
Time bar (total: 11.6s)
| 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: 290.0ms (38.6% of total)ival-sub: 218.0ms (29.1% of total)ival-div: 76.0ms (10.1% of total)ival-add: 74.0ms (9.9% of total)ival-sqrt: 73.0ms (9.7% of total)exact: 10.0ms (1.3% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 448× | lower-*.f32 |
| 444× | lower-*.f64 |
| 250× | times-frac |
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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | (/.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 | - | #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)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 36.0ms | 486× | 0 | valid |
| 2.0ms | 16× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 120 to 48 computations (60% saved)
ival-mult: 6.0ms (25.8% of total)ival-add: 5.0ms (21.5% of total)ival-sqrt: 4.0ms (17.2% of total)ival-div: 3.0ms (12.9% of total)ival-sub: 3.0ms (12.9% of total)adjust: 1.0ms (4.3% of total)exact: 1.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.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 11 computations (26.7% 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))) |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 448× | lower-*.f32 |
| 444× | lower-*.f64 |
| 250× | times-frac |
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 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)) |
(+.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.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)))) |
| 19.0ms | 243× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 45 to 13 computations (71.1% saved)
ival-add: 4.0ms (30.3% of total)ival-mult: 3.0ms (22.7% of total)ival-div: 2.0ms (15.1% of total)ival-sub: 2.0ms (15.1% of total)ival-sqrt: 2.0ms (15.1% 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 |
|---|
#<alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))> |
#<alt (/.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))))> |
#<alt (-.f64 x #s(literal 1 binary64))> |
#<alt (sqrt.f64 x)> |
| Outputs |
|---|
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1.0ms | x | @ | inf | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (+ (+ x 1) (* 4 (sqrt x))) |
| 1.0ms | x | @ | 0 | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 0.0ms | x | @ | inf | (* 6 (- x 1)) |
| 1× | egg-herbie |
| 19 378× | lower-fma.f64 |
| 19 378× | lower-fma.f32 |
| 4 238× | lower-*.f64 |
| 4 238× | lower-*.f32 |
| 3 520× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1055 | 829 |
| 3 | 3184 | 747 |
| 0 | 8584 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 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)))))) |
(/ 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 (- (* 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) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (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)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 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 (- 6 (* 6 (/ 1 x)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #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 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #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 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 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 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (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))))) |
(+ (* -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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) 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 (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 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) 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 (/.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x)))) |
(/ -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 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (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))))) |
(- (* -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 (+.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.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 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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)) (*.f64 x #s(literal 4 binary64)) x))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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)))) (* -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 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 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 (+.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 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
| 1× | batch-egg-rewrite |
| 6 996× | lower-fma.f64 |
| 6 996× | lower-fma.f32 |
| 5 704× | lower-*.f32 |
| 5 700× | lower-*.f64 |
| 4 836× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 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) |
| Outputs |
|---|
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) |
(fma.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal -6 binary64)) |
(neg.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64))) |
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 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)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #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)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 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 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 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 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
Compiled 17 707 to 1 738 computations (90.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 8 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 585 | 8 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) | |
| ▶ | 74.1% | (/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
| ▶ | 58.6% | (/.f64 (*.f64 #s(literal 6 binary64) (-.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)))) |
| ▶ | 44.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 56.6% | (/.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)))) | |
| 99.9% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ▶ | 56.4% | #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 228 to 164 computations (28.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
| ✓ | cost-diff | 320 | (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.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 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 4 binary64) (sqrt.f64 x) #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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| 13 966× | lower-fma.f32 |
| 13 958× | lower-fma.f64 |
| 3 050× | lower--.f32 |
| 3 048× | lower--.f64 |
| 2 694× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 267 |
| 0 | 66 | 263 |
| 1 | 114 | 256 |
| 2 | 214 | 256 |
| 3 | 537 | 254 |
| 4 | 1565 | 254 |
| 5 | 4460 | 254 |
| 6 | 5486 | 254 |
| 0 | 8204 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(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 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
x |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
(*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
#s(literal 6 binary64) |
x |
#s(literal -6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) |
(*.f64 x #s(literal -16 binary64)) |
#s(literal -16 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(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 #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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.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)) |
(+.f64 x #s(literal -1 binary64)) |
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))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 #s(literal 6 binary64) x) |
(*.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
x |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 x (+.f64 x #s(literal -15 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
#s(literal 6 binary64) |
x |
#s(literal -6 binary64) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) |
(+.f64 x (fma.f64 x (+.f64 x #s(literal -15 binary64)) #s(literal 1 binary64))) |
(*.f64 x #s(literal -16 binary64)) |
#s(literal -16 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | accuracy | 74.9% | (/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | accuracy | 44.2% | #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 #s(literal 6 binary64) (-.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)))) |
| ✓ | accuracy | 58.6% | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 56.4% | #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 | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 55.0ms | 243× | 0 | valid |
| 3.0ms | 8× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 253 to 33 computations (87% saved)
ival-mult: 14.0ms (38.5% of total)ival-add: 10.0ms (27.5% of total)ival-div: 6.0ms (16.5% of total)ival-sqrt: 2.0ms (5.5% of total)adjust: 1.0ms (2.8% of total)ival-sub: 1.0ms (2.8% of total)exact: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))> |
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt #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))))> |
#<alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 (*.f64 #s(literal 6 binary64) (-.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))))> |
#<alt (-.f64 x #s(literal 1 binary64))> |
#<alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))> |
#<alt (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))> |
#<alt #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))> |
#<alt (*.f64 #s(literal 6 binary64) x)> |
#<alt (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))> |
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))> |
#<alt (/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))> |
#<alt (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* x (- (/ (* 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 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 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))))))> |
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (/ 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))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -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)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
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#<alt (* -6 (* (pow x 2) (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* 6 x) |
| 2.0ms | x | @ | 0 | (+ (* (+ x 1) (+ x 1)) (* x -16)) |
| 1.0ms | x | @ | -inf | (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) |
| 1.0ms | x | @ | inf | (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) |
| 1.0ms | x | @ | 0 | (/ 6 (+ (* (sqrt x) -4) -1)) |
| 1× | egg-herbie |
| 10 618× | lower-fma.f64 |
| 10 618× | lower-fma.f32 |
| 5 296× | lower-+.f64 |
| 5 296× | lower-+.f32 |
| 4 884× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 6048 |
| 1 | 1249 | 5140 |
| 2 | 4127 | 5044 |
| 0 | 8339 | 4513 |
| 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 (/ 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 (- (* 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 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ (* 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 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 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 (- (* 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)))) |
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -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)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 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)))))) |
(/ 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 (- (* 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 (- (* -4 (sqrt x)) 1)) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(* -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) |
(* 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)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(- (* -4 (sqrt x)) 1) |
(* -4 (sqrt x)) |
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) |
(* 4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(/ -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 (/ 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 (- (* 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) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 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)))))) |
(/ 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 (- (* 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 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
1 |
(+ 1 (* -14 x)) |
(+ 1 (* x (- x 14))) |
(+ 1 (* x (- x 14))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(+ 1 (* -4 (sqrt x))) |
(+ 1 (+ x (* -4 (sqrt x)))) |
(+ 1 (+ x (* -4 (sqrt x)))) |
(+ 1 (+ x (* -4 (sqrt x)))) |
(* x (+ 1 (* -4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (sqrt (/ 1 x))) (/ 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 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) 6))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 x) (* 6 (+ 1 (* -4 (sqrt x))))) 6))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 x) (* 6 (+ 1 (* -4 (sqrt x))))) 6))) |
(* 6 (* (pow x 2) (+ 1 (* -4 (sqrt (/ 1 x)))))) |
(* (pow x 2) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) |
(* (pow x 2) (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (/ 6 (pow x 2)))) |
(* (pow x 2) (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (/ 6 (pow x 2)))) |
(* -6 (* (pow x 2) (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x))))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x)))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x)))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (+.f64 (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (fma.f64 x (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 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))))))) |
(fma.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) 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))))) (/ 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 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) 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))))))))) |
(fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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)))) (*.f64 x (*.f64 x 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 (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))) |
(/ -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)))) |
(fma.f64 #s(literal 6 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (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)))) |
(- (* -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 (fma.f64 #s(literal 6 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 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 -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (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))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))))) x)) x)) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(+.f64 (-.f64 (+.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) (/.f64 #s(literal 6 binary64) x))) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (fma.f64 #s(literal -14 binary64) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 78 binary64) #s(literal 6 binary64)) #s(literal 6 binary64))) (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) x) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -336 binary64) #s(literal 84 binary64)) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) x) (+.f64 (+.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) (/.f64 #s(literal 6 binary64) x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 336 binary64) #s(literal -84 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 336 binary64) #s(literal -84 binary64)) x) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 78 binary64) #s(literal 6 binary64)) (/.f64 #s(literal -14 binary64) (*.f64 x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (fma.f64 #s(literal 14 binary64) (fma.f64 #s(literal -14 binary64) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 78 binary64) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) #s(literal 84 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (*.f64 x x)))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+.f64 (fma.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -336 binary64) #s(literal 84 binary64)) x)) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (/.f64 (+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -78 binary64) #s(literal -6 binary64)) (/.f64 (+.f64 #s(literal 6 binary64) (fma.f64 #s(literal -14 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -78 binary64) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))) x)) x)) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -78 binary64) #s(literal 6 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 336 binary64) #s(literal -84 binary64)) x) (-.f64 #s(literal -6 binary64) (fma.f64 #s(literal -14 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -78 binary64) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))))) (fma.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 14 binary64) (fma.f64 #s(literal -14 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -78 binary64) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) #s(literal 84 binary64)) x))) x)) x)) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) 6))) |
(fma.f64 x (+.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 x) (* 6 (+ 1 (* -4 (sqrt x))))) 6))) |
(fma.f64 x (fma.f64 x #s(literal 6 binary64) (+.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 x) (* 6 (+ 1 (* -4 (sqrt x))))) 6))) |
(fma.f64 x (fma.f64 x #s(literal 6 binary64) (+.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(* 6 (* (pow x 2) (+ 1 (* -4 (sqrt (/ 1 x)))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 6 binary64) x) (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))))) |
(* (pow x 2) (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (/ 6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -6 binary64) (*.f64 x x)))))) |
(* (pow x 2) (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (/ 6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal -6 binary64)) x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -6 binary64) (*.f64 x x)))))) |
(* -6 (* (pow x 2) (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x)))) |
(*.f64 x (*.f64 x (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (/.f64 (+.f64 #s(literal -6 binary64) (+.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) (/.f64 #s(literal 6 binary64) x)))) x)))) |
(* (pow x 2) (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) x)))) |
(*.f64 x (*.f64 x (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) (/.f64 (+.f64 #s(literal -6 binary64) (+.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) (/.f64 #s(literal 6 binary64) x)))) x)))) |
| 1× | batch-egg-rewrite |
| 5 416× | lower-/.f32 |
| 5 406× | lower-/.f64 |
| 4 198× | lower-*.f32 |
| 4 184× | lower-*.f64 |
| 3 572× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 205 |
| 0 | 66 | 198 |
| 1 | 260 | 192 |
| 2 | 2149 | 192 |
| 0 | 8298 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 x (fma.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) (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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(-.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))) |
(+.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)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
(*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 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)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 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))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 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))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 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)))))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64))) (neg.f64 (neg.f64 (+.f64 x (fma.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)) #s(literal 1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 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))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(*.f64 (+.f64 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))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 x #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)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.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 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64)))) (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64)))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
Compiled 50 535 to 3 947 computations (92.2% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 507 | 8 | 1 515 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 510 | 13 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| 58.6% | (/.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)))) | |
| ✓ | 58.6% | (/.f64 (*.f64 #s(literal 6 binary64) (-.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)))) |
| ▶ | 4.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
| 44.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| 56.6% | (/.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)))) | |
| ▶ | 99.9% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ▶ | 58.6% | (*.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)) |
| ▶ | 46.6% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
| ▶ | 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
| ✓ | 56.4% | #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)))) |
| 3.6% | #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)))) |
Compiled 264 to 195 computations (26.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.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)))) |
| ✓ | cost-diff | 128 | (*.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)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | 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 -24 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 512 | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| 13 604× | lower-fma.f32 |
| 13 598× | lower-fma.f64 |
| 3 226× | lower--.f64 |
| 3 226× | lower--.f32 |
| 2 676× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 268 |
| 0 | 61 | 263 |
| 1 | 108 | 263 |
| 2 | 210 | 263 |
| 3 | 537 | 259 |
| 4 | 1568 | 259 |
| 5 | 4445 | 259 |
| 6 | 5468 | 259 |
| 0 | 8347 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
#s(literal 6 binary64) |
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(+.f64 x (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) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 24 binary64) |
#s(literal -6 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -24 binary64) |
#s(literal 6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #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))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#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 (+.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)))) |
(+.f64 x #s(literal -1 binary64)) |
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))) |
(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) |
| Outputs |
|---|
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
#s(literal 6 binary64) |
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(+.f64 x (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) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 24 binary64) |
#s(literal -6 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -24 binary64) |
#s(literal 6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
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))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#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 (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 (+.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)))) |
(+.f64 x #s(literal -1 binary64)) |
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))) |
(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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (*.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)) |
| ✓ | accuracy | 99.9% | (/.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)))) |
| ✓ | accuracy | 58.6% | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
| ✓ | accuracy | 58.6% | #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 44.2% | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.7% | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
| ✓ | accuracy | 46.6% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
| ✓ | accuracy | 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| 83.0ms | 243× | 0 | valid |
| 4.0ms | 8× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 226 to 42 computations (81.4% saved)
ival-mult: 16.0ms (34.3% of total)ival-add: 12.0ms (25.8% of total)ival-div: 11.0ms (23.6% of total)ival-sqrt: 4.0ms (8.6% of total)adjust: 1.0ms (2.1% of total)ival-sub: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))> |
#<alt (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))> |
#<alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)))> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)))> |
#<alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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))))> |
#<alt #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))> |
#<alt (*.f64 x #s(literal 6 binary64))> |
#<alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (*.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))> |
#<alt (/.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))))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt (* -1 (+ 1 (* 4 (sqrt x))))> |
#<alt (+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))> |
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))> |
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))> |
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))> |
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))))))> |
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))> |
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x)))> |
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -6 (+ 1 (* -4 (sqrt x))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (* 6 (+ 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))))))> |
#<alt (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x)))> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (* 24 (sqrt x))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -6 (+ 1 (* -4 (sqrt x))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (* 6 (+ 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))))))> |
#<alt (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* x (- (/ (* 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 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 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))))))> |
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (/ 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))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -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)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) |
| 0.0ms | x | @ | inf | (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) |
| 0.0ms | x | @ | -inf | (+ (* (sqrt (/ 1 x)) -24) 6) |
| 0.0ms | x | @ | 0 | (+ (* (sqrt x) 24) -6) |
| 0.0ms | x | @ | 0 | (/ (+ x (+ (* 4 (sqrt x)) 1)) (+ x -1)) |
| 1× | egg-herbie |
| 11 330× | lower-fma.f64 |
| 11 330× | lower-fma.f32 |
| 4 886× | lower-+.f64 |
| 4 886× | lower-+.f32 |
| 4 650× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 5866 |
| 1 | 1205 | 4820 |
| 2 | 4155 | 4727 |
| 0 | 8712 | 4203 |
| 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 (/ 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 (- (* 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 (+ 1 (* 4 (sqrt x)))) |
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x))))) |
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x)))))) |
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x)))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x))) |
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2))))) |
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2)))))) |
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x))) |
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(* 24 (sqrt x)) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(* -24 (sqrt (/ 1 x))) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)))))) |
(/ 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 (- (* 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 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 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)))))) |
(/ 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 (- (* 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 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ (* 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 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 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 (- (* 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)))) |
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -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)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 6 binary64) (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (+.f64 (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (fma.f64 x (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))) 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))))) (/ 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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(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(+.f64 (/.f64 #s(literal 1 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (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)) (*.f64 #s(literal 4 binary64) x) x))))) |
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (+.f64 (/.f64 #s(literal 1 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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (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)) (*.f64 #s(literal 4 binary64) x) x))))))) |
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 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)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (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)) (*.f64 #s(literal 4 binary64) x) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (*.f64 x (*.f64 x x)))) |
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(- (/ 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)))) |
(+.f64 (/.f64 #s(literal 1 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (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)) (*.f64 #s(literal 4 binary64) x) x))))) |
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (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 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (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)) (*.f64 #s(literal 4 binary64) x) x))))) x)) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -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)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(+.f64 (/.f64 #s(literal 1 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 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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 x (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) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 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)))))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
| 1× | batch-egg-rewrite |
| 5 604× | lower-/.f32 |
| 5 594× | lower-/.f64 |
| 4 492× | lower-*.f32 |
| 4 488× | lower-*.f64 |
| 3 648× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 214 |
| 0 | 61 | 206 |
| 1 | 267 | 203 |
| 2 | 2276 | 203 |
| 0 | 9089 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(sqrt.f64 x) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 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 (/.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 (+.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)))) |
(+.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 36 binary64) (fma.f64 #s(literal 6 binary64) x #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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 (neg.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.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)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(expm1.f64 (log.f64 x)) |
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(fma.f64 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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #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) (neg.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.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 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x 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)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #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)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
Compiled 25 635 to 2 723 computations (89.4% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 057 | 6 | 1 063 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 059 | 17 | 1 076 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 58.6% | (/.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)))) | |
| ✓ | 58.6% | (/.f64 (*.f64 #s(literal 6 binary64) (-.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)))) |
| ✓ | 4.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
| ▶ | 4.0% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| 44.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 56.6% | (/.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)))) |
| ✓ | 99.9% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | 58.6% | (*.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)) |
| ✓ | 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
| ▶ | 46.6% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
| 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) | |
| 42.9% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) | |
| 46.5% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) | |
| ▶ | 4.0% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| ✓ | 56.4% | #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 296 to 209 computations (29.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.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)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 14 110× | lower-fma.f32 |
| 14 106× | lower-fma.f64 |
| 3 080× | lower--.f64 |
| 3 080× | lower--.f32 |
| 2 926× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 263 |
| 0 | 66 | 257 |
| 1 | 110 | 253 |
| 2 | 198 | 253 |
| 3 | 530 | 249 |
| 4 | 1518 | 249 |
| 5 | 4263 | 249 |
| 6 | 5196 | 249 |
| 0 | 8257 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 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) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(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(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 24 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 24 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
#s(literal -24 binary64) |
(sqrt.f64 x) |
x |
#s(literal 6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#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)) |
#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) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 24 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 24 binary64) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
#s(literal -24 binary64) |
(sqrt.f64 x) |
x |
#s(literal 6 binary64) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
#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)))) |
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (/.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 | 56.1% | #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| ✓ | accuracy | 58.6% | #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | accuracy | 46.2% | #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 44.2% | #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 46.6% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) |
| ✓ | accuracy | 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| ✓ | accuracy | 43.5% | #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 55.0ms | 243× | 0 | valid |
| 4.0ms | 8× | 1 | valid |
| 3.0ms | 5× | 2 | valid |
Compiled 208 to 36 computations (82.7% saved)
ival-mult: 17.0ms (39.6% of total)ival-add: 12.0ms (28% of total)ival-div: 6.0ms (14% of total)ival-sqrt: 4.0ms (9.3% of total)adjust: 1.0ms (2.3% of total)ival-sub: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))> |
#<alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))> |
#<alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))))> |
#<alt #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) #s(literal 24 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))> |
#<alt (/.f64 #s(literal -24 binary64) (sqrt.f64 x))> |
#<alt (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))> |
#<alt #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))> |
#<alt (*.f64 x #s(literal 6 binary64))> |
#<alt #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))> |
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))> |
#<alt (/.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))))> |
#<alt #s(approx (* 6 (- x 1)) #s(literal -6 binary64))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -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)))))))> |
#<alt (- (+ (* 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)))))> |
#<alt (- (+ (* -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))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (/ 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)))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -6 (+ 1 (* -4 (sqrt x))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (* 6 (+ 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))))))> |
#<alt (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x)))> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (- (* 24 (sqrt x)) 6)> |
#<alt (* 24 (sqrt x))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x))))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* 24 (sqrt x))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -6 (+ 1 (* -4 (sqrt x))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (* 6 (+ 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))))))> |
#<alt (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 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))))))> |
#<alt (- (* 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))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -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))))))))> |
#<alt (+ (* -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)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 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))))> |
#<alt (- (* -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))))> |
#<alt (- (* -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))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 1.0ms | x | @ | -inf | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 1.0ms | x | @ | -inf | (+ (/ -24 (sqrt x)) 6) |
| 1.0ms | x | @ | 0 | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 0.0ms | x | @ | -inf | (* (sqrt x) 24) |
| 1× | egg-herbie |
| 13 516× | lower-fma.f64 |
| 13 516× | lower-fma.f32 |
| 5 896× | lower-+.f64 |
| 5 896× | lower-+.f32 |
| 4 380× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 5183 |
| 1 | 1047 | 4233 |
| 2 | 3441 | 3952 |
| 0 | 8345 | 3514 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt 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))))) |
(+ (* -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 (* 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)))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(- (* 24 (sqrt x)) 6) |
(* 24 (sqrt x)) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* x (- (* 24 (sqrt (/ 1 x))) (* 6 (/ 1 x)))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* -1 (* x (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x))))) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* 24 (sqrt x)) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(* -24 (sqrt (/ 1 x))) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 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)))))) |
(/ 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 (- (* 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 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 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)))))) |
(/ 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 (- (* 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 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x (+.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 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))) |
(+ (* -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))))))) |
(-.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) 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))))) |
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(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x (+.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 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 #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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))))))) |
(-.f64 (+.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (/.f64 (+.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 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) 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))))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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 4 binary64)))) x) (/.f64 (+.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 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)))) (/.f64 (+.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 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x)) |
(/ -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)))) |
(fma.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 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) 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)))) (* 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 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (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)))) (-.f64 (/.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)) (/.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) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 (fma.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 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 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (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))))) (/.f64 #s(literal -6 binary64) (*.f64 (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)))))) x)) x)) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(- (* 6 x) 6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
| 1× | batch-egg-rewrite |
| 5 230× | lower-/.f32 |
| 5 222× | lower-/.f64 |
| 4 406× | lower-*.f32 |
| 4 400× | lower-*.f64 |
| 3 638× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 230 |
| 0 | 66 | 220 |
| 1 | 273 | 216 |
| 2 | 2106 | 216 |
| 0 | 8503 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 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)) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 24 binary64)) |
(sqrt.f64 x) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
#s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(+.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)) |
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 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)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (+.f64 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)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 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))))) |
(neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (neg.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
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(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64)))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 16 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (*.f64 x x))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64)))) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
#s(approx (* 6 (- x 1)) #s(literal -6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #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))) |
(fma.f64 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 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.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 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x 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)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #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)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
Compiled 20 778 to 1 758 computations (91.5% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 926 | 3 | 929 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 929 | 17 | 946 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 46.7% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) | |
| 58.6% | (/.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)))) | |
| ✓ | 58.6% | (/.f64 (*.f64 #s(literal 6 binary64) (-.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)))) |
| 56.6% | (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| ✓ | 4.2% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 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)))) |
| ✓ | 4.0% | (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| ✓ | 99.9% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | 58.6% | (*.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)) |
| ✓ | 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
| ✓ | 46.6% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
| 58.4% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) | |
| 46.5% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) | |
| 42.9% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) | |
| ✓ | 4.0% | #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| ✓ | 56.4% | #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 473 to 201 computations (57.5% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
(*.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 (* 6 (- x 1)) (*.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
2 calls:
| 15.0ms | (/.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)))) |
| 7.0ms | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
(*.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 (* 6 (- x 1)) (*.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
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 |
|---|---|---|
| 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
(*.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 (* 6 (- x 1)) (*.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| Outputs |
|---|
(*.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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
2 calls:
| 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)))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
(*.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 (* 6 (- x 1)) (*.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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | 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 |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
(*.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)) |
| Outputs |
|---|
(*.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)) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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 (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)))) |
| Outputs |
|---|
(/.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)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) x))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (/ -24 (sqrt x)) 6) (/.f64 (fma.f64 x #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 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 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)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
2 calls:
| 4.0ms | 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 |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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 (- 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt (/ 1 x)) -24) 6) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64) #s(literal 6 binary64))) |
| 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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
2 calls:
| 3.0ms | 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 |
|---|---|---|
| 98.5% | 2 | x |
| 98.5% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
#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)))) |
| Outputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
2 calls:
| 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)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
| 98.4% | 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 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 24 binary64)) #s(literal -6 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
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 |
|---|---|---|
| 58.4% | 1 | x |
| 58.4% | 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 17 to 12 computations (29.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
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 |
|---|---|---|
| 4.0% | 1 | x |
| 4.0% | 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 17 to 12 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.264476311988863 | 2.918325185142931 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.264476311988863 | 2.918325185142931 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.918325185142931 | 5.969013488965751 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.918325185142931 | 5.969013488965751 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.264476311988863 | 2.918325185142931 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.264476311988863 | 2.918325185142931 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.264476311988863 | 2.918325185142931 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 16× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 562 |
| 1 | 100 | 562 |
| 2 | 106 | 562 |
| 3 | 113 | 562 |
| 4 | 114 | 562 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(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 -4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(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 -4 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 (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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 5 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)) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 5 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)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 -4 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 -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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 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 -4 binary64)) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(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 -4 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (*.f64 #s(literal 6 binary64) (/.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))))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x #s(approx (+ (* 4 (sqrt x)) 1) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(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 -4 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 (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (*.f64 #s(literal 6 binary64) (/.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))))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 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 5 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)) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 5 binary64)) (*.f64 #s(literal 6 binary64) (/.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(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))))) |
(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 5 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)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 5 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)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))))) |
(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 -4 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(approx (+ (* x 6) -6) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))))) |
(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 -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) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))))) |
(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 -4 binary64)) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) #s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
#s(approx (/ (* (+ (* 6 x) -6) (+ (+ x 1) (* (sqrt x) -4))) (+ (* (+ x 1) (+ x 1)) (* x -16))) #s(approx (+ (* (sqrt x) 24) -6) (*.f64 (sqrt.f64 x) #s(literal 24 binary64)))) |
| 19 378× | lower-fma.f64 |
| 19 378× | lower-fma.f32 |
| 13 516× | lower-fma.f64 |
| 13 516× | lower-fma.f32 |
| 11 330× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 5866 |
| 1 | 1205 | 4820 |
| 2 | 4155 | 4727 |
| 0 | 8712 | 4203 |
| 0 | 335 | 5183 |
| 1 | 1047 | 4233 |
| 2 | 3441 | 3952 |
| 0 | 8345 | 3514 |
| 0 | 407 | 6048 |
| 1 | 1249 | 5140 |
| 2 | 4127 | 5044 |
| 0 | 8339 | 4513 |
| 0 | 41 | 205 |
| 0 | 66 | 198 |
| 1 | 260 | 192 |
| 2 | 2149 | 192 |
| 0 | 8298 | 187 |
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1055 | 829 |
| 3 | 3184 | 747 |
| 0 | 8584 | 670 |
| 0 | 43 | 214 |
| 0 | 61 | 206 |
| 1 | 267 | 203 |
| 2 | 2276 | 203 |
| 0 | 9089 | 193 |
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 966 to 464 computations (52% saved)
Compiled 634 to 142 computations (77.6% saved)
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