
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 1.4s | 6 914× | 1 | valid |
| 207.0ms | 1 069× | 2 | valid |
| 21.0ms | 273× | 0 | valid |
ival-sqrt: 444.0ms (32.1% of total)const: 255.0ms (18.5% of total)ival-div: 226.0ms (16.4% of total)adjust: 168.0ms (12.2% of total)ival-sub: 97.0ms (7% of total)ival-add: 90.0ms (6.5% of total)ival-<: 56.0ms (4.1% of total)ival->: 25.0ms (1.8% of total)ival-and: 11.0ms (0.8% of total)exact: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 172 | 1 | (1.5485178787520437e+215) | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 173 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 172 | 0 |
| - | 1 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 172 | 0 | 0 |
| - | 1 | 0 | 83 |
| number | freq |
|---|---|
| 0 | 83 |
| 1 | 173 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 424× | 1 | valid |
| 21.0ms | 64× | 2 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 111 to 36 computations (67.6% saved)
ival-sqrt: 17.0ms (29.7% of total)ival-div: 15.0ms (26.2% of total)adjust: 9.0ms (15.7% of total)ival-add: 7.0ms (12.2% of total)ival-sub: 7.0ms (12.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 20 | 25 |
| 2 | 47 | 24 |
| 3 | 89 | 24 |
| 4 | 144 | 24 |
| 5 | 209 | 24 |
| 6 | 245 | 24 |
| 7 | 272 | 24 |
| 8 | 281 | 24 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 36 | 11 |
| 4 | 48 | 11 |
| 5 | 68 | 11 |
| 6 | 107 | 11 |
| 7 | 139 | 11 |
| 8 | 195 | 11 |
| 9 | 224 | 11 |
| 10 | 245 | 11 |
| 11 | 247 | 11 |
| 0 | 247 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 14 | 32 |
| 1 | 19 | 32 |
| 2 | 27 | 32 |
| 3 | 36 | 32 |
| 4 | 48 | 32 |
| 5 | 68 | 32 |
| 6 | 107 | 32 |
| 7 | 139 | 32 |
| 8 | 195 | 32 |
| 9 | 224 | 32 |
| 10 | 245 | 32 |
| 11 | 247 | 32 |
| 0 | 247 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 37.431166814673574 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 38.0ms | 212× | 1 | valid |
| 9.0ms | 32× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-sqrt: 18.0ms (47.5% of total)ival-div: 8.0ms (21.1% of total)adjust: 7.0ms (18.5% of total)ival-add: 2.0ms (5.3% of total)ival-sub: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 2.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 667 |
| 1 | 437 | 590 |
| 2 | 1370 | 562 |
| 3 | 4606 | 557 |
| 0 | 8302 | 506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (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)))) |
(* -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)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) #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 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.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))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 14 | 27 |
| 1 | 66 | 23 |
| 2 | 565 | 23 |
| 3 | 6719 | 23 |
| 0 | 8113 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (hypot.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (pow.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -9 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
Compiled 7 191 to 954 computations (86.7% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 13 | 318 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 305 | 14 | 319 |
| Status | Accuracy | Program |
|---|---|---|
| 41.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) | |
| ▶ | 41.5% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 43.8% | (/.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)))))) | |
| 43.8% | (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 43.8% | (/.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)))) | |
| 43.8% | (/.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)))))) | |
| ▶ | 41.5% | (/.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))) |
| 41.5% | (/.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))))) | |
| ✓ | 41.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) | |
| ▶ | 83.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
| 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| ▶ | 67.2% | #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 543 to 348 computations (35.9% 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 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 768 | (/.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))) | |
| cost-diff | 1152 | (*.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))))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 640 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 832 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) 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 | (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 | (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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 312 |
| 0 | 63 | 309 |
| 1 | 95 | 306 |
| 2 | 171 | 305 |
| 3 | 475 | 296 |
| 4 | 1411 | 295 |
| 5 | 3667 | 295 |
| 6 | 4870 | 295 |
| 7 | 6175 | 295 |
| 8 | 7658 | 295 |
| 0 | 8034 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (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 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#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 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal -1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (-.f64 (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #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 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 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)))) (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) |
x |
#s(literal 1 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) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 x x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.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 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.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)))) #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 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(neg.f64 (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.7216488814563498 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 2.1891402112190974 | #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 | 17.85046669423085 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.2109375 | (/.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))) | |
| accuracy | 0.33203125 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.47494125976844204 | (*.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))))) | |
| accuracy | 58.584189378493875 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.30078125 | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 58.584189378493875 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 60.27388159542999 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.7216488814563498 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 1.435537720839525 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) | |
| accuracy | 9.177708969173358 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) | |
| accuracy | 17.85046669423085 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 105.0ms | 212× | 1 | valid |
| 19.0ms | 32× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 595 to 76 computations (87.2% saved)
ival-mult: 26.0ms (27.5% of total)ival-div: 23.0ms (24.4% of total)adjust: 15.0ms (15.9% of total)ival-sqrt: 11.0ms (11.7% of total)ival-add: 9.0ms (9.5% of total)ival-sub: 4.0ms (4.2% of total)ival-pow: 3.0ms (3.2% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% 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 (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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (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))) |
#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 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2)) |
(/ 1 x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 1 (pow x 3)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 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 (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (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 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (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)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ -1 (sqrt (+ x 1)))) |
| 5.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ -1 (sqrt (+ x 1)))) |
| 3.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ -1 (sqrt (+ x 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 2249 |
| 1 | 1363 | 1852 |
| 2 | 4315 | 1777 |
| 0 | 8891 | 1656 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) |
(sqrt (/ 1 (pow x 3))) |
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2)) |
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2)) |
(/ 1 x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 1 (pow x 3)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 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 (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (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 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(* -1 (sqrt (/ 1 x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (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)) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
| Outputs |
|---|
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/.f64 (-.f64 (sqrt.f64 x) x) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (sqrt.f64 x)) x) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) x)) (*.f64 x x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 x x)) |
(/ (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* 1/4 (sqrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x (sqrt.f64 x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (- 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 -1/2 binary64) (sqrt.f64 x)) x (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x (*.f64 #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 (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -3/8 x))) 1) |
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.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)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x) |
(/.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64))) x) |
(* 1/2 (sqrt x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
(*.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64))) x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/4 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 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 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) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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)))) 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 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (+.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 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) |
(* -1 (sqrt (/ 1 x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x))))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 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)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -5/8 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))) x)) (neg.f64 x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -5/8 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))) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/4 (* (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 (-.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))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) x)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64))) x) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 x x))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/2 binary64))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x)) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 #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.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 232 |
| 0 | 63 | 213 |
| 1 | 238 | 177 |
| 2 | 1836 | 177 |
| 0 | 9071 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)) |
(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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (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))) |
#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 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #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) (sqrt.f64 x))))) |
(*.f64 (/.f64 (fma.f64 #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) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #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) (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))) (*.f64 x x)) (/.f64 (fma.f64 #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) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) x) (/.f64 (pow.f64 (fma.f64 #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 -1/2 binary64)))) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) x) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #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 -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/8 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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 #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) (sqrt.f64 x))) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 #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) (sqrt.f64 x))) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #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) (sqrt.f64 x))) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 #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) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #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) (sqrt.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 #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) (sqrt.f64 x)))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #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) (sqrt.f64 x)))) (/.f64 (fma.f64 #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 -1/2 binary64)))) (fma.f64 #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 -1/2 binary64)))))) |
(*.f64 (fma.f64 #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) (sqrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #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) (sqrt.f64 x))) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #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) (sqrt.f64 x))))) |
(pow.f64 (/.f64 x (/.f64 (fma.f64 #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) (sqrt.f64 x))) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 #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) (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 #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) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (fma.f64 #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 -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #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) (sqrt.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #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) (sqrt.f64 x))) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #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) (sqrt.f64 x)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #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 -1/2 binary64)))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #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 -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 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)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #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 (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 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 #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) (sqrt.f64 x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (fma.f64 (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 1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #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 -1/2 binary64))))))) |
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(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x 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 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.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 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
Compiled 45 386 to 5 147 computations (88.7% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 404 | 19 | 1 423 |
| Fresh | 7 | 1 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 415 | 22 | 1 437 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.8% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 8.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 43.8% | (/.f64 (/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 97.5% | (/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 43.8% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 43.8% | (/.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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) | |
| ▶ | 97.6% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 96.5% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 97.4% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
| 96.3% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) | |
| ✓ | 41.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 43.8% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 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))) |
| 96.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
| 68.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 97.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) | |
| 96.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
Compiled 1 047 to 692 computations (33.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 704 | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 284 |
| 0 | 72 | 280 |
| 1 | 114 | 278 |
| 2 | 213 | 268 |
| 3 | 432 | 262 |
| 4 | 897 | 260 |
| 5 | 2005 | 260 |
| 6 | 4203 | 259 |
| 7 | 6474 | 259 |
| 0 | 8074 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#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 |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x 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) |
(sqrt.f64 x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) 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) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) | |
| accuracy | 0.109375 | (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x) | |
| accuracy | 0.20703125 | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 57.56120055242123 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.8395441640245567 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 2.091238129113507 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) | |
| accuracy | 8.118791311172567 | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.2109375 | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) | |
| accuracy | 1.457816423918752 | #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 60.27388159542999 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) | |
| accuracy | 0.00390625 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 1.351235561916566 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
| 245.0ms | 212× | 1 | valid |
| 21.0ms | 32× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 522 to 84 computations (83.9% saved)
ival-div: 35.0ms (39.4% of total)adjust: 15.0ms (16.9% of total)ival-sub: 12.0ms (13.5% of total)ival-mult: 10.0ms (11.2% of total)ival-sqrt: 9.0ms (10.1% of total)ival-add: 5.0ms (5.6% of total)ival-neg: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ -1/8 (pow x 2)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/ -1/8 x) |
(/ (- (* 1/2 x) 1/8) x) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 3/8 (pow x 2)) |
(/ (+ 3/8 (* -1/2 x)) (pow x 2)) |
(/ 3/8 x) |
(/ (+ 3/8 (* -1/2 x)) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(pow x 2) |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
1 |
(- (sqrt (/ 1 x)) 1) |
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ 1 x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ x (sqrt x)) |
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
-1/2 |
(- (* 3/8 (/ 1 x)) 1/2) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1))) |
(* -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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x) (- (/ 3/8 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (* x x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (- (+ x 1) x) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (sqrt (+ x 1)) (sqrt (/ 1 x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) |
| 5.0ms | x | @ | 0 | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x) (- (/ 3/8 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (* x x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (- (+ x 1) x) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (sqrt (+ x 1)) (sqrt (/ 1 x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) |
| 3.0ms | x | @ | inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (neg (sqrt x))) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x) (- (/ 3/8 x) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 (* x x)) (- (sqrt (/ 1 x)) (sqrt x))) (/ -1/2 (* x x)) (* x x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (- (+ x 1) x) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (sqrt (+ x 1)) (sqrt (/ 1 x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 582 | 2529 |
| 1 | 1709 | 1822 |
| 2 | 5809 | 1802 |
| 0 | 8170 | 1691 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ -1/8 (pow x 2)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/ -1/8 x) |
(/ (- (* 1/2 x) 1/8) x) |
(sqrt (/ 1 x)) |
(/ (+ (sqrt x) (* -1 x)) x) |
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) |
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) |
(sqrt x) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 3/8 (pow x 2)) |
(/ (+ 3/8 (* -1/2 x)) (pow x 2)) |
(/ 3/8 x) |
(/ (+ 3/8 (* -1/2 x)) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(pow x 2) |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
1 |
(- (sqrt (/ 1 x)) 1) |
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ 1 x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ x (sqrt x)) |
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
-1/2 |
(- (* 3/8 (/ 1 x)) 1/2) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1))) |
(* -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))) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 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 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(/ -1/8 x) |
(/.f64 #s(literal -1/8 binary64) x) |
(/ (- (* 1/2 x) 1/8) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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) |
(* -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 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x (fma.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) 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 (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)))) x (fma.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) x (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/ 3/8 (pow x 2)) |
(/.f64 (/.f64 #s(literal 3/8 binary64) x) x) |
(/ (+ 3/8 (* -1/2 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 3/8 binary64)) x) x) |
(/ 3/8 x) |
(/.f64 #s(literal 3/8 binary64) x) |
(/ (+ 3/8 (* -1/2 x)) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 3/8 binary64)) x) |
(* -1/2 (sqrt (/ 1 (pow x 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.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 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x #s(literal 1/2 binary64))) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (neg.f64 x)) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x)) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (+.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) (neg.f64 x)))) x)) (neg.f64 x))) (neg.f64 x)) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) (/.f64 #s(literal 1/128 binary64) x))) x)) x)) (neg.f64 x)) |
(* -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) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))))) |
(*.f64 (-.f64 #s(literal -2 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)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x (*.f64 #s(literal 2 binary64) 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)) 1))) |
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 238 |
| 0 | 72 | 238 |
| 1 | 294 | 207 |
| 2 | 2402 | 207 |
| 0 | 8819 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) |
(*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal -1 binary64))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 8 binary64)))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x (/.f64 #s(literal -1/8 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 (neg.f64 x) x))) |
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(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (*.f64 x x))) (*.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 x)) x) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) x) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) x) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) x) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64)) x) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(fma.f64 x #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) |
(+.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) |
Compiled 32 019 to 3 943 computations (87.7% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 102 | 12 | 1 114 |
| Fresh | 7 | 8 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 112 | 24 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 41.8% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 43.8% | (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x)) | |
| 8.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 43.8% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 43.8% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 43.8% | (/.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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) | |
| 96.5% | (/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 97.3% | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
| ✓ | 97.4% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
| 32.8% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) x))) (neg.f64 (sqrt.f64 x))) | |
| 96.3% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) | |
| ▶ | 96.1% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
| ✓ | 41.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.3% | (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) | |
| 96.3% | #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)) | |
| ▶ | 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| ▶ | 68.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 96.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
Compiled 1 095 to 716 computations (34.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 384 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 462 |
| 0 | 106 | 458 |
| 1 | 169 | 439 |
| 2 | 274 | 427 |
| 3 | 525 | 418 |
| 4 | 1019 | 415 |
| 5 | 1764 | 415 |
| 6 | 3370 | 412 |
| 7 | 5103 | 409 |
| 8 | 6393 | 409 |
| 9 | 7565 | 409 |
| 0 | 8087 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(*.f64 x x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 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(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #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 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #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 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 3/8 binary64) x) |
#s(literal 3/8 binary64) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.244472509768442 | (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) | |
| accuracy | 0.9161435045977696 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) | |
| accuracy | 1.457816423918752 | #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 2.1891402112190974 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) | |
| accuracy | 17.85046669423085 | (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.20703125 | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 1.3039186833363514 | #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) | |
| accuracy | 57.56120055242123 | (-.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 1.435537720839525 | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| accuracy | 2.197388323867769 | #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 9.177708969173358 | (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) | |
| accuracy | 0.20703125 | (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) | |
| accuracy | 0.51171875 | (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) | |
| accuracy | 0.5319137695368841 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) | |
| accuracy | 1.351235561916566 | #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
| 163.0ms | 212× | 1 | valid |
| 29.0ms | 32× | 2 | valid |
| 6.0ms | 12× | 0 | valid |
Compiled 815 to 137 computations (83.2% saved)
ival-div: 61.0ms (38.1% of total)ival-mult: 30.0ms (18.8% of total)adjust: 23.0ms (14.4% of total)ival-sqrt: 18.0ms (11.3% of total)ival-add: 13.0ms (8.1% of total)ival-sub: 9.0ms (5.6% of total)ival-pow: 3.0ms (1.9% of total)ival-neg: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ -1/8 (pow x 2)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/ -1/8 x) |
(/ (- (* 1/2 x) 1/8) 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) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) |
(* 1/2 (sqrt x)) |
1 |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
(- (sqrt (/ 1 x)) 1) |
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ 1 x) |
(sqrt (/ 1 (pow x 3))) |
(/ -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 (sqrt x)) |
(sqrt x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (sqrt x) (sqrt (pow x 3))) x) |
(+ x (sqrt x)) |
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 3)) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 3/8 (pow x 2)) |
(/ (+ 3/8 (* -1/2 x)) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
x |
(* x (+ 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 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (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))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1))) |
(* -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))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt x)) (- (+ x 1) x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (* (/ -1 x) (/ (/ -1 x) x))) 1/2) (sqrt (* (/ -1 x) (/ (/ -1 x) x))) (/ -1 x) (/ 1 (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))))) (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1))))) (neg (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x)))) (/ (+ 1 x) (sqrt x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x) (/ (/ -1 x) x) (* (/ -1 x) (/ (/ -1 x) x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x)) |
| 4.0ms | x | @ | 0 | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt x)) (- (+ x 1) x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (* (/ -1 x) (/ (/ -1 x) x))) 1/2) (sqrt (* (/ -1 x) (/ (/ -1 x) x))) (/ -1 x) (/ 1 (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))))) (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1))))) (neg (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x)))) (/ (+ 1 x) (sqrt x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x) (/ (/ -1 x) x) (* (/ -1 x) (/ (/ -1 x) x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x)) |
| 3.0ms | x | @ | inf | ((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (- 1/2 (/ 1/8 x)) x) (- 1/2 (/ 1/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt x)) (- (+ x 1) x) (/ (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (sqrt (+ x 1))) (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (* (/ -1 x) (/ (/ -1 x) x))) 1/2) (sqrt (* (/ -1 x) (/ (/ -1 x) x))) (/ -1 x) (/ 1 (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))))) (/ (neg (sqrt x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1))))) (neg (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) (sqrt (/ (+ 1 x) (sqrt x)))) (/ (+ 1 x) (sqrt x)) (+ (* (sqrt (+ x 1)) (sqrt x)) x) (/ (/ -1 x) x) (* (/ -1 x) (/ (/ -1 x) x)) (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/ (- (/ 3/8 x) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 711 | 3366 |
| 1 | 2142 | 2500 |
| 2 | 7422 | 2498 |
| 0 | 8370 | 2352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/ -1/8 (pow x 2)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/ -1/8 x) |
(/ (- (* 1/2 x) 1/8) 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) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) |
(* 1/2 (sqrt x)) |
1 |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
(- (sqrt (/ 1 x)) 1) |
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(+ 1 x) |
(sqrt (/ 1 (pow x 3))) |
(/ -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 (sqrt x)) |
(sqrt x) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (sqrt x) (sqrt (pow x 3))) x) |
(+ x (sqrt x)) |
(+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 3)) |
(* -1 (- 1 (sqrt x))) |
(+ (* -1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (* -1 (- 1 (sqrt x)))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (* x (- (* 3/8 (- 1 (sqrt x))) 3/8))) (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x)))))))) |
(+ (* -1 (- 1 (sqrt x))) (* x (+ (* -1 (+ 1/2 (* -1/2 (- 1 (sqrt x))))) (* x (+ (* -1 (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) (* -1 (- (* 3/8 (- 1 (sqrt x))) 3/8))))))) |
(/ 3/8 (pow x 2)) |
(/ (+ 3/8 (* -1/2 x)) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)) |
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x) |
(/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x) |
1/2 |
(- 1/2 (* 1/8 (/ 1 x))) |
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) |
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) |
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x) |
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x) |
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x) |
x |
(* x (+ 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 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) |
(/ -1/2 x) |
(/ (- (* 3/8 (/ 1 x)) 1/2) x) |
(/ (- (/ 3/8 x) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (* x (+ 1 (* 1/4 x)))) (* 1/8 (pow x 2))) (pow x 4))) (/ 3/8 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) x) |
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)) |
(/ -1/2 (* x (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* 1/8 (/ 1 (* x (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x)) |
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)) |
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x)) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x)) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (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))))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (pow (sqrt -1) 2) (+ 1 (* 1/2 (/ 1 x)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 1))) |
(* -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))) |
(/ (+ 1/2 (* 3/8 (/ 1 (* x (pow (sqrt -1) 2))))) x) |
(* -1 (/ (- (+ (/ -3/8 (* x (pow (sqrt -1) 2))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* 1/8 (/ x (pow (sqrt -1) 4))) (* 1/4 (/ (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (pow x 3))) (/ -3/8 (* x (pow (sqrt -1) 2)))) 1/2) x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
| Outputs |
|---|
(* (sqrt (/ 1 x)) (- 1 (sqrt x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 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 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ (- (* 1/2 x) 1/8) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(/ -1/8 x) |
(/.f64 #s(literal -1/8 binary64) x) |
(/ (- (* 1/2 x) 1/8) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 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) |
(* 1/2 (sqrt (/ 1 (pow x 7)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4)) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x) |
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (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 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* 1/2 (sqrt x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x)))) |
(fma.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (fma.f64 (*.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) x)) (/.f64 #s(literal 3/8 binary64) x)))) x (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))) x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (sqrt (/ 1 x)) 1) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
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1/2 |
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x |
(* x (+ 1 (/ 1 x))) |
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(* 2 (sqrt (pow x 3))) |
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(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- 1/2 (* 3/8 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 406 |
| 0 | 106 | 395 |
| 1 | 442 | 345 |
| 2 | 3513 | 344 |
| 0 | 9936 | 335 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(-.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
#s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) |
(*.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))) |
(/.f64 (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (*.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (pow.f64 x #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))) #s(literal -1 binary64))) |
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) x))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 8 binary64)))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x (/.f64 #s(literal -1/8 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) x))) x) (*.f64 x (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 8 binary64)))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) x))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 8 binary64)))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (neg.f64 x))) |
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(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) x)) x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) x)) (/.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) x) (neg.f64 x)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1/2 binary64))) (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) (neg.f64 x))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 x (/.f64 #s(literal 3/8 binary64) x)) (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) (neg.f64 x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) (/.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 3/16 binary64) x) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 3/16 binary64) x) #s(literal 1/4 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 3/16 binary64) x) #s(literal 1/4 binary64))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) x) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (*.f64 x (fma.f64 #s(literal 9/64 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 3/16 binary64) x) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 3/8 binary64) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 3/8 binary64) x) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
Compiled 41 568 to 5 018 computations (87.9% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 171 | 7 | 1 178 |
| Fresh | 3 | 12 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 179 | 23 | 1 202 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 43.8% | (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x)) | |
| 41.8% | (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) | |
| 8.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 97.7% | (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 43.8% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) | |
| 43.8% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 41.8% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 41.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 43.8% | (/.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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) | |
| 96.5% | (/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 96.3% | (/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) | |
| ✓ | 41.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 41.8% | (*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 97.3% | (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) | |
| 96.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) | |
| ✓ | 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
| 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) | |
| 95.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 82.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| ✓ | 5.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 1 887 to 634 computations (66.4% 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 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) 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(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (*.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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (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 3 binary64)))) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
2 calls:
| 18.0ms | x |
| 10.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 99.9% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) 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(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 8/3 binary64))) x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) |
(/.f64 (*.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 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (-.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 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) |
2 calls:
| 24.0ms | x |
| 9.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) 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(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 11.0ms | 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 |
|---|---|---|
| 99.7% | 2 | x |
| 99.7% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) 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(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
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 |
|---|---|---|
| 99.3% | 2 | x |
| 99.3% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) 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(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#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 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 55.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 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 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (+ x 1) x) (+ (* (sqrt (+ x 1)) (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | x |
| 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 |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 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 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (/ 3/8 x) 1/2) #s(literal -1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 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 |
|---|---|---|
| 96.3% | 1 | x |
| 96.3% | 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 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 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 (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.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 |
|---|---|---|
| 82.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 82.3% | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1.0ms | x |
| 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.617444900424221e-23 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.617444900424221e-23 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.617444900424221e-23 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8829773185873606e-10 | 1.4998105040461146e-8 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 413 |
| 1 | 126 | 413 |
| 2 | 165 | 409 |
| 3 | 213 | 409 |
| 4 | 290 | 409 |
| 5 | 385 | 409 |
| 6 | 453 | 409 |
| 7 | 521 | 409 |
| 8 | 610 | 409 |
| 9 | 683 | 409 |
| 10 | 745 | 409 |
| 11 | 815 | 409 |
| 12 | 894 | 409 |
| 13 | 975 | 409 |
| 14 | 1036 | 409 |
| 15 | 1074 | 409 |
| 16 | 1108 | 409 |
| 17 | 1141 | 409 |
| 18 | 1168 | 409 |
| 19 | 1182 | 409 |
| 20 | 1185 | 409 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 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 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) #s(approx (+ (* (sqrt (+ x 1)) (sqrt x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (* (- (sqrt (+ x 1)) (sqrt x)) (/ -1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x)) 1/2) (* -1/2 (sqrt (/ 1 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 #s(literal 1 binary64) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 711 | 3366 |
| 1 | 2142 | 2500 |
| 2 | 7422 | 2498 |
| 0 | 8370 | 2352 |
| 0 | 462 | 2249 |
| 1 | 1363 | 1852 |
| 2 | 4315 | 1777 |
| 0 | 8891 | 1656 |
| 0 | 582 | 2529 |
| 1 | 1709 | 1822 |
| 2 | 5809 | 1802 |
| 0 | 8170 | 1691 |
| 0 | 44 | 238 |
| 0 | 72 | 238 |
| 1 | 294 | 207 |
| 2 | 2402 | 207 |
| 0 | 8819 | 207 |
| 0 | 8 | 27 |
| 0 | 14 | 27 |
| 1 | 66 | 23 |
| 2 | 565 | 23 |
| 3 | 6719 | 23 |
| 0 | 8113 | 23 |
| 0 | 155 | 667 |
| 1 | 437 | 590 |
| 2 | 1370 | 562 |
| 3 | 4606 | 557 |
| 0 | 8302 | 506 |
| 0 | 38 | 232 |
| 0 | 63 | 213 |
| 1 | 238 | 177 |
| 2 | 1836 | 177 |
| 0 | 9071 | 177 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 778 to 327 computations (58% saved)
Compiled 858 to 222 computations (74.1% saved)
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