
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 80% | 50% | 12.5% | 0% | 0% | 37.5% | 0% | 4 |
| 88.9% | 50% | 6.2% | 0% | 0% | 43.7% | 0% | 5 |
| 94.1% | 50% | 3.1% | 0% | 0% | 46.9% | 0% | 6 |
| 97% | 50% | 1.6% | 0% | 0% | 48.4% | 0% | 7 |
| 98.5% | 50% | 0.8% | 0% | 0% | 49.2% | 0% | 8 |
| 99.2% | 50% | 0.4% | 0% | 0% | 49.6% | 0% | 9 |
| 99.6% | 50% | 0.2% | 0% | 0% | 49.8% | 0% | 10 |
| 99.8% | 50% | 0.1% | 0% | 0% | 49.9% | 0% | 11 |
| 99.9% | 50% | 0% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 16 to 13 computations (18.8% saved)
| 1.1s | 8 256× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
ival-mult: 275.0ms (37.7% of total)ival-add: 188.0ms (25.7% of total)ival-sub: 128.0ms (17.5% of total)ival-sqrt: 67.0ms (9.2% of total)ival-div: 52.0ms (7.1% of total)exact: 11.0ms (1.5% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | o/n | 1 | 0 |
| ↳ | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 488× | 0 | valid |
| 3.0ms | 16× | 2 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 147 to 48 computations (67.3% saved)
ival-mult: 7.0ms (28.2% of total)ival-add: 5.0ms (20.2% of total)ival-div: 4.0ms (16.1% of total)ival-sqrt: 4.0ms (16.1% of total)ival-sub: 3.0ms (12.1% of total)adjust: 1.0ms (4% of total)exact: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 34 | 32 |
| 2 | 94 | 30 |
| 3 | 290 | 30 |
| 4 | 691 | 30 |
| 5 | 1345 | 30 |
| 6 | 1616 | 30 |
| 7 | 1643 | 30 |
| 8 | 1645 | 30 |
| 0 | 11 | 14 |
| 0 | 18 | 14 |
| 1 | 31 | 14 |
| 2 | 52 | 14 |
| 3 | 59 | 14 |
| 4 | 79 | 14 |
| 5 | 115 | 14 |
| 6 | 184 | 14 |
| 7 | 294 | 14 |
| 8 | 527 | 14 |
| 9 | 801 | 14 |
| 10 | 1345 | 14 |
| 11 | 1599 | 14 |
| 12 | 1626 | 14 |
| 0 | 1626 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
Compiled 14 to 11 computations (21.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| cost-diff | 128 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 0 | 18 | 43 |
| 1 | 31 | 43 |
| 2 | 52 | 43 |
| 3 | 59 | 43 |
| 4 | 79 | 43 |
| 5 | 115 | 43 |
| 6 | 184 | 43 |
| 7 | 294 | 43 |
| 8 | 527 | 43 |
| 9 | 801 | 43 |
| 10 | 1345 | 43 |
| 11 | 1599 | 43 |
| 12 | 1626 | 43 |
| 0 | 1626 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.3632674745653642 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 190.0ms | 244× | 0 | valid |
| 2.0ms | 8× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 88 to 24 computations (72.7% saved)
ival-div: 167.0ms (94.4% of total)ival-mult: 3.0ms (1.7% of total)ival-add: 2.0ms (1.1% of total)ival-sub: 2.0ms (1.1% of total)ival-sqrt: 2.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
-6 |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-1 |
(- x 1) |
(sqrt x) |
(* 4 (sqrt x)) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | inf | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x) (* 4 (sqrt x))) |
| 3.0ms | x | @ | -inf | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x) (* 4 (sqrt x))) |
| 2.0ms | x | @ | 0 | ((* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (sqrt x) (* 4 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 804 |
| 1 | 377 | 729 |
| 2 | 1074 | 701 |
| 3 | 3238 | 619 |
| 0 | 8709 | 558 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-6 |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-1 |
(- x 1) |
(sqrt x) |
(* 4 (sqrt x)) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 6 binary64))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -6 binary64))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) #s(literal -6 binary64))) x (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 0 | 18 | 36 |
| 1 | 69 | 36 |
| 2 | 526 | 36 |
| 0 | 8441 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(-.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) #s(literal -6 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -6 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64))) |
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 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)) (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 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
Compiled 15 400 to 1 791 computations (88.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 552 | 8 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 553 | 8 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| ▶ | 52.6% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| 50.4% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 100.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) | |
| ▶ | 99.8% | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
| ▶ | 49.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 50.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
Compiled 270 to 222 computations (17.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 247 |
| 0 | 60 | 241 |
| 1 | 104 | 241 |
| 2 | 174 | 239 |
| 3 | 292 | 239 |
| 4 | 523 | 239 |
| 5 | 1012 | 239 |
| 6 | 1868 | 239 |
| 7 | 2303 | 239 |
| 8 | 2363 | 239 |
| 9 | 2376 | 239 |
| 10 | 2384 | 239 |
| 11 | 2386 | 239 |
| 12 | 2388 | 239 |
| 0 | 2388 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 4 binary64) |
(*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
#s(literal -6 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
#s(literal 6 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 4 binary64) |
(*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
#s(literal -6 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.02734375 | (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.03125 | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) | |
| accuracy | 0.0078125 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 32.53338888449713 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.3632674745653642 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 30.34907015032218 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.12890625 | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.93842080834327 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.03125 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| accuracy | 0.0390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
| 63.0ms | 244× | 0 | valid |
| 5.0ms | 8× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 479 to 75 computations (84.3% saved)
ival-mult: 19.0ms (38.6% of total)ival-div: 10.0ms (20.3% of total)ival-add: 7.0ms (14.2% of total)ival-sub: 7.0ms (14.2% of total)ival-sqrt: 4.0ms (8.1% of total)adjust: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
1 |
(+ 1 (* -1 x)) |
(- (* -4 (sqrt x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ 1 (* 4 (sqrt x))) |
(sqrt x) |
-6 |
(- (* 6 x) 6) |
-1 |
(- x 1) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(sqrt (/ 1 x)) |
(/ 1 (+ 1 (* 4 (sqrt x)))) |
(+ (* -1 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+ (* x (+ (* -1 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+ (* x (+ (* -1 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -1 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(- (/ x (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ x (pow (+ 1 (* 4 (sqrt x))) 4)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ -1 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(/ -1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(- (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ -1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) x) |
(/ (- (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x) |
(/ (- (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(+ (* -1 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) (* -6 (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1))))) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) |
| 6.0ms | x | @ | -inf | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) (* -6 (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1))))) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) |
| 4.0ms | x | @ | 0 | ((* (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) 6) (/ (- 1 x) (- (+ (* -4 (sqrt x)) -1) x)) (- 1 x) (- (+ (* -4 (sqrt x)) -1) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (* 6 (- x 1)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (- x 1) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (+ (* (sqrt (/ 1 x)) 4) 1) (sqrt (/ 1 x)) (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) (* -6 (* (- x 1) (/ -1 (+ (* (sqrt x) 4) (- x -1))))) (/ -1 (+ (* (sqrt x) 4) (- x -1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 3807 |
| 1 | 1312 | 3337 |
| 2 | 4187 | 3249 |
| 0 | 8956 | 2943 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
1 |
(+ 1 (* -1 x)) |
(- (* -4 (sqrt x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ 1 (* 4 (sqrt x))) |
(sqrt x) |
-6 |
(- (* 6 x) 6) |
-1 |
(- x 1) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(sqrt (/ 1 x)) |
(/ 1 (+ 1 (* 4 (sqrt x)))) |
(+ (* -1 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+ (* x (+ (* -1 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+ (* x (+ (* -1 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -1 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(- (/ x (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ x (pow (+ 1 (* 4 (sqrt x))) 4)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (+ (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ -1 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) |
(- (+ (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(/ -1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(- (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ -1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) x) |
(/ (- (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x) |
(/ (- (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(+ (* -1 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
| Outputs |
|---|
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* 6 (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (+ (* 6 (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (* x (+ (* 6 (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (- (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ 1 (- (* -4 (sqrt x)) 1))) (- (* -4 (sqrt x)) 1))))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))) (/ 1 (- (* -4 (sqrt x)) 1))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -3/8 binary64) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) (fma.f64 (*.f64 x #s(literal -3/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/128 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) x) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) |
(/ (+ x (* 4 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(+ (* -1 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(+ (* x (+ (* -1 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -1 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) x)) |
(/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) |
(/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 193 |
| 0 | 60 | 189 |
| 1 | 257 | 182 |
| 2 | 1931 | 182 |
| 0 | 8447 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 6 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))) |
Compiled 25 296 to 3 124 computations (87.7% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 9 | 859 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 852 | 15 | 867 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| ▶ | 52.6% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| 4.5% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| ▶ | 50.4% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 52.5% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ✓ | 100.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| 49.4% | (*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) | |
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
| 49.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| ✓ | 50.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) | |
| ▶ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 582 to 453 computations (22.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| cost-diff | 128 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 246 |
| 0 | 61 | 240 |
| 1 | 90 | 235 |
| 2 | 113 | 235 |
| 3 | 137 | 235 |
| 4 | 172 | 235 |
| 5 | 258 | 235 |
| 6 | 413 | 235 |
| 7 | 683 | 235 |
| 8 | 1166 | 235 |
| 9 | 1900 | 235 |
| 10 | 2224 | 235 |
| 11 | 2462 | 235 |
| 12 | 2521 | 235 |
| 13 | 2533 | 235 |
| 14 | 2534 | 235 |
| 0 | 2534 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
#s(literal 3/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
#s(literal -6 binary64) |
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
#s(literal 6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
#s(literal 3/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(literal -6 binary64) |
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 4 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
#s(literal -6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.3632674745653642 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 30.34907015032218 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.3632674745653642 | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| accuracy | 32.19314617834088 | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.12890625 | (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) | |
| accuracy | 31.268188210353003 | #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| accuracy | 31.93842080834327 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.26953125 | (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) | |
| accuracy | 30.92464847764093 | #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) | |
| accuracy | 32.53338888449713 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) | |
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.0390625 | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| 75.0ms | 244× | 0 | valid |
| 4.0ms | 8× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 445 to 78 computations (82.5% saved)
ival-div: 30.0ms (47% of total)ival-mult: 15.0ms (23.5% of total)ival-add: 10.0ms (15.7% of total)ival-sqrt: 4.0ms (6.3% of total)ival-sub: 3.0ms (4.7% of total)adjust: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt x)))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 4 (sqrt x)) |
-6 |
(- (* 6 x) 6) |
1 |
(+ 1 x) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* (sqrt x) 4) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (- x -1) (* 4 (sqrt x))) |
| 4.0ms | x | @ | -inf | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* (sqrt x) 4) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (- x -1) (* 4 (sqrt x))) |
| 2.0ms | x | @ | 0 | ((* (/ 6 (+ (* (sqrt x) 4) (- x -1))) (- x 1)) (/ 6 (+ (* (sqrt x) 4) (- x -1))) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* 3/2 (sqrt x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (* (sqrt x) 4) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ x 1) (/ (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x)))) (+ (* x 6) -6) (+ (+ x 1) (* 4 (sqrt x))) (+ (* (sqrt x) 4) 1) (- x -1) (* 4 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 2182 |
| 1 | 989 | 1896 |
| 2 | 2895 | 1844 |
| 0 | 8433 | 1667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt x)))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(* 4 (sqrt x)) |
-6 |
(- (* 6 x) 6) |
1 |
(+ 1 x) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/ 6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) x (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 3/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3/32 binary64) #s(literal -3/128 binary64)) x (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))) x) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) x)) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
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(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal -6 binary64) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 216 |
| 0 | 61 | 210 |
| 1 | 231 | 201 |
| 2 | 1504 | 201 |
| 0 | 8255 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
#s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 (pow.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
Compiled 20 536 to 2 487 computations (87.9% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 2 | 720 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 720 | 15 | 735 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 52.6% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ▶ | 99.6% | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
| 4.5% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 50.4% | (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) | |
| 52.5% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ✓ | 100.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
| ▶ | 49.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
| ✓ | 50.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ✓ | 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| ▶ | 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
| ✓ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| ▶ | 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 482 to 375 computations (22.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 257 |
| 0 | 70 | 254 |
| 1 | 109 | 251 |
| 2 | 147 | 251 |
| 3 | 230 | 251 |
| 4 | 325 | 251 |
| 5 | 539 | 251 |
| 6 | 942 | 251 |
| 7 | 1565 | 251 |
| 8 | 2243 | 251 |
| 9 | 2654 | 251 |
| 10 | 2920 | 251 |
| 11 | 3089 | 251 |
| 12 | 3144 | 251 |
| 13 | 3190 | 251 |
| 14 | 3226 | 251 |
| 15 | 3242 | 251 |
| 16 | 3260 | 251 |
| 17 | 3273 | 251 |
| 18 | 3285 | 251 |
| 19 | 3291 | 251 |
| 20 | 3296 | 251 |
| 21 | 3297 | 251 |
| 0 | 3297 | 247 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1/6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal -3/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 3/2 binary64) |
#s(literal -3/8 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(literal 6 binary64) |
(+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1/6 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 3/2 binary64) |
#s(literal -3/8 binary64) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(literal 6 binary64) |
(+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
#s(literal 4 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) | |
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.3632674745653642 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) | |
| accuracy | 0.22265625 | (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) | |
| accuracy | 32.53338888449713 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) | |
| accuracy | 0.171875 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) | |
| accuracy | 32.0299013011174 | #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) | |
| accuracy | 32.53338888449713 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 31.260485035234318 | #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 31.93842080834327 | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) | |
| accuracy | 0.03515625 | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 0.2109375 | (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
| 107.0ms | 244× | 0 | valid |
| 11.0ms | 8× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 464 to 94 computations (79.7% saved)
const: 25.0ms (25% of total)ival-mult: 23.0ms (23% of total)ival-sub: 20.0ms (20% of total)ival-div: 13.0ms (13% of total)ival-add: 12.0ms (12% of total)ival-sqrt: 4.0ms (4% of total)adjust: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(/ -1 (+ 1/6 (* 2/3 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(- (* x (+ (* -1/6 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (+ 1/6 (* 2/3 (sqrt x))))) (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(- (* x (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (+ (* x (- (* 1/36 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2)))) (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
-1 |
(- x 1) |
(+ 1/6 (* 2/3 (sqrt x))) |
(+ 1/6 (+ (* 1/6 x) (* 2/3 (sqrt x)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(+ (* -3/8 x) (* 3/2 (sqrt x))) |
(* 3/2 (sqrt (/ 1 x))) |
(/ (+ (* -3/8 x) (* 3/2 (sqrt x))) x) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
1 |
(+ 1 x) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
x |
(* x (- 1 (/ 1 x))) |
(* 1/6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(- (* 3/2 (sqrt (/ 1 x))) 3/8) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1/6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8)) |
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6)) (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (+ (* 4 (sqrt x)) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (/ 4 (sqrt x)) 1)) (+ (/ 4 (sqrt x)) 1) (/ 4 (sqrt x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (- x -1)) |
| 3.0ms | x | @ | 0 | ((/ (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6)) (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (+ (* 4 (sqrt x)) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (/ 4 (sqrt x)) 1)) (+ (/ 4 (sqrt x)) 1) (/ 4 (sqrt x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (- x -1)) |
| 3.0ms | x | @ | inf | ((/ (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6)) (- x 1) (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (+ (* 4 (sqrt x)) x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ 6 (+ (/ 4 (sqrt x)) 1)) (+ (/ 4 (sqrt x)) 1) (/ 4 (sqrt x)) (/ (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1))) (+ (* x 6) -6) (+ (* (sqrt x) 4) (- x -1)) (sqrt x) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 2104 |
| 1 | 976 | 1832 |
| 2 | 2902 | 1795 |
| 3 | 7709 | 1795 |
| 0 | 8566 | 1614 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (+ 1/6 (* 2/3 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(- (* x (+ (* -1/6 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (+ 1/6 (* 2/3 (sqrt x))))) (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(- (* x (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (+ (* x (- (* 1/36 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2)))) (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
-1 |
(- x 1) |
(+ 1/6 (* 2/3 (sqrt x))) |
(+ 1/6 (+ (* 1/6 x) (* 2/3 (sqrt x)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* -3/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(+ (* -3/8 x) (* 3/2 (sqrt x))) |
(* 3/2 (sqrt (/ 1 x))) |
(/ (+ (* -3/8 x) (* 3/2 (sqrt x))) x) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
-6 |
(- (* 6 x) 6) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(sqrt x) |
1 |
(+ 1 x) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
x |
(* x (- 1 (/ 1 x))) |
(* 1/6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(- (* 3/2 (sqrt (/ 1 x))) 3/8) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1/6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8)) |
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ -1 (+ 1/6 (* 2/3 (sqrt x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))) |
(- (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
(- (* x (+ (* -1/6 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (+ 1/6 (* 2/3 (sqrt x))))) (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
(- (* x (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (+ (* x (- (* 1/36 (/ (* x (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2))))) (pow (+ 1/6 (* 2/3 (sqrt x))) 2))) (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt x)))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt x))) 2)))) (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt x))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) x (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(+ 1/6 (* 2/3 (sqrt x))) |
(fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)) |
(+ 1/6 (+ (* 1/6 x) (* 2/3 (sqrt x)))) |
(fma.f64 #s(literal 1/6 binary64) x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(+ x (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* 3/2 (sqrt x)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -3/8 binary64) x)) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) (fma.f64 (*.f64 #s(literal -3/32 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/128 binary64))) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(+ (* -3/8 x) (* 3/2 (sqrt x))) |
(fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) |
(* 3/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -3/8 x) (* 3/2 (sqrt x))) x) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))) x) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) |
(/ (+ x (* 4 (sqrt x))) x) |
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(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) x) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -3/32 binary64) (sqrt.f64 x) (*.f64 #s(literal 3/8 binary64) x)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 3/8 binary64) x (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/32 binary64) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/128 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* x (- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8)) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x) |
(- (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3/8) |
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 223 |
| 0 | 70 | 216 |
| 1 | 312 | 202 |
| 2 | 1966 | 202 |
| 0 | 8857 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
#s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(sqrt.f64 x) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/6 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/216 binary64))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/6 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/216 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/6 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/216 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/216 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/36 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)))) |
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(fma.f64 (fma.f64 #s(literal 16 binary64) x #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 16 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal -1 binary64)) x))) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal -1 binary64)) |
(-.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 x #s(literal -1 binary64))) |
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) x) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) |
(+.f64 x (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(+.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 22 800 to 2 860 computations (87.5% saved)
20 alts after pruning (10 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 766 | 8 | 774 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 6 | 7 |
| Total | 769 | 20 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 52.6% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| ✓ | 99.6% | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
| 52.5% | (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) | |
| 48.8% | (/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| 50.4% | (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) | |
| 4.5% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) | |
| 52.5% | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ✓ | 100.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
| ✓ | 49.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
| ✓ | 50.1% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) | |
| 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) | |
| ✓ | 4.3% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| 1.5% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) | |
| 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) | |
| 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) | |
| ✓ | 4.4% | #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
Compiled 1 096 to 490 computations (55.3% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -6 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
2 calls:
| 10.0ms | x |
| 7.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
2 calls:
| 65.0ms | x |
| 6.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
2 calls:
| 170.0ms | x |
| 6.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(approx (+ (* x 6) -6) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 97.4% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | x |
| 52.6% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) 3/2) -3/8) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 52.5% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 2 | x |
| 52.5% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 30.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 52.5% | 2 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) #s(approx (* (+ (* (sqrt (/ 1 x)) 3/2) -3/8) x) (fma.f64 #s(literal -3/8 binary64) x (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.8% | 2 | x |
| 6.8% | 2 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 15 to 12 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 4.3% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.37208488121301 | 1.860851393413734 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.030217740803901702 | 6.475138177991856 |
| 7.0ms | 112× | 0 | valid |
Compiled 332 to 267 computations (19.6% saved)
ival-sub: 1.0ms (21.5% of total)ival-div: 1.0ms (21.5% of total)ival-add: 1.0ms (21.5% of total)ival-mult: 1.0ms (21.5% of total)ival-sqrt: 1.0ms (21.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.030217740803901702 | 6.475138177991856 |
Compiled 381 to 302 computations (20.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.030217740803901702 | 6.475138177991856 |
Compiled 423 to 316 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 333 |
| 1 | 95 | 333 |
| 2 | 105 | 333 |
| 3 | 113 | 333 |
| 4 | 115 | 333 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -2 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x)) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -2 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* 4 (sqrt x)) x) 1/6) 1/6) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ 6 (+ (* (sqrt (/ 1 x)) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 216 |
| 0 | 61 | 210 |
| 1 | 231 | 201 |
| 2 | 1504 | 201 |
| 0 | 8255 | 201 |
| 0 | 133 | 804 |
| 1 | 377 | 729 |
| 2 | 1074 | 701 |
| 3 | 3238 | 619 |
| 0 | 8709 | 558 |
| 0 | 47 | 223 |
| 0 | 70 | 216 |
| 1 | 312 | 202 |
| 2 | 1966 | 202 |
| 0 | 8857 | 200 |
| 0 | 453 | 3807 |
| 1 | 1312 | 3337 |
| 2 | 4187 | 3249 |
| 0 | 8956 | 2943 |
| 0 | 11 | 36 |
| 0 | 18 | 36 |
| 1 | 69 | 36 |
| 2 | 526 | 36 |
| 0 | 8441 | 32 |
| 0 | 37 | 193 |
| 0 | 60 | 189 |
| 1 | 257 | 182 |
| 2 | 1931 | 182 |
| 0 | 8447 | 177 |
| 0 | 331 | 2104 |
| 1 | 976 | 1832 |
| 2 | 2902 | 1795 |
| 3 | 7709 | 1795 |
| 0 | 8566 | 1614 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 717 to 349 computations (51.3% saved)
Compiled 722 to 208 computations (71.2% saved)
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