2isqrt (example 3.6)
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 1.2s | 6 865× | 1 | valid |
| 235.0ms | 1 120× | 2 | valid |
| 20.0ms | 271× | 0 | valid |
ival-sqrt: 310.0ms (26.8% of total)ival-div: 257.0ms (22.2% of total)const: 190.0ms (16.4% of total)adjust: 171.0ms (14.8% of total)ival-add: 81.0ms (7% of total)ival-sub: 76.0ms (6.6% of total)ival->: 30.0ms (2.6% of total)ival-<: 20.0ms (1.7% of total)ival-and: 12.0ms (1% of total)exact: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 189 | 0 | - | 1 | (33.969954488666986) | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 188 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 188 | 1 |
| - | 0 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 188 | 1 | 0 |
| - | 0 | 0 | 67 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 79.0ms | 434× | 1 | valid |
| 12.0ms | 62× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-sqrt: 15.0ms (30.3% of total)ival-div: 14.0ms (28.3% of total)adjust: 10.0ms (20.2% of total)ival-add: 5.0ms (10.1% of total)ival-sub: 5.0ms (10.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 20 | 25 |
| 2 | 47 | 24 |
| 3 | 89 | 24 |
| 4 | 144 | 24 |
| 5 | 210 | 24 |
| 6 | 248 | 24 |
| 7 | 275 | 24 |
| 8 | 284 | 24 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 36 | 11 |
| 4 | 48 | 11 |
| 5 | 68 | 11 |
| 6 | 107 | 11 |
| 7 | 142 | 11 |
| 8 | 203 | 11 |
| 9 | 234 | 11 |
| 10 | 255 | 11 |
| 11 | 258 | 11 |
| 0 | 258 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 14 | 32 |
| 1 | 19 | 32 |
| 2 | 27 | 32 |
| 3 | 36 | 32 |
| 4 | 48 | 32 |
| 5 | 68 | 32 |
| 6 | 107 | 32 |
| 7 | 142 | 32 |
| 8 | 203 | 32 |
| 9 | 234 | 32 |
| 10 | 255 | 32 |
| 11 | 258 | 32 |
| 0 | 258 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.3125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 41.96482671418304 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 52.0ms | 217× | 1 | valid |
| 6.0ms | 31× | 2 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-sqrt: 30.0ms (61.6% of total)ival-div: 9.0ms (18.5% of total)adjust: 5.0ms (10.3% of total)ival-add: 2.0ms (4.1% of total)ival-sub: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* 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)))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -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))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 2.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 667 |
| 1 | 437 | 590 |
| 2 | 1377 | 562 |
| 3 | 4678 | 549 |
| 0 | 8148 | 503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* 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)))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -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))))))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* 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)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 14 | 27 |
| 1 | 66 | 23 |
| 2 | 565 | 23 |
| 3 | 6723 | 23 |
| 0 | 8443 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (hypot.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -9 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
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(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
Compiled 7 046 to 958 computations (86.4% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 14 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 296 | 15 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| ▶ | 34.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 37.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| ▶ | 37.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
| 37.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ✓ | 34.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
| 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) | |
| 8.1% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 3.6% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) | |
| 34.3% | (*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) | |
| ▶ | 83.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
| 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| 63.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| ▶ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 575 to 376 computations (34.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| cost-diff | 2 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 2 | (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 4 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 1 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 3 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 360 |
| 0 | 80 | 350 |
| 1 | 135 | 348 |
| 2 | 309 | 342 |
| 3 | 984 | 336 |
| 4 | 3984 | 336 |
| 0 | 8261 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) |
#s(literal -1/2 binary64) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| accuracy | 0.3125 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) | |
| accuracy | 57.807288796287416 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.25 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.31478500976844204 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 59.31671989666236 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.3125 | (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) | |
| accuracy | 41.96482671418304 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) | |
| accuracy | 63.43645548709391 | #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.16796875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.27687678877579 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.5496281849214515 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.0065793914657741 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) | |
| accuracy | 9.55371081973604 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) | |
| accuracy | 21.295789727839352 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 138.0ms | 217× | 1 | valid |
| 23.0ms | 31× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 320 to 43 computations (86.6% saved)
ival-add: 32.0ms (26.3% of total)ival-div: 24.0ms (19.8% of total)adjust: 20.0ms (16.5% of total)ival-mult: 19.0ms (15.6% of total)ival-sqrt: 11.0ms (9.1% of total)ival-sub: 8.0ms (6.6% of total)ival-pow: 3.0ms (2.5% of total)ival-neg: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* x (- (sqrt x) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/ (- (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/ 1 x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))) |
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt (+ x 1)) (/ -1 (sqrt (+ x 1)))) |
| 8.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt (+ x 1)) (/ -1 (sqrt (+ x 1)))) |
| 4.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (sqrt (+ x 1)) (/ -1 (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 2756 |
| 1 | 1550 | 2285 |
| 2 | 4962 | 2252 |
| 0 | 8127 | 2116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* x (- (sqrt x) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/ (- (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/ 1 x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))) |
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3))))))) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 4)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/ (- (* x (- (sqrt x) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) (*.f64 x x)) |
(/ (- (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x)))) (sqrt x)) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(neg.f64 (+.f64 (sqrt.f64 x) x)) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
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(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 x))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) x)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x))) (neg.f64 x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x))) (neg.f64 x)) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) x) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x)) (*.f64 x x)) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 277 |
| 0 | 80 | 256 |
| 1 | 337 | 222 |
| 2 | 2929 | 222 |
| 0 | 8833 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) x) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
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(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) |
(*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
Compiled 37 899 to 4 580 computations (87.9% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 142 | 20 | 1 162 |
| Fresh | 7 | 2 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 152 | 25 | 1 177 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 37.4% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| ✓ | 34.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 8.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 98.0% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 97.2% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 37.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 34.3% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 34.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| ▶ | 99.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
| 98.1% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 97.4% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 97.1% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| ✓ | 34.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.6% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) | |
| 34.4% | (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 34.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 98.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x)) | |
| 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| 82.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ▶ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| 32.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)))) |
Compiled 1 058 to 694 computations (34.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) | |
| cost-diff | 3 | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 1 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 2 | (-.f64 x x) | |
| cost-diff | 2 | (+.f64 #s(literal 1 binary64) (-.f64 x x)) | |
| cost-diff | 2 | (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 4 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 284 |
| 0 | 66 | 266 |
| 1 | 115 | 264 |
| 2 | 213 | 264 |
| 3 | 519 | 261 |
| 4 | 1457 | 260 |
| 5 | 3101 | 260 |
| 6 | 4951 | 260 |
| 7 | 6374 | 258 |
| 8 | 7042 | 257 |
| 9 | 7688 | 257 |
| 0 | 8017 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
#s(literal 1 binary64) |
(-.f64 x x) |
x |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(-.f64 x x) |
#s(literal 0 binary64) |
x |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(-.f64 (neg.f64 x) (hypot.f64 (sqrt.f64 x) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) |
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) |
(-.f64 (hypot.f64 (sqrt.f64 x) x) x) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(hypot.f64 (sqrt.f64 x) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.25 | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.31478500976844204 | (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) | |
| accuracy | 1.4500047800692928 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.25 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 25.59249523637569 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 58.59951875437964 | (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.25 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 1.4499754374805323 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.30859375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.27687678877579 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.03125 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.15625 | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| accuracy | 0.3125 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
| 211.0ms | 217× | 1 | valid |
| 28.0ms | 31× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 252 to 32 computations (87.3% saved)
adjust: 127.0ms (66% of total)ival-div: 26.0ms (13.5% of total)ival-sqrt: 13.0ms (6.8% of total)ival-mult: 10.0ms (5.2% of total)ival-sub: 8.0ms (4.2% of total)ival-add: 6.0ms (3.1% of total)ival-neg: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
(-.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
1 |
0 |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/2 x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
x |
(* x (+ 1 x)) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+ 1 x) |
(+ (sqrt x) (* -1 x)) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 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 (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ 1 (/ 1 x))) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -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 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ 1 (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (+ 1 (- x x)) (- x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ 1/2 x) (sqrt (+ x 1)) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (/ -1 (sqrt (+ x 1))) (/ (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (+ (sqrt x) (sqrt (+ x 1))) (+ x 1) (- (sqrt (* (+ x 1) x)) x) (sqrt (/ 1 x))) |
| 4.0ms | x | @ | 0 | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (+ 1 (- x x)) (- x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ 1/2 x) (sqrt (+ x 1)) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (/ -1 (sqrt (+ x 1))) (/ (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (+ (sqrt x) (sqrt (+ x 1))) (+ x 1) (- (sqrt (* (+ x 1) x)) x) (sqrt (/ 1 x))) |
| 3.0ms | x | @ | inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (+ 1 (- x x)) (- x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ 1/2 x) (sqrt (+ x 1)) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* 1/2 (sqrt (/ 1 x))) (/ -1 (sqrt (+ x 1))) (/ (* (+ 1 (- x x)) (/ -1 (sqrt (+ x 1)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (+ (sqrt x) (sqrt (+ x 1))) (+ x 1) (- (sqrt (* (+ x 1) x)) x) (sqrt (/ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 613 | 2972 |
| 1 | 1843 | 2428 |
| 2 | 6257 | 2328 |
| 0 | 8101 | 2159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
1 |
0 |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/2 x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
x |
(* x (+ 1 x)) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(* 1/2 (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(+ 1 x) |
(+ (sqrt x) (* -1 x)) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 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 (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ 1 (/ 1 x))) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -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 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ 1 (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(neg.f64 (+.f64 (sqrt.f64 x) x)) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
0 |
#s(literal 0 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (-.f64 (sqrt.f64 x) x)) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) (sqrt.f64 x)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))) x)) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(+ 1 (sqrt x)) |
(+.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ (sqrt x) (* -1 x)) |
(-.f64 (sqrt.f64 x) x) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal -1 binary64)) x (sqrt.f64 x)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (*.f64 x x)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
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(* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) |
#s(literal 0 binary64) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 x)) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (neg.f64 x)) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary64) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 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)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ 1 (pow (sqrt -1) 2)))) |
#s(literal 0 binary64) |
(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x))))) |
#s(literal 1/2 binary64) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))) |
(*.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 240 |
| 0 | 66 | 218 |
| 1 | 268 | 185 |
| 2 | 1771 | 185 |
| 0 | 8320 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (-.f64 x x)) |
(-.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x))) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))) |
(neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) |
(-.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
#s(literal 0 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
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(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 x (*.f64 x x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
Compiled 34 836 to 4 091 computations (88.3% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 335 | 14 | 1 349 |
| Fresh | 5 | 12 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 344 | 30 | 1 374 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 8.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 98.0% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.1% | (/.f64 (/.f64 #s(approx (- (sqrt (* (+ x 1) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 99.2% | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
| 37.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 34.3% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 34.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 98.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) | |
| 97.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) | |
| 82.8% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 82.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) | |
| ✓ | 97.4% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 33.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) | |
| 97.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) | |
| ▶ | 98.5% | (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 97.1% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| ▶ | 96.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | 34.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 34.4% | (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 34.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 97.3% | (*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 30.9% | #s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
| 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| 82.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| 32.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)))) |
Compiled 1 302 to 884 computations (32.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1 | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 x x x)) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1 | (sqrt.f64 (fma.f64 x x x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 0 | #s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 2 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 298 |
| 0 | 74 | 295 |
| 1 | 120 | 292 |
| 2 | 218 | 289 |
| 3 | 433 | 284 |
| 4 | 1000 | 283 |
| 5 | 2519 | 283 |
| 6 | 5317 | 283 |
| 0 | 8124 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) |
(-.f64 (sqrt.f64 (fma.f64 x x x)) x) |
(sqrt.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) |
(+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) |
(/.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
x |
#s(literal -1/8 binary64) |
(neg.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x (fma.f64 (sqrt.f64 x) x (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) |
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) |
(-.f64 (sqrt.f64 (fma.f64 x x x)) x) |
(-.f64 (hypot.f64 (sqrt.f64 x) x) x) |
(sqrt.f64 (fma.f64 x x x)) |
(hypot.f64 (sqrt.f64 x) x) |
(fma.f64 x x x) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64)) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) |
(+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) |
(-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
x |
#s(literal -1/8 binary64) |
(neg.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) | |
| accuracy | 0.25 | (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.7407279650363413 | #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) | |
| accuracy | 0.25 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 25.59249523637569 | (sqrt.f64 (fma.f64 x x x)) | |
| accuracy | 58.59951875437964 | (-.f64 (sqrt.f64 (fma.f64 x x x)) x) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.23828125 | (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.6211191074823639 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| accuracy | 1.4499754374805323 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 44.23423187659767 | #s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) | |
| accuracy | 0.03125 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.15625 | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| accuracy | 0.3125 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.50390625 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
| 130.0ms | 245× | 1 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 265 to 42 computations (84.2% saved)
ival-div: 27.0ms (27.2% of total)adjust: 24.0ms (24.1% of total)ival-sqrt: 18.0ms (18.1% of total)ival-add: 9.0ms (9.1% of total)ival-mult: 9.0ms (9.1% of total)ival-sub: 7.0ms (7% of total)ival-neg: 4.0ms (4% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt.f64 (fma.f64 x x x)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) |
(-.f64 (sqrt.f64 (fma.f64 x x x)) x) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ 1 x) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(+ (sqrt x) (* -1 x)) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(/ 1/16 (pow x 3)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/ -1/16 (pow x 2)) |
(/ (- (* 1/8 x) 1/16) (pow x 2)) |
(/ (- (* x (+ 1/8 (* -1/2 x))) 1/16) (pow x 2)) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/16 (pow x 2)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 2)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) |
-1/2 |
(- (* 1/8 (/ 1 x)) 1/2) |
(- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2)))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ -1/8 x) |
(/ (- (* 1/16 (/ 1 x)) 1/8) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* -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 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (+ (* -1 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 x)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
-2 |
(* -1 (+ 2 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(* -1 (* x (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (/ -1 (sqrt (+ 1 x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ 1 (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (+ 1 x) (sqrt (+ (* x x) x)) (/ (/ (- (sqrt (+ (* x x) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (+ (* x x) x)) x) x) (- (sqrt (+ (* x x) x)) x) (/ (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (neg x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (+ (sqrt x) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ 1/16 x) -1/8) x)) |
| 4.0ms | x | @ | -inf | ((/ (/ -1 (sqrt (+ 1 x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ 1 (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (+ 1 x) (sqrt (+ (* x x) x)) (/ (/ (- (sqrt (+ (* x x) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (+ (* x x) x)) x) x) (- (sqrt (+ (* x x) x)) x) (/ (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (neg x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (+ (sqrt x) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ 1/16 x) -1/8) x)) |
| 3.0ms | x | @ | 0 | ((/ (/ -1 (sqrt (+ 1 x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x)))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (/ -1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ 1 (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)))) (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x))) (+ 1 x) (sqrt (+ (* x x) x)) (/ (/ (- (sqrt (+ (* x x) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (+ (* x x) x)) x) x) (- (sqrt (+ (* x x) x)) x) (/ (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (neg x)) (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) (/ (- (sqrt (* (+ x 1) x)) x) x) (- -1/2 (/ (+ (/ 1/16 x) -1/8) x)) (+ (sqrt x) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ 1/16 x) -1/8) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 3262 |
| 1 | 2049 | 2668 |
| 2 | 6975 | 2660 |
| 0 | 8073 | 2495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ 1 x) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(+ (sqrt x) (* -1 x)) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(/ 1/16 (pow x 3)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/ -1/16 (pow x 2)) |
(/ (- (* 1/8 x) 1/16) (pow x 2)) |
(/ (- (* x (+ 1/8 (* -1/2 x))) 1/16) (pow x 2)) |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ 1/16 (pow x 2)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 2)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 3))) (+ (/ 1/16 (pow x 4)) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(* 2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) |
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) |
-1/2 |
(- (* 1/8 (/ 1 x)) 1/2) |
(- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2)))) |
(* 2 (sqrt x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/ -1/8 x) |
(/ (- (* 1/16 (/ 1 x)) 1/8) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) (pow x 2))) (* 2 (/ (pow (sqrt -1) 2) x)))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (+ (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* -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 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (+ (* -1 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 x)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
-2 |
(* -1 (+ 2 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 2 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(* -1 (* x (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(neg.f64 (+.f64 (sqrt.f64 x) x)) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt (pow x 3)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (sqrt (pow x 3))) (* 1/8 (sqrt x))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (+.f64 (sqrt.f64 x) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* x (- (* -1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (+ (* -1/2 (sqrt x)) (* x (+ 1/2 (+ (* 3/8 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* x (- (+ (* -5/16 (sqrt x)) (* -1/4 (sqrt (/ 1 x)))) 3/8))))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))) x)) x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x (sqrt.f64 x)) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (sqrt.f64 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(+ (sqrt x) (* -1 x)) |
(-.f64 (sqrt.f64 x) x) |
(+ (sqrt x) (* x (- (* 1/2 (sqrt x)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (sqrt.f64 x)) |
(+ (sqrt x) (* x (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal -1 binary64)) x (sqrt.f64 x)) |
(/ 1/16 (pow x 3)) |
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/16 (* -1/8 x)) (pow x 3)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1/16 (* x (- (* 1/2 x) 1/8))) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ -1/16 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x) |
(/ (- (* 1/8 x) 1/16) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) |
(/ (- (* x (+ 1/8 (* -1/2 x))) 1/16) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/16 binary64)) x) x) |
(+ 1 (sqrt x)) |
(+.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ (+ 1/16 (* -1/8 x)) (pow x 2)) |
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x |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))) x))) |
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x)) |
(+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))) (* -1/8 (sqrt (/ 1 x))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (pow (sqrt -1) 2)))) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (neg.f64 x))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (neg.f64 x)))) x)) (neg.f64 x))) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal 1 binary64)) #s(literal 1 binary64) x)) |
(* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (+ (* -1 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 x)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (neg.f64 x))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 1/2 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2) |
(-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 2 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x)) (neg.f64 x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) |
(* -1 (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary64) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* 1/2 (/ 1 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 1/2 (/ 1 x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(+ (* -1 (+ 1 (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 1/2) x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) |
(- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) (neg.f64 x)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 234 |
| 0 | 74 | 231 |
| 1 | 316 | 207 |
| 2 | 1993 | 207 |
| 0 | 8229 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt.f64 (fma.f64 x x x)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) |
(-.f64 (sqrt.f64 (fma.f64 x x x)) x) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x)) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))) |
(pow.f64 (*.f64 (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
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(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (log1p.f64 x)) |
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(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (pow.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
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(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) |
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(sqrt.f64 (fma.f64 x x x)) |
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(hypot.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))) |
(hypot.f64 (neg.f64 x) (sqrt.f64 x)) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (sqrt.f64 x)) x) |
(hypot.f64 (sqrt.f64 x) (neg.f64 x)) |
(hypot.f64 (sqrt.f64 x) x) |
(hypot.f64 x (neg.f64 (sqrt.f64 x))) |
(hypot.f64 x (sqrt.f64 x)) |
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x))) |
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x)) |
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(pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) x) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)) |
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(/.f64 (neg.f64 (-.f64 (fma.f64 x x x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))) |
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(/.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
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(/.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
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(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) x) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x) (-.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (hypot.f64 (sqrt.f64 x) x) x)))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) |
(+.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)) |
(*.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x))))) |
(/.f64 (-.f64 (*.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 x) x))))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) |
(*.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x))) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64))) (neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) x) |
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x))) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/512 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/128 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) x) (/.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) #s(literal -1 binary64))) |
Compiled 28 429 to 3 776 computations (86.7% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 979 | 7 | 986 |
| Fresh | 4 | 17 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 984 | 32 | 1 016 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ✓ | 8.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 98.1% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.5% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.0% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ✓ | 99.2% | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
| 97.4% | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) | |
| 37.4% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 34.3% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 34.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 98.2% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) | |
| 82.8% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 82.9% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) | |
| ✓ | 97.4% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 33.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) | |
| 97.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) | |
| 97.1% | (/.f64 #s(approx (/ -1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) | |
| ✓ | 96.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
| 96.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) | |
| 96.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ✓ | 34.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 34.4% | (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 34.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 97.3% | (*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 30.9% | #s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
| 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| 82.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| 32.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)))) |
Compiled 1 950 to 754 computations (61.3% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (* (+ x 1) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(approx (/ -1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
2 calls:
| 15.0ms | x |
| 14.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (* (+ x 1) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) (neg.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) (neg.f64 x)) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(approx (/ -1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 13.0ms | x |
| 9.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (* (+ x 1) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (* (+ x 1) x)) x) x) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
2 calls:
| 9.0ms | x |
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (* (+ x 1) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 9.0ms | x |
| 5.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | x |
| 82.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 33.3% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 32.3% | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total -17.0b remaining (-38.5%)
Threshold costs -17b (-38.5%)
| Inputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| Outputs |
|---|
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 30.9% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 238 |
| 1 | 137 | 233 |
| 2 | 249 | 231 |
| 3 | 470 | 227 |
| 4 | 1229 | 227 |
| 5 | 3043 | 227 |
| 6 | 5084 | 226 |
| 7 | 7599 | 226 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (fma.f64 #s(literal -2 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (/ (/ (- (sqrt (* (+ x 1) x)) x) x) (sqrt (+ x 1))) #s(literal 0 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 3262 |
| 1 | 2049 | 2668 |
| 2 | 6975 | 2660 |
| 0 | 8073 | 2495 |
| 0 | 613 | 2972 |
| 1 | 1843 | 2428 |
| 2 | 6257 | 2328 |
| 0 | 8101 | 2159 |
| 0 | 527 | 2756 |
| 1 | 1550 | 2285 |
| 2 | 4962 | 2252 |
| 0 | 8127 | 2116 |
| 0 | 39 | 240 |
| 0 | 66 | 218 |
| 1 | 268 | 185 |
| 2 | 1771 | 185 |
| 0 | 8320 | 176 |
| 0 | 8 | 27 |
| 0 | 14 | 27 |
| 1 | 66 | 23 |
| 2 | 565 | 23 |
| 3 | 6723 | 23 |
| 0 | 8443 | 23 |
| 0 | 155 | 667 |
| 1 | 437 | 590 |
| 2 | 1377 | 562 |
| 3 | 4678 | 549 |
| 0 | 8148 | 503 |
| 0 | 46 | 277 |
| 0 | 80 | 256 |
| 1 | 337 | 222 |
| 2 | 2929 | 222 |
| 0 | 8833 | 222 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 771 to 363 computations (52.9% saved)
Compiled 502 to 206 computations (59% saved)
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