2isqrt (example 3.6)
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 1.2s | 6 930× | 1 | valid |
| 298.0ms | 1 081× | 2 | valid |
| 19.0ms | 245× | 0 | valid |
ival-sqrt: 378.0ms (31.1% of total)ival-div: 268.0ms (22% of total)adjust: 198.0ms (16.3% of total)const: 129.0ms (10.6% of total)ival-sub: 96.0ms (7.9% of total)ival-add: 81.0ms (6.7% of total)ival->: 23.0ms (1.9% of total)ival-<: 19.0ms (1.6% of total)ival-and: 12.0ms (1% of total)exact: 8.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 180 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 180 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 180 | 0 |
| - | 0 | 76 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 180 | 0 | 0 |
| - | 0 | 0 | 76 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 90.0ms | 446× | 1 | valid |
| 22.0ms | 48× | 2 | valid |
| 1.0ms | 18× | 0 | valid |
Compiled 111 to 36 computations (67.6% saved)
ival-sqrt: 27.0ms (33.5% of total)ival-add: 26.0ms (32.2% of total)ival-div: 14.0ms (17.3% of total)adjust: 9.0ms (11.2% of total)ival-sub: 4.0ms (5% 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 |
|---|---|---|
| ▶ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 14 | 32 |
| 1 | 19 | 32 |
| 2 | 27 | 32 |
| 3 | 36 | 32 |
| 4 | 48 | 32 |
| 5 | 68 | 32 |
| 6 | 107 | 32 |
| 7 | 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 | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 39.43095477079859 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 39.0ms | 223× | 1 | valid |
| 6.0ms | 24× | 2 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-sqrt: 18.0ms (52.9% of total)ival-div: 7.0ms (20.6% of total)adjust: 4.0ms (11.8% of total)ival-add: 2.0ms (5.9% of total)ival-sub: 2.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 457 |
| 1 | 303 | 408 |
| 2 | 930 | 383 |
| 3 | 3341 | 373 |
| 0 | 8247 | 344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 66 | 19 |
| 2 | 565 | 19 |
| 3 | 6723 | 19 |
| 0 | 8443 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (hypot.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
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(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))) |
Compiled 5 943 to 730 computations (87.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 10 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 243 | 11 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (/.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)) | |
| 42.3% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 42.3% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) | |
| 42.3% | (/.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)))) | |
| ▶ | 42.3% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 8.3% | (-.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))))) |
| ▶ | 82.9% | #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))) |
| 82.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| ▶ | 67.1% | #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 445 to 286 computations (35.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 896 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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 | #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 | 358 |
| 0 | 78 | 348 |
| 1 | 134 | 344 |
| 2 | 305 | 338 |
| 3 | 855 | 334 |
| 4 | 3264 | 334 |
| 0 | 8218 | 332 |
| 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
| 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 (/.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 x)) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
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 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x 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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
#s(literal -1 binary64) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal -1 binary64) (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 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.49414205002819256 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.6634331419199515 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| accuracy | 18.8534848432755 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.21875 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.2578125 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0.4296875 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| accuracy | 56.912768558555044 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.28515625 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 28.558786789489297 | (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 39.43095477079859 | (-.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))))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.09765625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.25750248863697 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.49414205002819256 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.6676156199997697 | #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 | 10.300635254291835 | (/.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 | 18.8534848432755 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 148.0ms | 223× | 1 | valid |
| 21.0ms | 24× | 2 | valid |
| 3.0ms | 9× | 0 | valid |
Compiled 693 to 90 computations (87% saved)
ival-div: 50.0ms (37.9% of total)ival-sqrt: 21.0ms (15.9% of total)adjust: 18.0ms (13.6% of total)ival-mult: 18.0ms (13.6% of total)ival-add: 10.0ms (7.6% of total)ival-sub: 10.0ms (7.6% of total)ival-pow: 3.0ms (2.3% of total)ival-neg: 2.0ms (1.5% 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 #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))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 #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)) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* 1/2 (sqrt (/ 1 (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) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(sqrt x) |
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* 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)) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 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))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (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) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 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 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)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (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 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | 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)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1))) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1)))) (/ 1 (sqrt x)) (sqrt x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (sqrt (+ (* x x) -1)) (/ -1 (sqrt x))) |
| 7.0ms | 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)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1))) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1)))) (/ 1 (sqrt x)) (sqrt x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (sqrt (+ (* x x) -1)) (/ -1 (sqrt x))) |
| 5.0ms | 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)))) (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 x) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1))) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) -1))) (sqrt (- x 1)))) (/ 1 (sqrt x)) (sqrt x) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (- (+ x 1) x) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)))) (* x x)) (sqrt (+ (* x x) -1)) (/ -1 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 2141 |
| 1 | 1319 | 1707 |
| 2 | 4688 | 1682 |
| 0 | 8330 | 1594 |
| 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 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) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(sqrt x) |
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* -1 (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(sqrt (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(* 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)) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 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))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (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) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 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 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)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (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 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 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 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) |
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 x) |
(sqrt.f64 x) |
(* -1 (+ 1 (sqrt x))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/16 binary64)) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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) |
(/.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) |
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(+.f64 (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.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.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))) (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.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 2 (* x (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) x) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.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 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* 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 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.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))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -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)) |
(*.f64 (/.f64 (fma.f64 #s(literal 5/4 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) #s(literal -1/2 binary64)) |
(* -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)) |
(/.f64 (fma.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) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64) x)) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 0 | 78 | 233 |
| 1 | 309 | 189 |
| 2 | 2646 | 189 |
| 0 | 8385 | 189 |
| 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 #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))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 #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)) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (pow.f64 x #s(literal -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))) #s(literal -1/2 binary64)) |
(*.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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (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 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (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 -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (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 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (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 (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 -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (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 2 binary64)))) (+.f64 (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 -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (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 3 binary64)))) (fma.f64 (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 (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 -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (neg.f64 (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))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 (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 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (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 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (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 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (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 2 binary64))) (pow.f64 (+.f64 (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 -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (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 3 binary64))) (pow.f64 (fma.f64 (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 (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 -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (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 -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (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 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (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 (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 -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (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 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (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 -1/2 binary64)))) (*.f64 (+.f64 (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 -1/2 binary64))) (pow.f64 (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 2 binary64)))) (*.f64 (+.f64 (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 -1/2 binary64))) (+.f64 (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 -1/2 binary64))))) |
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(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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 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) (sqrt.f64 x)) #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 -3 binary64) (log.f64 x)) #s(literal 1/2 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 -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 -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 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 (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 -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 -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 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 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)))) |
(*.f64 #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) (*.f64 x x)))) |
(pow.f64 (/.f64 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) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) #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)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #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)))) #s(literal -1 binary64)) |
(/.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 (*.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)) (*.f64 x x)) |
(/.f64 (neg.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))) (neg.f64 x)) |
(/.f64 (neg.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))))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.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)) 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)))) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #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)))))) |
(/.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)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 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) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x x) #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)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #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))))) |
(neg.f64 (/.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)))) (*.f64 x x))) |
(neg.f64 (/.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)) (*.f64 (neg.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 x x) #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))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (hypot.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))) |
Compiled 30 977 to 3 940 computations (87.3% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 19 | 946 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 933 | 24 | 957 |
| Status | Accuracy | Program |
|---|---|---|
| 8.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) | |
| 38.3% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 42.3% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) | |
| 42.3% | (/.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)))) | |
| 39.8% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) | |
| 41.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) | |
| ▶ | 42.3% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
| 99.3% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 99.3% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
| ▶ | 38.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 38.3% | (-.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)))) | |
| 81.5% | #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/.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))) | |
| 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))) (*.f64 x x))) | |
| 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| 81.4% | #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))) |
| 97.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| 82.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| ▶ | 81.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
| 36.0% | #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))) |
| 98.5% | #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 (fma.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) | |
| 96.8% | #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 (fma.f64 #s(literal 5/4 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) #s(literal -1/2 binary64)))) |
Compiled 1 233 to 796 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) | |
| cost-diff | 320 | (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 896 | (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| cost-diff | 896 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 337 |
| 0 | 70 | 327 |
| 1 | 127 | 324 |
| 2 | 328 | 301 |
| 3 | 1044 | 295 |
| 4 | 3858 | 295 |
| 0 | 8329 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) x))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal -1 binary64) (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 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(hypot.f64 (sqrt.f64 x) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 #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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x) x)) |
(neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) | |
| accuracy | 0.4296875 | (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| accuracy | 1.116985020323605 | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) | |
| accuracy | 56.912768558555044 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.170253759768442 | (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) | |
| accuracy | 1.116985020323605 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| accuracy | 28.562693039489297 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 59.05222718246396 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.015625 | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.09765625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.552180834024292 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| accuracy | 10.311761336046022 | (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.21875 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.25750248863697 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.01171875 | (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.09765625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.2578125 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| accuracy | 0.4296875 | (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 192.0ms | 223× | 1 | valid |
| 16.0ms | 24× | 2 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 645 to 80 computations (87.6% saved)
ival-div: 27.0ms (28% of total)ival-mult: 21.0ms (21.8% of total)adjust: 13.0ms (13.5% of total)ival-sub: 13.0ms (13.5% of total)ival-sqrt: 12.0ms (12.4% of total)ival-add: 7.0ms (7.3% of total)ival-neg: 3.0ms (3.1% 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 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.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 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 x #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) 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 |
(* x (+ 1 x)) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 x) |
-1 |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))) (* -1/2 (sqrt x))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1 (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 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 (+ 1 (/ 1 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))))))) |
(* 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 (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(* -2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))) (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) (pow x 3))))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -2 (* (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 (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 (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (+ x 1) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* (- (+ x 1) x) -1) (/ (* (- (+ x 1) x) -1) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) (+ (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x)) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) |
| 5.0ms | x | @ | -inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (+ x 1) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* (- (+ x 1) x) -1) (/ (* (- (+ x 1) x) -1) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) (+ (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x)) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) |
| 3.0ms | x | @ | inf | ((* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (sqrt (/ 1 x)) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (+ x 1) (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (* (- (+ x 1) x) -1) (/ (* (- (+ x 1) x) -1) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) (+ (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x)) (* (* (neg (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 2817 |
| 1 | 1845 | 2395 |
| 2 | 6442 | 2330 |
| 0 | 8256 | 2193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) 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 |
(* x (+ 1 x)) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))) (- 1 (sqrt x)))) (* 1/16 (/ 1 (pow (- 1 (sqrt x)) 3))))))) (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt x)) 2)))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (- 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (- 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
1 |
(+ 1 x) |
-1 |
(+ 1 (sqrt x)) |
(+ 1 (+ (sqrt x) (* 1/2 x))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))) |
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) |
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) |
(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* -1/2 (sqrt (pow x 3)))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))) (* -1/2 (sqrt x))))) |
(+ (* -1 (* (sqrt x) (+ 1 (sqrt x)))) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1 (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))) (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x))))))))))) |
(* -2 x) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow x 6))) (* 1/8 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 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 (+ 1 (/ 1 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))))))) |
(* 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 (+ 1 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(* -2 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))) (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) (pow x 3))))))) |
(* 2 (* x (pow (sqrt -1) 2))) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -2 (* (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 (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 (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
| Outputs |
|---|
(* -1 (+ 1 (sqrt x))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(+ (* -1 (* x (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))) (* -1 (+ 1 (sqrt x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) x (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (* x (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))) (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x)))))))) |
(fma.f64 (neg.f64 x) (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (+ 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* 1/2 (+ 1 (sqrt x))))) (* x (+ (* -1 (* x (- (* 1/16 (+ 1 (sqrt x))) 1/16))) (* -1 (+ 1/8 (* -1/8 (+ 1 (sqrt x)))))))))) |
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/16 binary64)) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) x (-.f64 #s(literal -1 binary64) (sqrt.f64 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) |
(/.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) |
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x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
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1 |
#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
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(* -1 (* (sqrt x) (+ 1 (sqrt x)))) |
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(* -2 x) |
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(fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)) |
(* (pow x 2) (- (/ 1/8 (pow x 3)) (+ (* 2 (/ 1 x)) (* 3/2 (/ 1 (pow x 2)))))) |
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(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
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(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
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(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
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(/ (- (* -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 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 x) (*.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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
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(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(pow x 2) |
(*.f64 x x) |
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(fma.f64 x x x) |
(* 2 (sqrt (pow x 3))) |
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(* (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))))))))) |
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(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* 2 (sqrt x)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(*.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) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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))))))) |
(*.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) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 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))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 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)))) 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) |
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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))))) x) |
(* x (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) x) |
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -2 (sqrt (pow x 3))) |
(*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.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))) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))) (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) (pow x 3))))))) |
(*.f64 (fma.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))) (*.f64 x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (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 x x)) |
(* 2 (* x (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) x) |
(* (pow x 2) (- (* 2 (/ (pow (sqrt -1) 2) x)) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow x 4))) (* 2 (/ (pow (sqrt -1) 2) x))) (+ (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 3/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* 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 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 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 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (fma.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))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (neg.f64 x)))) x)) (neg.f64 x))) (*.f64 x 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 (/.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 #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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.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 (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 (/.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 (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 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x x) |
(* -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)))) |
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 x x))) #s(literal 1/2 binary64)) x) x x) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt (/ 1 x))))) x))) x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (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 1/2 binary64) (sqrt.f64 x))))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 256 |
| 0 | 70 | 245 |
| 1 | 264 | 207 |
| 2 | 2027 | 201 |
| 0 | 8750 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.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 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 x #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x))) (neg.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))))) |
(/.f64 (*.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))) |
(neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) (/.f64 (fma.f64 x x x) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))))) |
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) |
(neg.f64 (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.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))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (neg.f64 (hypot.f64 (sqrt.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (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))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(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))) (neg.f64 (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)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(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)) (neg.f64 (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))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(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))) (neg.f64 (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)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(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)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (fma.f64 x x x)) |
(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 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (hypot.f64 (sqrt.f64 x) x) x))) |
(neg.f64 (*.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
Compiled 45 401 to 5 595 computations (87.7% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 508 | 13 | 1 521 |
| Fresh | 9 | 8 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 521 | 24 | 1 545 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| 38.3% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 38.3% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 42.3% | (/.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)))) | |
| 41.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) | |
| 99.3% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 99.5% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
| 83.7% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))) | |
| 97.0% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 98.6% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) | |
| 97.0% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) | |
| 97.8% | (/.f64 #s(approx (* (- (+ x 1) x) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) | |
| 38.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 82.9% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))) | |
| ▶ | 81.4% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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))))) |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 81.4% | #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))) |
| 97.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| 82.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| ▶ | 81.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
| 36.0% | #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))) |
Compiled 1 141 to 768 computations (32.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| cost-diff | 1280 | (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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)))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| cost-diff | 0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 128 | (neg.f64 (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 356 |
| 0 | 77 | 356 |
| 1 | 129 | 353 |
| 2 | 264 | 321 |
| 3 | 593 | 319 |
| 4 | 1386 | 319 |
| 5 | 6795 | 319 |
| 0 | 8386 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x))) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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))))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #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)))) |
(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(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (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 1/2 binary64) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.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 (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) |
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 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)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) x) x) (sqrt.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) x) x) (sqrt.f64 x)) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 x) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (fma.f64 x x x))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 (sqrt.f64 (fma.f64 x x x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(sqrt.f64 (fma.f64 x 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(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.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)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #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) |
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.21550751953688402 | (/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.21875 | (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.328125 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| accuracy | 0.170253759768442 | (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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)))) | |
| accuracy | 1.116985020323605 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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))))) | |
| accuracy | 1.5463886153771111 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| accuracy | 28.562693039489297 | (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x))) | |
| accuracy | 0.40234375 | (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| accuracy | 1.552180834024292 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) | |
| accuracy | 10.311761336046022 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.22265625 | (/.f64 (sqrt.f64 x) x) | |
| accuracy | 60.25750248863697 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) | |
| accuracy | 0.0 | #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.04296875 | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.09765625 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.2578125 | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
| 140.0ms | 223× | 1 | valid |
| 18.0ms | 24× | 2 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 650 to 91 computations (86% saved)
ival-div: 37.0ms (35.9% of total)adjust: 15.0ms (14.5% of total)ival-mult: 15.0ms (14.5% of total)ival-sqrt: 13.0ms (12.6% of total)ival-add: 8.0ms (7.8% of total)ival-sub: 8.0ms (7.8% of total)ival-neg: 6.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #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)))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
(- (* -1 (sqrt x)) 1) |
(- (+ (* -1 x) (* -1 (sqrt x))) 1) |
(- (+ (* -1 (sqrt x)) (* x (- (* -1/2 (sqrt x)) 1))) 1) |
(- (+ (* -1 (sqrt x)) (* x (- (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt x)))) 1))) 1) |
-1 |
(- (* -1 x) 1) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 (- (* -1 (sqrt x)) 1)))) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* -1 (* (sqrt (pow x 3)) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))))))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* x (+ (* -1 (* (sqrt x) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))))) (* (sqrt (pow x 3)) (+ (* -1 (/ (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) (- (* -1 (sqrt x)) 1))) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 3))))))))))) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
x |
(* x (+ 1 x)) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* 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))))) |
(+ (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 (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2))))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* x (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1 (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* (sqrt (pow x 3)) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (+ (* 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)) 2))))))))))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ 1 (sqrt 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)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3/2 (/ 1 x))))) |
(* x (- (/ 1/8 (pow x 2)) (+ 2 (* 3/2 (/ 1 x))))) |
(* x (- (/ 1/8 (pow x 2)) (+ 2 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 5/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -35/128 (sqrt (/ 1 (pow x 7)))) (+ (* 5/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* x (- (/ 1 x) 1)) |
(/ (+ (* -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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 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 (+ 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) |
(/ (- (* 1/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 1/8 x) (+ 1/2 (* 1/16 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* (sqrt (/ 1 (pow x 13))) (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7))))) (/ 1/8 x)) (+ 1/2 (* 1/16 (/ 1 (pow x 2))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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) |
(* 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 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (pow (sqrt -1) 2)) (* 3/2 (/ 1 x)))))) |
(* -1 (* x (+ 1 (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 3/2 (/ 1 x))))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 3/2) x)) (* -1 (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2))))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))))))) x))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (+ (* -3/2 (/ (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2))))) (+ 1 (* -1 (pow (sqrt -1) 2))))) (* 3/16 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3))))))))) x))) x))) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* 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)))) |
(/ 1/2 (* x (pow (sqrt -1) 2))) |
(/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x) |
(* -1 (/ (- (/ -1/8 (* x (pow (sqrt -1) 4))) (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7))))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) 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)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (neg (+ 1 x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x)))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt x)) (* x x)) (/ (- 1 x) (sqrt x)) (- 1 x) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (sqrt (* (+ x 1) x)) (/ (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg (sqrt (+ 1 x)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* -1/2 (/ (/ (- 1 x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) |
| 4.0ms | x | @ | 0 | ((+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (neg (+ 1 x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x)))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt x)) (* x x)) (/ (- 1 x) (sqrt x)) (- 1 x) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (sqrt (* (+ x 1) x)) (/ (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg (sqrt (+ 1 x)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* -1/2 (/ (/ (- 1 x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) |
| 3.0ms | x | @ | inf | ((+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (neg (+ 1 x)) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x)))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt x)) (* x x)) (/ (- 1 x) (sqrt x)) (- 1 x) (/ 1 (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x)))) (* (+ x 1) x) (/ (sqrt (* (+ x 1) x)) (- (sqrt (+ x 1)) (sqrt x))) (sqrt (* (+ x 1) x)) (/ (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg (sqrt (+ 1 x)))) (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (* (- (+ x 1) x) (/ -1 (sqrt x))) (/ -1 (sqrt x)) (sqrt (/ 1 x)) (* -1/2 (/ (/ (- 1 x) (sqrt x)) (* x x))) (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 698 | 3337 |
| 1 | 2117 | 2783 |
| 2 | 7381 | 2762 |
| 0 | 8043 | 2624 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* -1 (sqrt x)) 1) |
(- (+ (* -1 x) (* -1 (sqrt x))) 1) |
(- (+ (* -1 (sqrt x)) (* x (- (* -1/2 (sqrt x)) 1))) 1) |
(- (+ (* -1 (sqrt x)) (* x (- (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt x)))) 1))) 1) |
-1 |
(- (* -1 x) 1) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 (- (* -1 (sqrt x)) 1)))) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* -1 (* (sqrt (pow x 3)) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))))))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* x (+ (* -1 (* (sqrt x) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))))) (* (sqrt (pow x 3)) (+ (* -1 (/ (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) (- (* -1 (sqrt x)) 1))) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 3))))))))))) x) |
(* -1 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(sqrt (/ 1 (pow x 5))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
x |
(* x (+ 1 x)) |
(* (sqrt x) (/ 1 (- 1 (sqrt x)))) |
(+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (- 1 (sqrt x))))) |
(+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt x)) 2)))) (* 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))))) |
(+ (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 (/ 1 x)) (/ 1 (+ 1 (sqrt x)))) |
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2))))))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) (* x (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1 (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* (sqrt (pow x 3)) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (+ (* 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)) 2))))))))))) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(+ 1 (sqrt 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)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3/2 (/ 1 x))))) |
(* x (- (/ 1/8 (pow x 2)) (+ 2 (* 3/2 (/ 1 x))))) |
(* x (- (/ 1/8 (pow x 2)) (+ 2 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* 5/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -35/128 (sqrt (/ 1 (pow x 7)))) (+ (* 5/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(* -1 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))) x) |
(* -1 (sqrt x)) |
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))) |
(* x (- (/ 1 x) 1)) |
(/ (+ (* -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)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 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 (+ 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) |
(/ (- (* 1/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 1/8 x) (+ 1/2 (* 1/16 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* (sqrt (/ 1 (pow x 13))) (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7))))) (/ 1/8 x)) (+ 1/2 (* 1/16 (/ 1 (pow x 2))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) 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) |
(* 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 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (pow (sqrt -1) 2)) (* 3/2 (/ 1 x)))))) |
(* -1 (* x (+ 1 (+ (* -1 (pow (sqrt -1) 2)) (+ (/ 1/8 (* (pow x 2) (pow (sqrt -1) 2))) (* 3/2 (/ 1 x))))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/8 (/ 1 (pow (sqrt -1) 2)))) x)) 3/2) x)) (* -1 (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2))))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))))))) x))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2)))) (+ (* -3/2 (/ (- (* 9/4 (/ 1 (* (sqrt -1) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2))))) (+ 1 (* -1 (pow (sqrt -1) 2))))) (* 3/16 (/ 1 (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3))))))))) x))) x))) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))) x)) |
(* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))) |
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (sqrt x))) x)) (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))) |
(* -1 (* 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)))) |
(/ 1/2 (* x (pow (sqrt -1) 2))) |
(/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x) |
(* -1 (/ (- (/ -1/8 (* x (pow (sqrt -1) 4))) (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7))))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) 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)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
| Outputs |
|---|
(- (* -1 (sqrt x)) 1) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(- (+ (* -1 x) (* -1 (sqrt x))) 1) |
(-.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) x) |
(- (+ (* -1 (sqrt x)) (* x (- (* -1/2 (sqrt x)) 1))) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(- (+ (* -1 (sqrt x)) (* x (- (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt x)))) 1))) 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 (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* (sqrt (/ 1 x)) (/ 1 (- (* -1 (sqrt x)) 1)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) x) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* -1 (* (sqrt (pow x 3)) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))))))))) x) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x) |
(/ (+ (* -1 (* (sqrt x) (/ 1 (- (* -1 (sqrt x)) 1)))) (* x (+ (* -1 (* (sqrt x) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2)))) (* x (+ (* -1 (* (sqrt x) (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))))) (* (sqrt (pow x 3)) (+ (* -1 (/ (- (/ 1 (pow (- (* -1 (sqrt x)) 1) 3)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 2))))) (- (* -1 (sqrt x)) 1))) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* -1 (sqrt x)) 1) 3))))))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 x)))) x (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.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 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x) |
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 #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) |
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x |
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(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal -1/2 binary64)) x) |
(* -1 (/ (- (/ -1/8 (* x (pow (sqrt -1) 4))) (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal -1/2 binary64)) (/.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 (/ (- (+ (* (sqrt (/ 1 (pow x 13))) (* (sqrt -1) (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 7))))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal -1/2 binary64)) (/.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)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.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)) |
(* -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 (/.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 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 289 |
| 0 | 77 | 285 |
| 1 | 309 | 253 |
| 2 | 2258 | 253 |
| 0 | 8573 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #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)))) |
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(/.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))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x)))) |
(/.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))))) |
(neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (fma.f64 x x x) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (-.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) #s(literal 0 binary64)) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(-.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal -1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) |
(+.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x (neg.f64 (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) x) |
(+.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (neg.f64 x)) |
(*.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) (fma.f64 x x x))) |
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
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(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 x) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 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 (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 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (sqrt.f64 x)) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (+.f64 x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)))) |
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) |
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)) |
(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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(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 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (-.f64 #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 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (sqrt.f64 x)) |
(fma.f64 x (pow.f64 x #s(literal -1/2 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)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.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 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 28 385 to 3 659 computations (87.1% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 866 | 11 | 877 |
| Fresh | 7 | 9 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 877 | 24 | 901 |
| Status | Accuracy | Program |
|---|---|---|
| 97.0% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| 38.3% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 38.3% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 41.4% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) | |
| 98.7% | (/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 97.3% | (/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 99.5% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 99.5% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) | |
| 83.7% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))) | |
| 99.0% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64))))) | |
| 98.6% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) | |
| 97.0% | (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) | |
| 97.8% | (/.f64 #s(approx (* (- (+ x 1) x) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) | |
| 38.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 95.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) | |
| ✓ | 38.3% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| 81.4% | #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))) |
| 97.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| 71.9% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) | |
| 36.0% | #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))) |
Compiled 2 038 to 686 computations (66.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(-.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 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/.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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 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(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 binary64) (/.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 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 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.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 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(approx (+ (sqrt x) (sqrt (+ x 1))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 #s(approx (* (- (+ x 1) x) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#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 (fma.f64 #s(literal 5/4 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) #s(literal -1/2 binary64)))) |
#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 (fma.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 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))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 13.0ms | x |
| 12.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(-.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 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/.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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 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(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 binary64) (/.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 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 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(-.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 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/.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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 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(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 x #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 binary64) (/.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 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (+.f64 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 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x) #s(literal 3/2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64))))) |
2 calls:
| 20.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(-.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 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
#s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1))))) (/.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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 6.0ms | 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 |
|---|---|---|
| 98.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.7% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (*.f64 x x)))) |
(-.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 #s(approx (sqrt (* (+ x 1) x)) x) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
2 calls:
| 5.0ms | 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 |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (sqrt (/ 1 x)) (+ (* (+ (* 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 (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (*.f64 #s(literal -2 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#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:
| 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 |
|---|---|---|
| 81.4% | 1 | x |
| 81.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | x |
| 36.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 5.8% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 269 |
| 1 | 157 | 269 |
| 2 | 313 | 249 |
| 3 | 737 | 229 |
| 4 | 2091 | 227 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64))))) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64))))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64))))) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (+ (sqrt x) (sqrt (+ x 1))) (neg (sqrt (+ x 1)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (* (- (+ x 1) x) (/ -1 (sqrt x))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) #s(approx (+ (* (sqrt (+ 1 x)) (neg (sqrt x))) (neg (+ 1 x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3/2 binary64)))) |
(/.f64 #s(approx (/ (* (- (+ x 1) x) (/ -1 (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#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))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 457 |
| 1 | 303 | 408 |
| 2 | 930 | 383 |
| 3 | 3341 | 373 |
| 0 | 8247 | 344 |
| 0 | 8 | 23 |
| 0 | 14 | 23 |
| 1 | 66 | 19 |
| 2 | 565 | 19 |
| 3 | 6723 | 19 |
| 0 | 8443 | 19 |
| 0 | 431 | 2141 |
| 1 | 1319 | 1707 |
| 2 | 4688 | 1682 |
| 0 | 8330 | 1594 |
| 0 | 576 | 2817 |
| 1 | 1845 | 2395 |
| 2 | 6442 | 2330 |
| 0 | 8256 | 2193 |
| 0 | 46 | 256 |
| 0 | 78 | 233 |
| 1 | 309 | 189 |
| 2 | 2646 | 189 |
| 0 | 8385 | 189 |
| 0 | 698 | 3337 |
| 1 | 2117 | 2783 |
| 2 | 7381 | 2762 |
| 0 | 8043 | 2624 |
| 0 | 47 | 289 |
| 0 | 77 | 285 |
| 1 | 309 | 253 |
| 2 | 2258 | 253 |
| 0 | 8573 | 242 |
| 0 | 42 | 256 |
| 0 | 70 | 245 |
| 1 | 264 | 207 |
| 2 | 2027 | 201 |
| 0 | 8750 | 190 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 760 to 393 computations (48.3% saved)
Compiled 578 to 196 computations (66.1% saved)
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