| 14.0ms | 25× | 2 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 541 to 66 computations (87.8% saved)
ival-div: 48.0ms (50.3% of total)adjust: 11.0ms (11.5% of total)ival-sqrt: 10.0ms (10.5% of total)ival-mult: 10.0ms (10.5% of total)ival-sub: 8.0ms (8.4% of total)ival-add: 4.0ms (4.2% of total)ival-neg: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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)) (sqrt.f64 x))) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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))) (/.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))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)) |
(sqrt.f64 x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
| 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 x))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ 1 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt 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) |
(- (+ 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)) |
1 |
(+ 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) |
(* (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 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* -1 (sqrt (/ 1 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) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt x) |
(* 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)) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 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 (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) |
(* 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 (* 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))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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 x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (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))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) 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)) |
(* -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 (* (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))))))) |
(/ -1/2 (* 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))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ 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) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (sqrt x) (/ -1 (sqrt x))) |
| 9.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ 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) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (sqrt x) (/ -1 (sqrt x))) |
| 7.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ 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) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (sqrt x) (/ -1 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 2747 |
| 0 | 2167 | 2594 |
| 1× | iter limit |
| 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 x))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/ 1 x) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt 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) |
(- (+ 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)) |
1 |
(+ 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) |
(* (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 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* -1 (sqrt (/ 1 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) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(sqrt x) |
(* 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)) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 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 (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) |
(* 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 (* 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))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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 x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (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))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) 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)) |
(* -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 (* (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))))))) |
(/ -1/2 (* 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))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 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)) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 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 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/2 (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) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3/8 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 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 (-.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 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 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) |
(/ (+ (* 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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) 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 (* 1/2 x)) (sqrt x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(-.f64 (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)) (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 (+ 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) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (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))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (+.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)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/4 binary64))) x (*.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)))) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) |
(* -1 (+ 1 (sqrt x))) |
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) x (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
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(* -2 x) |
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(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x))) 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)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)))) 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)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 5/128 binary64) (*.f64 (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) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x))) x)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 x x)) |
(* (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))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) x))) (*.f64 x x)) |
(* 2 (* x (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (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)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 215 |
| 0 | 56 | 204 |
| 1 | 241 | 165 |
| 2 | 2016 | 150 |
| 0 | 8177 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (sqrt.f64 x))) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (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))) (/.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))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x)) |
(sqrt.f64 x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) x))) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (/.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))) #s(literal -1/2 binary64)) (+.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 #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 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) x)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 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 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))))) |
(/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x))) |
(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)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 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 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(+.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 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 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.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 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (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 (/.f64 x (*.f64 x x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.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 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 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 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #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 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))) |
Compiled 46 346 to 5 802 computations (87.5% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 687 | 21 | 1 708 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 691 | 25 | 1 716 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| 40.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 38.0% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 38.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| 99.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 40.7% | (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
| 99.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| 98.0% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) | |
| ▶ | 99.4% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| 98.1% | (/.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 #s(literal 1/8 binary64) x)) x)))) | |
| ✓ | 38.1% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 81.2% | #s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.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))) | |
| 98.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))) | |
| 81.1% | #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))) | |
| 98.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x)) | |
| ✓ | 81.2% | #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)) (sqrt.f64 x))) (*.f64 x x))) |
| 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ▶ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ▶ | 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 98.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) | |
| 65.3% | #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))) | |
| 36.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 98.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (/.f64 (fma.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) x)))) x))) |
Compiled 1 084 to 732 computations (32.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| cost-diff | 320 | (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 768 | (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.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 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.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 | (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 768 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 308 |
| 0 | 70 | 295 |
| 1 | 133 | 295 |
| 2 | 380 | 274 |
| 3 | 1795 | 268 |
| 4 | 7818 | 268 |
| 0 | 8054 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt 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) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(neg.f64 (sqrt.f64 (+.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)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) 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 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(sqrt.f64 x) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt 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) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) (-.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)) |
(sqrt.f64 x) |
(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)) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (-.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)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x) x) (-.f64 #s(literal 1 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) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
(-.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 (+.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 |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(hypot.f64 (sqrt.f64 x) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x (fma.f64 (sqrt.f64 x) x (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
(-.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 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x (fma.f64 (sqrt.f64 x) x (sqrt.f64 x)))) |
(sqrt.f64 x) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.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)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| accuracy | 0.50390625 | (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| accuracy | 0.8149693145494327 | (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| accuracy | 58.60804251561837 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.20703125 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| accuracy | 30.007263136754567 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 59.87057632537532 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.49609375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| accuracy | 0.784414266481088 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 0.9590932491183781 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 10.224309954841504 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.4261340767461 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.01953125 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.1640625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 135.0ms | 226× | 1 | valid |
| 15.0ms | 25× | 2 | valid |
| 8.0ms | 5× | 0 | valid |
Compiled 588 to 80 computations (86.4% saved)
ival-div: 48.0ms (41.2% of total)ival-mult: 25.0ms (21.5% of total)adjust: 13.0ms (11.2% of total)ival-sqrt: 12.0ms (10.3% of total)ival-sub: 8.0ms (6.9% of total)ival-add: 7.0ms (6% of total)ival-neg: 3.0ms (2.6% 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 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (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))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (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 (/ 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) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
1 |
(+ 1 (* -1 x)) |
x |
(* 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) |
(- 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)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
-1 |
(+ 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 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(+ (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 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))) (* -1/2 (sqrt x))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1 (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 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)) |
(/ (- (* -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 x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* 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) |
(* 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)))))))) |
(* 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))))))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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)))) |
(* -2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))) (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) (pow x 3))))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (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)) |
(* -1 (* (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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- 1 (/ 1 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 (* 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)) (pow (sqrt -1) 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)))))))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* 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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (- 1 x) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* -1 (- (+ x 1) x)) (/ (* -1 (- (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 x)) (+ (sqrt x) (sqrt (+ x 1))) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (/ -1/2 (* x x)) (sqrt (* (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) |
| 5.0ms | x | @ | -inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (- 1 x) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* -1 (- (+ x 1) x)) (/ (* -1 (- (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 x)) (+ (sqrt x) (sqrt (+ x 1))) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (/ -1/2 (* x x)) (sqrt (* (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) |
| 3.0ms | x | @ | inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- 1 x) (sqrt x)) (- 1 x) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* -1 (- (+ x 1) x)) (/ (* -1 (- (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 x)) (+ (sqrt x) (sqrt (+ x 1))) (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (/ -1/2 (* x x)) (sqrt (* (+ x 1) x)) (* (sqrt x) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 523 | 2575 |
| 0 | 1936 | 2421 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (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 (/ 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) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
1 |
(+ 1 (* -1 x)) |
x |
(* 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) |
(- 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)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
-1 |
(+ 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 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(+ (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 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))) (* -1/2 (sqrt x))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1 (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 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)) |
(/ (- (* -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 x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* 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) |
(* 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)))))))) |
(* 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))))))) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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)))) |
(* -2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))) (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) (pow x 3))))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (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)) |
(* -1 (* (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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- 1 (/ 1 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 (* 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)) (pow (sqrt -1) 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)))))))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* 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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/16 binary64)) x (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 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) |
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(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -2 binary64)) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64)))) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) x))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 248 |
| 0 | 70 | 232 |
| 1 | 272 | 201 |
| 2 | 2210 | 197 |
| 0 | 8865 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (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))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x))) (neg.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))) |
(/.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))) |
(neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) (/.f64 (fma.f64 x x x) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))) |
(-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))) |
(-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(+.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))) |
(*.f64 (neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x)))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))))) |
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))) |
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(/.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)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
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(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64))) |
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(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 x (+.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 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (sqrt.f64 (-.f64 (*.f64 x x) x))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(sqrt.f64 (fma.f64 x x x)) |
(fabs.f64 (hypot.f64 (sqrt.f64 x) x)) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) x) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) x) |
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) x) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) x) |
(hypot.f64 (neg.f64 x) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 x) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(hypot.f64 (neg.f64 x) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))) |
(hypot.f64 (neg.f64 x) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (sqrt.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 x) (neg.f64 x)) |
(hypot.f64 (sqrt.f64 x) x) |
(hypot.f64 x (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(hypot.f64 x (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(hypot.f64 x (sqrt.f64 (neg.f64 x))) |
(hypot.f64 x (neg.f64 (sqrt.f64 x))) |
(hypot.f64 x (sqrt.f64 x)) |
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(exp.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
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(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))) |
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(neg.f64 (*.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(+.f64 (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(+.f64 (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
Compiled 51 497 to 5 903 computations (88.5% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 718 | 18 | 1 736 |
| Fresh | 8 | 9 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 729 | 32 | 1 761 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 38.0% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 38.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) | |
| 37.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (* (+ x 1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) | |
| ▶ | 99.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
| 98.0% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) | |
| 82.2% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 81.2% | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 99.2% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 99.5% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| 98.1% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) | |
| 98.2% | (/.f64 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| 98.1% | (/.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 #s(literal 1/8 binary64) x)) x)))) | |
| ✓ | 38.1% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 98.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
| 80.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) | |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))) | |
| 98.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 71.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
| ✓ | 81.2% | #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)) (sqrt.f64 x))) (*.f64 x x))) |
| ▶ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) | |
| 82.4% | #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))) | |
| ✓ | 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 98.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) | |
| 71.9% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) | |
| 81.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 36.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 376 to 947 computations (31.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| cost-diff | 192 | (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 640 | (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) | |
| cost-diff | 128 | (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 192 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) | |
| cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) | |
| 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 | (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 768 | (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 352 |
| 0 | 83 | 354 |
| 1 | 148 | 324 |
| 2 | 419 | 308 |
| 3 | 1683 | 306 |
| 4 | 5983 | 294 |
| 0 | 8253 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt 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) |
x |
(*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(neg.f64 (sqrt.f64 (+.f64 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) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) |
(sqrt.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) |
(*.f64 x #s(literal 3/8 binary64)) |
x |
#s(literal 3/8 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt 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) |
x |
(*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 x (sqrt.f64 x))) |
(/.f64 x (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#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 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)) |
(sqrt.f64 x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) x)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) |
(/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 3/8 binary64) x) |
(*.f64 x #s(literal 3/8 binary64)) |
(*.f64 #s(literal 3/8 binary64) x) |
x |
#s(literal 3/8 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.2421875 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) | |
| accuracy | 0.30707759172749954 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) | |
| accuracy | 30.158516605311526 | (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) | |
| accuracy | 0.19140625 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) | |
| accuracy | 0.3046875 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) | |
| accuracy | 0.49609375 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.9590932491183781 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.16015625 | (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.9590932491183781 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) | |
| accuracy | 17.176664613813596 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2890625 | (/.f64 (sqrt.f64 x) x) | |
| accuracy | 60.4261340767461 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.1640625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1953125 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0.5 | (/.f64 x (sqrt.f64 x)) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 265.0ms | 226× | 1 | valid |
| 17.0ms | 25× | 2 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 638 to 97 computations (84.8% saved)
ival-div: 100.0ms (42.2% of total)ival-sub: 71.0ms (30% of total)ival-mult: 31.0ms (13.1% of total)adjust: 14.0ms (5.9% of total)ival-sqrt: 9.0ms (3.8% of total)ival-add: 6.0ms (2.5% of total)ival-neg: 4.0ms (1.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 x (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) |
(neg.f64 x) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (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 (/ 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 |
(+ 1/2 (* -1/2 x)) |
1 |
(+ 1 (* -1 x)) |
(* -1 (sqrt (pow x 5))) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(* -1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
-1/2 |
(- (* 1/2 x) 1/2) |
(/ 3/8 x) |
(/ -3/8 x) |
(/ (- (* 1/2 x) 3/8) 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) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(* -1 x) |
(* -1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(/ -3/8 (pow x 2)) |
(/ (- (* 1/2 x) 3/8) (pow x 2)) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 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)) |
(/ (- (* -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 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (/ 1 x) 1)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* 1/2 x) |
(* x (- 1/2 (* 1/2 (/ 1 x)))) |
(- 1/2 (* 3/8 (/ 1 x))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))) (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 4)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))) (+ (* -1 (/ (- (* 1/16 (* (sqrt (pow x 5)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 4)))) (* 1/16 (/ (pow x 2) (pow (sqrt -1) 4)))) (pow x 6))) (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))))))) |
(/ 1 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ (+ (* 1/2 (/ 1 (* x (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 1/4 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(* -1 (* (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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 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) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (- 1 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- 1 x) (* (sqrt x) (* (neg x) x)) (/ (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) x) (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (* -1/2 (- 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* x 3/8) (* x x)) (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ x (sqrt x)) (sqrt (/ 1 x)) (/ (* (- 1 x) 1/2) (* (sqrt x) (* (neg x) x))) (neg x) (/ (* -1/2 (- 1 x)) (sqrt x)) (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x)) |
| 3.0ms | x | @ | inf | ((* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (- 1 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- 1 x) (* (sqrt x) (* (neg x) x)) (/ (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) x) (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (* -1/2 (- 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* x 3/8) (* x x)) (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ x (sqrt x)) (sqrt (/ 1 x)) (/ (* (- 1 x) 1/2) (* (sqrt x) (* (neg x) x))) (neg x) (/ (* -1/2 (- 1 x)) (sqrt x)) (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x)) |
| 3.0ms | x | @ | 0 | ((* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (/ x (sqrt x)) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (* (- 1 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- 1 x) (* (sqrt x) (* (neg x) x)) (/ (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) x) (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (* -1/2 (- 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* x 3/8) (* x x)) (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ x (sqrt x)) (sqrt (/ 1 x)) (/ (* (- 1 x) 1/2) (* (sqrt x) (* (neg x) x))) (neg x) (/ (* -1/2 (- 1 x)) (sqrt x)) (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 468 | 2319 |
| 0 | 1705 | 2189 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (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 (/ 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 |
(+ 1/2 (* -1/2 x)) |
1 |
(+ 1 (* -1 x)) |
(* -1 (sqrt (pow x 5))) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(* -1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
-1/2 |
(- (* 1/2 x) 1/2) |
(/ 3/8 x) |
(/ -3/8 x) |
(/ (- (* 1/2 x) 3/8) 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) |
(- 1 (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x)) |
(* -1 x) |
(* -1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(/ -3/8 (pow x 2)) |
(/ (- (* 1/2 x) 3/8) (pow x 2)) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 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)) |
(/ (- (* -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 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (/ 1 x) 1)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* 1/2 x) |
(* x (- 1/2 (* 1/2 (/ 1 x)))) |
(- 1/2 (* 3/8 (/ 1 x))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x) |
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(/ (- 1/2 (* 3/8 (/ 1 x))) x) |
(* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))) (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 4)))))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (* (sqrt x) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (pow x 2))) (+ (* -1 (/ (- (* 1/16 (* (sqrt (pow x 5)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 4)))) (* 1/16 (/ (pow x 2) (pow (sqrt -1) 4)))) (pow x 6))) (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))))))) |
(/ 1 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ (+ (* 1/2 (/ 1 (* x (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 1/4 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(* -1 (* (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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 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) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/16 binary64)) x (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/8 binary64)))) x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))) x (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x)))) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))) x) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x) |
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(/ (+ (* 1/2 (/ 1 (* x (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (sqrt.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 1/4 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) x)) (* 1/2 (/ 1 (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (/ 1 (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (sqrt.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) x))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))) |
(-.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))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
(-.f64 (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))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/ (- (* -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)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)) |
(neg.f64 (/.f64 (fma.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) x)))) x)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x)) |
(/ (+ (* -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)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (neg.f64 x) (fma.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) x))))) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 294 |
| 0 | 83 | 291 |
| 1 | 317 | 234 |
| 2 | 2581 | 217 |
| 0 | 8622 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 x (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x))) |
(neg.f64 x) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) x) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) x) x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal -1/2 binary64)) x)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) x) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -3/8 binary64) x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal -3/8 binary64) x) x)) |
(+.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))) #s(literal -1 binary64))) |
Compiled 27 997 to 3 497 computations (87.5% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 902 | 11 | 913 |
| Fresh | 11 | 11 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 3 | 5 |
| Total | 919 | 26 | 945 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 38.0% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 38.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) | |
| 99.2% | (/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 99.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) | |
| 98.0% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) | |
| 82.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) | |
| 98.2% | (/.f64 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) | |
| 98.1% | (/.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 #s(literal 1/8 binary64) x)) x)))) | |
| 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))) | |
| ✓ | 38.1% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.1% | (*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) | |
| 98.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) | |
| 98.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) | |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 98.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)) | |
| 71.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) | |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 81.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (neg.f64 x)))) | |
| 98.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal -3/2 binary64)))) | |
| 81.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 36.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 2 007 to 690 computations (65.6% 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.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 x) #s(literal -2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(-.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 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.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 -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.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(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x 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)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (* (+ x 1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))) |
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.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))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.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 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal -3/2 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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3/2 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))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (/.f64 (fma.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) x)))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
2 calls:
| 15.0ms | x |
| 13.0ms | (-.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 |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.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 x) #s(literal -2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(-.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 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.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 -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.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(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x 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)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (* (+ x 1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))) |
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.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))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.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 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
2 calls:
| 15.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.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 x) #s(literal -2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(-.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 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.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 -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.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(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x 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)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (* (+ x 1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))) |
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.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))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.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 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
2 calls:
| 16.0ms | 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 |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.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 x) #s(literal -2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
(-.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 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.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 -1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x) x)) |
(/.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(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x 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)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (* (+ x 1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))) |
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.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))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.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 #s(approx (* -1 (- (+ x 1) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
2 calls:
| 15.0ms | 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 |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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(approx (/ (* -1/2 (- 1 x)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (- 1 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) #s(approx (/ (+ (* (/ (* x 3/8) (* x x)) -1) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -3/8 binary64)) (*.f64 x x)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.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 x) #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) 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 |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (/ (- 1 x) (sqrt x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 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 |
|---|---|---|
| 98.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.0% | 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)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
2 calls:
| 3.0ms | (-.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 |
|---|---|---|
| 81.1% | 1 | x |
| 81.1% | 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)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
2 calls:
| 2.0ms | 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 |
|---|---|---|
| 36.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 36.7% | 1 | x |
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:
| 2.0ms | x |
| 1.0ms | (-.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 |
|---|---|---|
| 5.6% | 1 | x |
| 5.6% | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 228 |
| 1 | 84 | 228 |
| 2 | 113 | 228 |
| 3 | 159 | 228 |
| 4 | 259 | 228 |
| 5 | 412 | 228 |
| 6 | 559 | 228 |
| 7 | 733 | 228 |
| 8 | 851 | 228 |
| 9 | 966 | 228 |
| 10 | 1110 | 228 |
| 11 | 1215 | 228 |
| 12 | 1258 | 228 |
| 13 | 1268 | 228 |
| 14 | 1269 | 228 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 x (sqrt.f64 x))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) 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 #s(approx (/ (/ (* -1/2 (- 1 x)) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (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))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 468 | 2319 |
| 0 | 1705 | 2189 |
| 0 | 34 | 215 |
| 0 | 56 | 204 |
| 1 | 241 | 165 |
| 2 | 2016 | 150 |
| 0 | 8177 | 150 |
| 0 | 42 | 248 |
| 0 | 70 | 232 |
| 1 | 272 | 201 |
| 2 | 2210 | 197 |
| 0 | 8865 | 186 |
| 0 | 114 | 463 |
| 0 | 349 | 430 |
| 0 | 597 | 2747 |
| 0 | 2167 | 2594 |
| 0 | 50 | 294 |
| 0 | 83 | 291 |
| 1 | 317 | 234 |
| 2 | 2581 | 217 |
| 0 | 8622 | 217 |
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 67 | 19 |
| 2 | 582 | 19 |
| 3 | 7065 | 17 |
| 0 | 8091 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 580 to 297 computations (48.8% saved)
Compiled 496 to 162 computations (67.3% saved)
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