
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 6.3% | 6.2% | 93.6% | 0.2% | 0% | 0% | 0% | 5 |
| 8.3% | 6.2% | 68.6% | 0.2% | 0% | 25% | 0% | 6 |
| 11.1% | 6.2% | 49.9% | 0.2% | 0% | 43.7% | 0% | 7 |
| 14.8% | 6.2% | 35.9% | 0.2% | 0% | 57.7% | 0% | 8 |
| 19.8% | 6.2% | 25.3% | 0.2% | 0% | 68.2% | 0% | 9 |
| 23.7% | 6.2% | 20.1% | 0.2% | 0% | 73.5% | 0% | 10 |
| 28.4% | 6.2% | 15.7% | 0.2% | 0% | 77.9% | 0% | 11 |
| 34.1% | 6.2% | 12% | 0.2% | 0% | 81.5% | 0% | 12 |
Compiled 33 to 26 computations (21.2% saved)
| 2.6s | 7 534× | 1 | valid |
| 2.3s | 15 951× | 0 | invalid |
| 103.0ms | 722× | 0 | valid |
ival-sqrt: 1.8s (44.1% of total)ival-add: 1.1s (26.6% of total)ival-sub: 608.0ms (15% of total)adjust: 532.0ms (13.1% of total)ival-true: 19.0ms (0.5% of total)exact: 16.0ms (0.4% of total)ival-assert: 10.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 136 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 130 | 0 | - | 1 | (1.0405686669655601e-256 37.040701269404494 4.0145931525343904e+80 1.6239624765578277e+53) | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 123 | 0 | - | 1 | (5.671704426292079e-304 6.1149884841360985e-236 15.603442162092227 1.755994497053461e-45) | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 116 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 y) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 0 | 0 | - | 0 | - | (+.f64 t #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 39 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | cancellation | 32 | 0 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | cancellation | 31 | 1 |
-.f64 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | cancellation | 22 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 38 | 155 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 38 | 1 | 154 |
| number | freq |
|---|---|
| 0 | 155 |
| 1 | 82 |
| 2 | 16 |
| 3 | 2 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 182.0ms | 464× | 1 | valid |
| 7.0ms | 48× | 0 | valid |
Compiled 449 to 100 computations (77.7% saved)
ival-sqrt: 53.0ms (38.1% of total)ival-add: 34.0ms (24.5% of total)adjust: 33.0ms (23.7% of total)ival-sub: 18.0ms (13% of total)ival-true: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 31 to 24 computations (22.6% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
Compiled 31 to 24 computations (22.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 26.804573062755722 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 29.264536862897366 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 31.80548186324757 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 84.0ms | 232× | 1 | valid |
| 4.0ms | 24× | 0 | valid |
Compiled 278 to 50 computations (82% saved)
ival-sqrt: 28.0ms (42.6% of total)adjust: 15.0ms (22.8% of total)ival-add: 14.0ms (21.3% of total)ival-sub: 8.0ms (12.2% 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 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 2.0ms | x | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 2.0ms | z | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 2.0ms | t | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 2.0ms | y | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1× | egg-herbie |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 538 to 54 computations (90% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 8 | 6 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 8 | 7 | 15 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.5% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ▶ | 26.1% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 22.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ▶ | 16.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| ▶ | 28.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| ▶ | 51.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
Compiled 547 to 406 computations (25.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| cost-diff | 0 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| 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)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| 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)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.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))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(sqrt.f64 t) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.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))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.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 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(sqrt.f64 t) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 31.80548186324757 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 48.83940071944447 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 0.0 | (sqrt.f64 t) | |
| accuracy | 0.03125 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| accuracy | 31.80548186324757 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 49.262493531053494 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| accuracy | 0.015625 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 26.804573062755722 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 42.99555962911037 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 26.804573062755722 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 51.30741251344938 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| accuracy | 26.804573062755722 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| accuracy | 29.264536862897366 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 101.0ms | 232× | 1 | valid |
| 4.0ms | 24× | 0 | valid |
Compiled 906 to 76 computations (91.6% saved)
ival-sqrt: 29.0ms (41.2% of total)ival-add: 16.0ms (22.7% of total)adjust: 16.0ms (22.7% of total)ival-sub: 9.0ms (12.8% 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 (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.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)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 x) |
(sqrt.f64 t) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 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 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(+ 1 (* 1/2 t)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(sqrt t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (- (sqrt (+ z 1)) (sqrt z)) (sqrt x) (sqrt t)) |
| 2.0ms | x | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (- (sqrt (+ z 1)) (sqrt z)) (sqrt x) (sqrt t)) |
| 1.0ms | t | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (- (sqrt (+ z 1)) (sqrt z)) (sqrt x) (sqrt t)) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (- (sqrt (+ z 1)) (sqrt z)) (sqrt x) (sqrt t)) |
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(+ 1 (* 1/2 t)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(sqrt t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 x #s(literal 1 binary64)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(- 1 (sqrt x)) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
1 |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(+ 1 (* 1/2 x)) |
(sqrt.f64 x) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(sqrt.f64 t) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.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)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 x) |
(sqrt.f64 t) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.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)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 x) |
(sqrt.f64 t) |
Compiled 3 972 to 120 computations (97% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 12 | 72 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 60 | 19 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.5% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 26.1% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | 22.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | 16.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| ✓ | 28.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| ✓ | 51.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ▶ | 54.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ▶ | 30.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 35.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| 24.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| 31.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ▶ | 22.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 13.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| ▶ | 15.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
| 15.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) | |
| 16.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) | |
| ▶ | 16.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
| 17.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 1 860 to 1 043 computations (43.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 t #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| accuracy | 29.264536862897366 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 42.522397729542035 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0.0390625 | (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| accuracy | 29.264536862897366 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 48.86990150986457 | #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 42.522397729542035 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 51.30741251344938 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 51.30239562306854 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 31.80548186324757 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 48.83940071944447 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 51.30741251344938 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
| 95.0ms | 232× | 1 | valid |
| 4.0ms | 24× | 0 | valid |
Compiled 1 323 to 80 computations (94% saved)
ival-sqrt: 26.0ms (40.2% of total)ival-add: 15.0ms (23.2% of total)adjust: 15.0ms (23.2% of total)ival-sub: 8.0ms (12.4% 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 (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 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 x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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 |
(* x (+ 1 (/ 1 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(+ 1 y) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+ 1 (* 1/2 t)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | x | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | z | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt (+ t 1)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (- (sqrt (+ y 1)) (sqrt y)) (- (sqrt (+ z 1)) (sqrt z))) |
| 1× | egg-herbie |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 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 x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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 |
(* x (+ 1 (/ 1 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(+ 1 y) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
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(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(sqrt y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
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(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
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(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
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(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
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(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
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(+ 1 (* 1/2 t)) |
(+ 1 (* t (+ 1/2 (* -1/8 t)))) |
(+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
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(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(sqrt t) |
(* t (+ (sqrt (/ 1 t)) (* 1/2 (sqrt (/ 1 (pow t 3)))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 (pow t 3))))))) |
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 7)))) (* 1/2 (sqrt (/ 1 (pow t 3)))))))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* t (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow t 3)))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 x #s(literal 1 binary64)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
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(- 1 (sqrt x)) |
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(- (+ 1 (* 1/2 x)) (sqrt x)) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
1 |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+ 1 x) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 4 161 to 101 computations (97.6% saved)
24 alts after pruning (13 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 7 | 56 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 51 | 24 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.5% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 26.1% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | 22.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 15.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| ▶ | 13.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | 16.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| 15.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 28.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| ✓ | 51.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 30.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ✓ | 54.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ✓ | 30.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ▶ | 29.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ▶ | 35.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| ▶ | 24.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| 31.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| 18.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ✓ | 22.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 23.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ✓ | 15.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
| 16.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) | |
| ✓ | 16.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 17.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 2 210 to 1 228 computations (44.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
(sqrt.f64 t) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(sqrt.f64 y) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 t #s(literal 1 binary64))) |
(+.f64 t #s(literal 1 binary64)) |
t |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
(sqrt.f64 (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
z |
(sqrt.f64 z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| accuracy | 29.264536862897366 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 46.155931082068605 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 42.522397729542035 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 42.99555962911037 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.0078125 | (sqrt.f64 (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 30.157088529990265 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) | |
| accuracy | 53.41814280674186 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 26.833434968187273 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| accuracy | 50.89186818298689 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 31.80548186324757 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) | |
| accuracy | 42.99555962911037 | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| accuracy | 48.83940071944447 | #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) | |
| accuracy | 51.30741251344938 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
| 104.0ms | 232× | 1 | valid |
| 4.0ms | 24× | 0 | valid |
Compiled 1 159 to 80 computations (93.1% saved)
ival-sqrt: 36.0ms (48% of total)adjust: 16.0ms (21.3% of total)ival-add: 14.0ms (18.7% of total)ival-sub: 8.0ms (10.7% 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 (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 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 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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)) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(+ 1 y) |
(sqrt y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt y) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | x | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt y) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt y) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | x | @ | inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt y) (- (sqrt (+ z 1)) (sqrt z))) |
| 1.0ms | z | @ | -inf | ((+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt (+ x 1)) (+ x 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (- (sqrt (+ y 1)) (sqrt y)) (sqrt (+ y 1)) (+ y 1) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ x 1)) (sqrt x)) (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t)) (sqrt y) (- (sqrt (+ z 1)) (sqrt z))) |
| 1× | egg-herbie |
| Inputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- 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 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (sqrt (+ 1 y)) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (sqrt y)) |
(* 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) |
(- (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) (+ (sqrt y) (sqrt z))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 x)))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) (sqrt y)) |
(- (+ (sqrt (+ 1 y)) (* -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))) (sqrt y)) |
(* -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)) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 x))))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) (+ (sqrt y) (sqrt z))) |
(- (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -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)))) (+ (sqrt y) (sqrt z))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (sqrt (+ 1 x))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* 1/2 y))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* -1/8 y))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* -1/8 y)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt y)) |
(- (+ 1 (* 1/2 y)) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* -1/8 y)))) (sqrt y)) |
(- (+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) (sqrt y)) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* -1/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (- (* 1/16 y) 1/8))))) |
(+ 1 y) |
(sqrt y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (sqrt (+ 1 x)) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* 1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y)))))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 z))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (+ (* 1/16 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 y))))))) (+ (sqrt x) (sqrt z))) |
(* 1/2 (sqrt (/ 1 y))) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (* 1/2 (sqrt y))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y)))) y) |
(/ (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -5/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt y))))) y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3)))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y)))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))))) (+ (sqrt t) (+ (sqrt x) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (* -1/2 (sqrt (/ 1 y)))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y))) (sqrt x)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 y))))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)))) (+ (sqrt x) (sqrt z))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)))) (+ (sqrt x) (sqrt z))) |
(* -1/2 (sqrt (/ 1 y))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt y))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y)))) y)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 y)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt y))))) y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* -1/8 z)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- 1 (sqrt z)) |
(- (+ 1 (* 1/2 z)) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* -1/8 z)))) (sqrt z)) |
(- (+ 1 (* z (+ 1/2 (* z (- (* 1/16 z) 1/8))))) (sqrt z)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (sqrt (+ 1 y)))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z)))))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* 1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt (/ 1 z)))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (+ (* 1/16 (sqrt (/ 1 (pow z 5)))) (* 1/2 (sqrt (/ 1 z))))))) (+ (sqrt x) (sqrt y))) |
(* 1/2 (sqrt (/ 1 z))) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (* 1/2 (sqrt z))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z)))) z) |
(/ (+ (* -1/8 (sqrt (/ 1 z))) (+ (* -5/128 (sqrt (/ 1 (pow z 5)))) (+ (* 1/16 (sqrt (/ 1 (pow z 3)))) (* 1/2 (sqrt z))))) z) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z)))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z))))) (+ (sqrt t) (+ (sqrt x) (sqrt y)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1/2 (sqrt (/ 1 z))))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)))) (+ (sqrt x) (sqrt y))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)))) (+ (sqrt x) (sqrt y))) |
(* -1/2 (sqrt (/ 1 z))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt z))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z)))) z)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow z 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt z))))) z)) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 t))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* -1/8 t))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- (+ 1 (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* t (+ 1/2 (* t (- (* 1/16 t) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(- 1 (sqrt t)) |
(- (+ 1 (* 1/2 t)) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* -1/8 t)))) (sqrt t)) |
(- (+ 1 (* t (+ 1/2 (* t (- (* 1/16 t) 1/8))))) (sqrt t)) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt (/ 1 t))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (+ (* -1/8 (sqrt (/ 1 (pow t 3)))) (+ (* 1/16 (sqrt (/ 1 (pow t 5)))) (* 1/2 (sqrt (/ 1 t)))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* 1/2 (sqrt (/ 1 t))) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (* 1/2 (sqrt t))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t)))) t) |
(/ (+ (* -1/8 (sqrt (/ 1 t))) (+ (* -5/128 (sqrt (/ 1 (pow t 5)))) (+ (* 1/16 (sqrt (/ 1 (pow t 3)))) (* 1/2 (sqrt t))))) t) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1/2 (sqrt (/ 1 t)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(- (+ (sqrt (+ 1 x)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(* -1/2 (sqrt (/ 1 t))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt t))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t)))) t)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 t)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow t 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt t))))) t)) |
| Outputs |
|---|
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(- (+ 1 (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) (+ (sqrt t) (+ (sqrt x) (+ (sqrt y) (sqrt z))))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(- (+ 1 (sqrt (+ 1 y))) (+ (sqrt x) (sqrt y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* 1/2 x))) (+ (sqrt x) (sqrt y))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* -1/8 x))))) (+ (sqrt x) (sqrt y))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (+ (sqrt x) (sqrt y))) |
(+.f64 x #s(literal 1 binary64)) |
(- 1 (sqrt x)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+.f64 y #s(literal 1 binary64)) |
(- (+ 1 (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 x)))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* -1/8 x)))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) (+ (sqrt x) (+ (sqrt y) (sqrt z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
1 |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(+ 1 x) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (sqrt (+ 1 z)))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(sqrt.f64 y) |
(- (+ (sqrt (+ 1 t)) (+ (sqrt (+ 1 y)) (+ (sqrt (+ 1 z)) (* 1/2 (sqrt (/ 1 x)))))) (+ (sqrt t) (+ (sqrt y) (sqrt z)))) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
(+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) |
#s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
(-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
(sqrt.f64 y) |
(-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
Compiled 4 254 to 100 computations (97.6% saved)
27 alts after pruning (11 fresh and 16 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 3 | 62 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 11 | 11 |
| Total | 59 | 27 | 86 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 29.5% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 26.1% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| ✓ | 22.4% | (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 15.3% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) | |
| ✓ | 13.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| ✓ | 16.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
| 15.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) | |
| ✓ | 28.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| ✓ | 51.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 30.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ✓ | 54.0% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ✓ | 30.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ✓ | 29.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| ✓ | 35.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| 23.4% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) | |
| ✓ | 24.2% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| 31.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| 18.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| ✓ | 22.7% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| 23.5% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) | |
| 6.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) | |
| ✓ | 15.1% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
| 16.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) | |
| ✓ | 16.9% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 17.6% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 20.8% | #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
Compiled 3 212 to 989 computations (69.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
11 calls:
| 13.0ms | z |
| 11.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 10.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 8.0ms | t |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | x |
| 89.1% | 1 | y |
| 89.1% | 1 | z |
| 89.1% | 1 | t |
| 89.1% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 89.1% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 89.1% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 89.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 89.1% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 89.1% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 89.1% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
11 calls:
| 9.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 9.0ms | y |
| 9.0ms | t |
| 8.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 3 | y |
| 54.0% | 1 | z |
| 54.0% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 59.3% | 3 | x |
| 73.6% | 2 | t |
| 61.6% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 62.6% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 73.6% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 73.1% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 56.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 55.6% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
3 calls:
| 10.0ms | t |
| 6.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 6.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 71.4% | 3 | t |
| 69.4% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
2 calls:
| 8.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 68.6% | 2 | t |
Compiled 8 to 13 computations (-62.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
11 calls:
| 10.0ms | z |
| 9.0ms | x |
| 8.0ms | y |
| 7.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 3 | z |
| 42.4% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 48.7% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 48.7% | 2 | y |
| 43.4% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 45.4% | 3 | x |
| 53.7% | 4 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 44.4% | 4 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 54.4% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 47.3% | 2 | t |
| 47.3% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
2 calls:
| 5.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 5.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 52.0% | 3 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 38 to 33 computations (13.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
4 calls:
| 6.0ms | t |
| 6.0ms | y |
| 6.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 2 | t |
| 42.8% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 44.5% | 3 | y |
| 45.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 24 to 31 computations (-29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
3 calls:
| 9.0ms | t |
| 5.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 41.8% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 44.0% | 3 | t |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
(+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
9 calls:
| 9.0ms | y |
| 9.0ms | x |
| 6.0ms | t |
| 6.0ms | z |
| 5.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 2 | t |
| 34.1% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 37.1% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 38.8% | 3 | y |
| 34.1% | 2 | z |
| 38.8% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 39.1% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 38.8% | 2 | x |
| 40.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 63 to 76 computations (-20.6% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
4 calls:
| 8.0ms | t |
| 4.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 4.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 33.2% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 40.5% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 40.5% | 2 | t |
Compiled 54 to 51 computations (5.6% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
7 calls:
| 7.0ms | t |
| 7.0ms | y |
| 5.0ms | x |
| 4.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 4.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.2% | 2 | y |
| 32.9% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 30.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 30.6% | 2 | x |
| 33.9% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 33.9% | 2 | t |
| 36.0% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
Compiled 55 to 63 computations (-14.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
2 calls:
| 5.0ms | y |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 37.1% | 2 | y |
Compiled 8 to 13 computations (-62.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
9 calls:
| 6.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 6.0ms | t |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.7% | 2 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 29.0% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 31.6% | 2 | t |
| 31.6% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 27.9% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 29.7% | 3 | z |
| 30.7% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 31.8% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 31.8% | 2 | y |
Compiled 93 to 96 computations (-3.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
4 calls:
| 5.0ms | y |
| 4.0ms | t |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.6% | 2 | t |
| 27.6% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 31.4% | 2 | y |
| 31.4% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
Compiled 16 to 26 computations (-62.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
11 calls:
| 6.0ms | z |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 4.0ms | y |
| 4.0ms | t |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.6% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 25.6% | 2 | t |
| 24.2% | 2 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 26.6% | 3 | z |
| 20.8% | 2 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 25.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 25.5% | 2 | x |
| 24.9% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 26.2% | 3 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 26.2% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 26.2% | 2 | y |
Compiled 101 to 109 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
7 calls:
| 6.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 3.0ms | t |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.0% | 3 | z |
| 25.0% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 25.0% | 2 | x |
| 24.8% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 24.8% | 2 | t |
| 22.6% | 2 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 22.6% | 2 | y |
Compiled 25 to 43 computations (-72% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
4 calls:
| 3.0ms | t |
| 3.0ms | x |
| 2.0ms | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.8% | 2 | t |
| 23.8% | 2 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 24.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 24.7% | 2 | x |
Compiled 24 to 31 computations (-29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
2 calls:
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.8% | 2 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 24.8% | 2 | t |
Compiled 8 to 13 computations (-62.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
11 calls:
| 2.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.6% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 17.6% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 17.6% | 1 | y |
| 17.6% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 17.6% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 17.6% | 1 | z |
| 17.6% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 17.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 17.6% | 1 | x |
| 17.6% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 17.6% | 1 | t |
Compiled 101 to 109 computations (-7.9% saved)
Total -6.9b remaining (-13%)
Threshold costs -6.9b (-13%)
| Inputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (sqrt.f64 y)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
11 calls:
| 4.0ms | z |
| 1.0ms | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.9% | 1 | (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) |
| 16.9% | 1 | (+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
| 16.9% | 1 | (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) |
| 16.9% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 16.9% | 1 | t |
| 16.9% | 1 | (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) |
| 16.9% | 1 | (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)) |
| 16.9% | 1 | x |
| 16.9% | 1 | z |
| 16.9% | 1 | (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) |
| 16.9% | 1 | y |
Compiled 101 to 109 computations (-7.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.89412297308445e-7 | 1.4558951079379767e-5 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 2.3235200287787876e-6 | 26193.138692066186 |
| 57.0ms | 3.1256011745857326e-234 | 3.701779680321724e-227 |
| 91.0ms | 243× | 1 | valid |
| 9.0ms | 61× | 0 | valid |
Compiled 2 720 to 1 599 computations (41.2% saved)
ival-sqrt: 31.0ms (38.1% of total)ival-add: 22.0ms (27% of total)adjust: 18.0ms (22.1% of total)ival-sub: 9.0ms (11.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0030893853873124044 | 0.9984768520700774 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0011758543685687 | 1.001463152850647 |
| 0.0ms | 0.38648263197285604 | 0.9396127638529633 |
Compiled 34 to 32 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9713932314146327 | 1.9847432112370402 |
| 0.0ms | 0.9396127638529633 | 0.9782083862614769 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 2.3235200287787876e-6 | 26193.138692066186 |
| 28.0ms | 88× | 1 | valid |
| 3.0ms | 24× | 0 | valid |
Compiled 1 104 to 791 computations (28.4% saved)
ival-sqrt: 10.0ms (38% of total)ival-add: 7.0ms (26.6% of total)adjust: 5.0ms (19% of total)ival-sub: 3.0ms (11.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9396127638529633 | 0.9782083862614769 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 4.509297808896341e-19 | 3.934778918390271e-11 |
| 36.0ms | 109× | 1 | valid |
| 4.0ms | 35× | 0 | valid |
Compiled 808 to 598 computations (26% saved)
ival-sqrt: 15.0ms (44.2% of total)ival-add: 7.0ms (20.6% of total)adjust: 7.0ms (20.6% of total)ival-sub: 4.0ms (11.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9396127638529633 | 0.9782083862614769 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.0041305224002488e+23 | 5.3861094345523896e+23 |
| 15.0ms | 48× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 482 to 303 computations (37.1% saved)
ival-sqrt: 6.0ms (42.9% of total)ival-add: 3.0ms (21.5% of total)adjust: 3.0ms (21.5% of total)ival-sub: 2.0ms (14.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0041305224002488e+23 | 5.3861094345523896e+23 |
Compiled 478 to 303 computations (36.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9396127638529633 | 0.9847432112370402 |
Compiled 34 to 32 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0041305224002488e+23 | 5.3861094345523896e+23 |
Compiled 446 to 283 computations (36.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0041305224002488e+23 | 5.3861094345523896e+23 |
Compiled 478 to 287 computations (40% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 116777.38708571887 | 180813.86672444243 |
| 18.0ms | 55× | 1 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 398 to 275 computations (30.9% saved)
ival-sqrt: 6.0ms (37.7% of total)adjust: 4.0ms (25.1% of total)ival-add: 3.0ms (18.9% of total)ival-sub: 2.0ms (12.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.509297808896341e-19 | 3.934778918390271e-11 |
Compiled 1 069 to 589 computations (44.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.3235200287787876e-6 | 26193.138692066186 |
| 30.0ms | 100× | 1 | valid |
| 5.0ms | 28× | 0 | valid |
Compiled 1 154 to 631 computations (45.3% saved)
ival-sqrt: 12.0ms (40% of total)ival-add: 8.0ms (26.7% of total)adjust: 6.0ms (20% of total)ival-sub: 4.0ms (13.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 t #s(literal 5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (if (<=.f64 t #s(literal 1643813863990231/1125899906842624 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 1/2 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4509003946923341/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4458563631096791/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 t #s(literal 57 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 t #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 180000 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 t #s(literal 1470053796651389/38685626227668133590597632 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 t #s(literal 5000 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 t #s(literal 5462437423415177/109248748468303532426524291739177087748419720352823839299932287987941986104404083859807145179079545499532163655162810211465442126301091677476673225561388319475223061782757614525859074636379160981159362824370366086868021215846014341794428966928384 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (if (<=.f64 t #s(literal 1643813863990231/1125899906842624 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 1/2 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4509003946923341/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4458563631096791/2251799813685248 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))))) |
(if (<=.f64 t #s(literal 57 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 t #s(literal 1470053796651389/38685626227668133590597632 binary64)) (+.f64 #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z))))) |
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) #s(approx (sqrt (+ x 1)) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 309999999999999970639872 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (+.f64 #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (+.f64 y #s(literal 1 binary64))) (-.f64 (sqrt.f64 (+.f64 z #s(literal 1 binary64))) (sqrt.f64 z)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 180000 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64)))))) |
(if (<=.f64 t #s(literal 1470053796651389/38685626227668133590597632 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (-.f64 (sqrt.f64 (+.f64 t #s(literal 1 binary64))) (sqrt.f64 t)))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 t #s(literal 5000 binary64)) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (sqrt.f64 (+.f64 t #s(literal 1 binary64))))) #s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (- (sqrt (+ t 1)) (sqrt t))) #s(approx (+ (+ (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ y 1)) (sqrt y))) (- (sqrt (+ z 1)) (sqrt z))) (+.f64 x #s(literal 1 binary64)))) |
| 1× | fuel |
Compiled 2 409 to 139 computations (94.2% saved)
Compiled 4 954 to 380 computations (92.3% saved)
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