
Time bar (total: 10.4s)
| 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)
| 910.0ms | 8 256× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
ival-mult: 404.0ms (57.7% of total)ival-sqrt: 107.0ms (15.3% of total)ival-add: 73.0ms (10.4% of total)ival-div: 51.0ms (7.3% of total)ival-sub: 47.0ms (6.7% of total)exact: 10.0ms (1.4% of total)ival-true: 5.0ms (0.7% 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 |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | o/n | 1 | 0 |
| ↳ | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 36× | 1 | valid |
| 33.0ms | 456× | 0 | valid |
| 4.0ms | 20× | 2 | valid |
Compiled 120 to 48 computations (60% saved)
ival-mult: 73.0ms (80.1% of total)ival-add: 5.0ms (5.5% of total)ival-sqrt: 4.0ms (4.4% of total)ival-div: 3.0ms (3.3% of total)ival-sub: 3.0ms (3.3% of total)adjust: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.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 | 99.8% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 16.0ms | 228× | 0 | valid |
| 5.0ms | 18× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 45 to 13 computations (71.1% saved)
ival-mult: 3.0ms (24.8% of total)ival-div: 2.0ms (16.5% of total)ival-add: 2.0ms (16.5% of total)ival-sub: 2.0ms (16.5% of total)ival-sqrt: 2.0ms (16.5% of total)adjust: 1.0ms (8.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (* 6 (- x 1)) |
| 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)))) |
| 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))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
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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)) |
| 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) |
Compiled 17 649 to 1 738 computations (90.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 11 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 582 | 11 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.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)) | |
| 74.5% | (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #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)))) | |
| ▶ | 49.1% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ▶ | 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| ▶ | 46.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 52.9% | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 75.1% | (*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 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 (sqrt.f64 x) #s(literal -4 binary64)))) | |
| 75.1% | (*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #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)))) | |
| ▶ | 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)) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
Compiled 338 to 232 computations (31.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
| ✓ | 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (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))) (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 | (+.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)) |
| 1 216× | lower-fma.f32 |
| 1 212× | lower-fma.f64 |
| 688× | lower-*.f32 |
| 682× | lower-*.f64 |
| 474× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 176 |
| 0 | 41 | 176 |
| 1 | 78 | 176 |
| 2 | 132 | 176 |
| 3 | 165 | 176 |
| 4 | 255 | 176 |
| 5 | 446 | 176 |
| 6 | 947 | 176 |
| 7 | 2033 | 176 |
| 8 | 2340 | 176 |
| 9 | 2393 | 176 |
| 10 | 2393 | 176 |
| 11 | 2395 | 176 |
| 0 | 2395 | 170 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(/.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))) (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) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
#s(literal -6 binary64) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(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 x #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) 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 (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) |
| 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) |
(/.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))) (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)) (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) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.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) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(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 x #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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(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) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(+.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (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 | 99.7% | (/.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)))) |
| 39.0ms | 228× | 0 | valid |
| 6.0ms | 18× | 1 | valid |
| 5.0ms | 10× | 2 | valid |
Compiled 178 to 27 computations (84.8% saved)
ival-div: 9.0ms (29% of total)ival-mult: 8.0ms (25.8% of total)ival-add: 7.0ms (22.6% of total)adjust: 2.0ms (6.4% of total)ival-sub: 2.0ms (6.4% of total)ival-sqrt: 2.0ms (6.4% of total)exact: 1.0ms (3.2% 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 (/.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))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (-.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))> |
#<alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)> |
#<alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))> |
#<alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)> |
| 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))))> |
#<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 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 6 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 6 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 6 (- (* -4 (sqrt x)) 1))> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)> |
#<alt (/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)> |
#<alt (* 3/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))> |
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))> |
#<alt (* -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))> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<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 (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> |
#<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 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))> |
#<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 (* 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 (- (* -4 (sqrt x)) 1))> |
#<alt (+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (/ -6 (- (* -4 (sqrt x)) 1))> |
#<alt (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))> |
#<alt (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))> |
#<alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)> |
#<alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)> |
#<alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (* 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)))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1)) |
| 2.0ms | x | @ | -inf | (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1)) |
| 1.0ms | x | @ | -inf | (* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1)) |
| 1.0ms | x | @ | inf | (* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1)) |
| 1.0ms | x | @ | 0 | (* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1)) |
| 1× | batch-egg-rewrite |
| 4 888× | lower-/.f32 |
| 4 878× | lower-/.f64 |
| 4 470× | lower-fma.f32 |
| 4 466× | lower-fma.f64 |
| 3 422× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 121 |
| 0 | 41 | 121 |
| 1 | 187 | 121 |
| 2 | 1564 | 121 |
| 0 | 8686 | 116 |
| 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))) |
(/.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))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(-.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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(+.f64 (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 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))) |
(-.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(fma.f64 x (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (*.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (*.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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) (neg.f64 (-.f64 #s(literal -1 binary64) x)))) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.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 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (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) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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 (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) (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 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (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))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))))) |
(*.f64 (*.f64 (+.f64 x (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 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 (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) (neg.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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 (neg.f64 (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) (neg.f64 (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 (neg.f64 (*.f64 (+.f64 x (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 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (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))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 9 168× | lower-fma.f64 |
| 9 168× | lower-fma.f32 |
| 5 200× | lower-*.f64 |
| 5 200× | lower-*.f32 |
| 4 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 4496 |
| 1 | 1352 | 4001 |
| 2 | 4222 | 3856 |
| 0 | 8721 | 3482 |
| 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 (- (* -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 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* 3/2 (sqrt x)) |
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))) |
(* -3/2 (sqrt x)) |
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
-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 (* 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 (- (* -4 (sqrt x)) 1)) |
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(/ -6 (- (* -4 (sqrt x)) 1)) |
(- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)) |
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x) |
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x) |
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) |
(- (* -4 (sqrt x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (* 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))))) |
| 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 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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)))))) |
(- (* 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 #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)))))) x) (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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))))))) |
(- (* 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)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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 (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 x x))) |
(/ 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 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (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 (+ 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 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.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)) (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))))))))) |
(+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) 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)) (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))) (/.f64 (fma.f64 #s(literal -6 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 #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))) |
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(fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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)))))) |
(- (* 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 #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)))))) x) (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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))))))) |
(- (* 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)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #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 (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 x x))) |
(/ 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 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (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 (+ 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 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.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)) (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))))))))) |
(+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) 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)) (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))) (/.f64 (fma.f64 #s(literal -6 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 #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 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 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 (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 (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))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) x) (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 (/.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 (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))))) (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) (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 (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)))))) x)) x)) x)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) 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 #s(literal 4 binary64) x) 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)) |
Compiled 54 796 to 3 955 computations (92.8% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 090 | 15 | 2 105 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 092 | 24 | 2 116 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) | |
| ▶ | 1.6% | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
| ▶ | 49.1% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| 99.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| 74.5% | (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #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)))) | |
| ▶ | 99.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
| 4.8% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) | |
| 52.5% | (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| ✓ | 49.1% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x)) | |
| ✓ | 46.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 4.3% | (/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) | |
| 52.9% | (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 75.1% | (*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 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 (sqrt.f64 x) #s(literal -4 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)) |
| 55.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) | |
| ▶ | 46.4% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
| 4.3% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) | |
| 4.6% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) | |
| ▶ | 4.0% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 532 to 395 computations (25.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (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 | 192 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) |
| 3 328× | lower-fma.f32 |
| 3 316× | lower-fma.f64 |
| 1 920× | lower-*.f32 |
| 1 914× | lower-*.f64 |
| 1 190× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 129 |
| 0 | 47 | 129 |
| 1 | 77 | 129 |
| 2 | 126 | 128 |
| 3 | 217 | 128 |
| 4 | 303 | 128 |
| 5 | 453 | 128 |
| 6 | 723 | 128 |
| 7 | 1131 | 128 |
| 8 | 2014 | 128 |
| 9 | 2864 | 127 |
| 10 | 4157 | 127 |
| 11 | 5404 | 127 |
| 12 | 5944 | 127 |
| 13 | 6241 | 127 |
| 14 | 6267 | 127 |
| 15 | 6283 | 127 |
| 16 | 6653 | 127 |
| 17 | 6854 | 127 |
| 18 | 6854 | 127 |
| 19 | 6854 | 127 |
| 20 | 6910 | 127 |
| 21 | 6962 | 127 |
| 22 | 7018 | 127 |
| 23 | 7218 | 127 |
| 24 | 7218 | 127 |
| 0 | 7218 | 124 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3/2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3/2 binary64) |
#s(literal 3/8 binary64) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (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) |
(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 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
x |
#s(literal 16 binary64) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3/2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3/2 binary64) |
#s(literal 3/8 binary64) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
#s(literal 6 binary64) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
x |
#s(literal 16 binary64) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) |
| 46.0ms | 228× | 0 | valid |
| 6.0ms | 18× | 1 | valid |
| 5.0ms | 10× | 2 | valid |
Compiled 131 to 33 computations (74.8% saved)
ival-div: 11.0ms (27.6% of total)ival-mult: 11.0ms (27.6% of total)ival-add: 9.0ms (22.6% of total)const: 4.0ms (10% of total)adjust: 2.0ms (5% of total)ival-sqrt: 2.0ms (5% of total)exact: 1.0ms (2.5% of total)ival-sub: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))> |
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)> |
#<alt (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))> |
#<alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))> |
#<alt (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))> |
#<alt (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (* -1/6 (- (* -4 (sqrt x)) 1))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))> |
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))> |
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))> |
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))> |
#<alt (* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))> |
#<alt (/ 6 (- (* -4 (sqrt x)) 1))> |
#<alt (+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))> |
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<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 (- (* -4 (sqrt x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (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 (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))> |
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))> |
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))> |
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))> |
#<alt (+ 3/8 (* -3/2 (sqrt x)))> |
#<alt (+ 3/8 (* -3/2 (sqrt x)))> |
#<alt (+ 3/8 (* -3/2 (sqrt x)))> |
#<alt (+ 3/8 (* -3/2 (sqrt x)))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)> |
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8)> |
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x))))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x)))> |
#<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 (* 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 (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x)))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x)))))))))> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))> |
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))> |
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt -6> |
#<alt (- (* -96 x) 6)> |
#<alt (- (* x (- (* -1536 x) 96)) 6)> |
#<alt (- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)> |
#<alt (/ 3/8 x)> |
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)> |
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)> |
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)> |
#<alt (/ 3/8 x)> |
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))> |
#<alt -1> |
#<alt (- (* 16 x) 1)> |
#<alt (- (* 16 x) 1)> |
#<alt (- (* 16 x) 1)> |
#<alt (* 16 x)> |
#<alt (* x (- 16 (/ 1 x)))> |
#<alt (* x (- 16 (/ 1 x)))> |
#<alt (* x (- 16 (/ 1 x)))> |
#<alt (* 16 x)> |
#<alt (* -1 (* x (- (/ 1 x) 16)))> |
#<alt (* -1 (* x (- (/ 1 x) 16)))> |
#<alt (* -1 (* x (- (/ 1 x) 16)))> |
#<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))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1)) |
| 1.0ms | x | @ | -inf | (/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1)) |
| 1.0ms | x | @ | -inf | (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
| 1.0ms | x | @ | inf | (/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1)) |
| 1× | batch-egg-rewrite |
| 4 520× | lower-/.f32 |
| 4 512× | lower-/.f64 |
| 4 284× | lower-fma.f32 |
| 4 272× | lower-fma.f64 |
| 3 328× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 96 |
| 0 | 47 | 96 |
| 1 | 196 | 96 |
| 2 | 1558 | 93 |
| 0 | 8983 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(sqrt.f64 x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1/6 binary64)) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))) (neg.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) (neg.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1/6 binary64))) (neg.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) (neg.f64 x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))))) |
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(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 9 496× | lower-fma.f64 |
| 9 496× | lower-fma.f32 |
| 4 492× | lower-+.f64 |
| 4 492× | lower-+.f32 |
| 4 032× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 2472 |
| 1 | 950 | 2206 |
| 2 | 2862 | 2073 |
| 3 | 7257 | 2051 |
| 0 | 8228 | 1846 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (- (* -4 (sqrt x)) 1)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) |
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
-1 |
(- 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))) |
(- (* -4 (sqrt x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(- (+ (* -4 (sqrt x)) (* -1 x)) 1) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (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))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(* -3/2 (sqrt (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))) |
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))) |
(+ 3/8 (* -3/2 (sqrt x))) |
(+ 3/8 (* -3/2 (sqrt x))) |
(+ 3/8 (* -3/2 (sqrt x))) |
(+ 3/8 (* -3/2 (sqrt x))) |
(* -3/2 (sqrt x)) |
(* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* 3/2 (sqrt x)) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))))) |
(* -3/2 (sqrt x)) |
(- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
-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 (* 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)))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x))))))))) |
(* -3/2 (sqrt (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))) |
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
-6 |
(- (* -96 x) 6) |
(- (* x (- (* -1536 x) 96)) 6) |
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6) |
(/ 3/8 x) |
(/ (+ 3/8 (* 3/128 (/ 1 x))) x) |
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x) |
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x) |
(/ 3/8 x) |
(/ (+ 3/8 (* 3/128 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x)) |
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x)) |
-1 |
(- (* 16 x) 1) |
(- (* 16 x) 1) |
(- (* 16 x) 1) |
(* 16 x) |
(* x (- 16 (/ 1 x))) |
(* x (- 16 (/ 1 x))) |
(* x (- 16 (/ 1 x))) |
(* 16 x) |
(* -1 (* x (- (/ 1 x) 16))) |
(* -1 (* x (- (/ 1 x) 16))) |
(* -1 (* x (- (/ 1 x) 16))) |
(+ 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 |
|---|
(* -1/6 (- (* -4 (sqrt x)) 1)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) x)) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/6 binary64)) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/6 binary64)) |
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/6 binary64)) |
(* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 1/6 binary64)) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 1/6 binary64)) |
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 1/6 binary64)) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(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 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 x (fma.f64 x (/.f64 (+.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))))) (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 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
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(fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) |
(* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) |
(* -1 (* x (- (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x))))) |
(fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) |
(/ -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 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8) |
(fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -3/8 binary64)) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8) |
(fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal -1/4 binary64)) #s(literal -3/8 binary64))) |
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))))) |
(fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 x #s(literal -3/8 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal -1/4 binary64)) #s(literal -3/8 binary64)))) |
(* -3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2))) |
(fma.f64 #s(literal 3/2 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/8 binary64)) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 x #s(literal 3/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) #s(literal -1 binary64))) x)) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) (*.f64 x #s(literal -3/8 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))) x) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x) #s(literal 3/8 binary64))) |
-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)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 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)) |
(* 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 (sqrt.f64 x) #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x))))))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -1536 binary64) #s(literal -96 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x))))))))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) x) (fma.f64 x #s(literal -24576 binary64) #s(literal -1536 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)))) |
(* -3/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 3/8 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (*.f64 x x)) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))) |
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) |
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (/.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x))) x)) |
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64)) #s(literal -3/8 binary64)) (/.f64 (fma.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (/.f64 #s(literal 3/128 binary64) x))) x)) x)) |
-6 |
#s(literal -6 binary64) |
(- (* -96 x) 6) |
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
(- (* x (- (* -1536 x) 96)) 6) |
(fma.f64 x (fma.f64 x #s(literal -1536 binary64) #s(literal -96 binary64)) #s(literal -6 binary64)) |
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -24576 binary64) #s(literal -1536 binary64)) #s(literal -96 binary64)) #s(literal -6 binary64)) |
(/ 3/8 x) |
(/.f64 #s(literal 3/8 binary64) x) |
(/ (+ 3/8 (* 3/128 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x) |
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 #s(literal 3/128 binary64) x) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)))) x) |
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 3/128 binary64) x) (+.f64 (/.f64 #s(literal 3/32768 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x))))) x) |
(/ 3/8 x) |
(/.f64 #s(literal 3/8 binary64) x) |
(/ (+ 3/8 (* 3/128 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x)) |
(/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 #s(literal -3/2048 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x)) |
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 #s(literal 3/128 binary64) (+.f64 (/.f64 #s(literal 3/2048 binary64) x) (/.f64 #s(literal 3/32768 binary64) (*.f64 x x)))) x)) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 16 x) 1) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(- (* 16 x) 1) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(- (* 16 x) 1) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* 16 x) |
(*.f64 x #s(literal 16 binary64)) |
(* x (- 16 (/ 1 x))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* x (- 16 (/ 1 x))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* x (- 16 (/ 1 x))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* 16 x) |
(*.f64 x #s(literal 16 binary64)) |
(* -1 (* x (- (/ 1 x) 16))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 16))) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 16))) |
(fma.f64 x #s(literal 16 binary64) #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)) |
(+ 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) |
Compiled 24 543 to 2 664 computations (89.1% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 119 | 6 | 1 125 |
| Fresh | 5 | 9 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 125 | 24 | 1 149 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) | |
| ✓ | 1.6% | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
| ✓ | 49.1% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ▶ | 99.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| 7.0% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| ▶ | 99.7% | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
| 99.3% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (neg.f64 x)) #s(literal -1/6 binary64))) | |
| ✓ | 99.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) |
| ▶ | 4.8% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| 52.5% | (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| ✓ | 49.1% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| 99.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x)) | |
| 52.9% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| ✓ | 46.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 4.3% | (/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 47.7% | (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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)) |
| 55.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
| ▶ | 4.6% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.0% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 446 to 344 computations (22.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (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 | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.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 | (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (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)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
| 808× | lower-fma.f32 |
| 796× | lower-fma.f64 |
| 416× | lower-*.f32 |
| 408× | lower-*.f64 |
| 180× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 48 | 134 |
| 1 | 85 | 134 |
| 2 | 149 | 134 |
| 3 | 271 | 134 |
| 4 | 458 | 134 |
| 5 | 590 | 134 |
| 6 | 604 | 134 |
| 7 | 639 | 134 |
| 8 | 652 | 134 |
| 9 | 667 | 134 |
| 10 | 691 | 134 |
| 11 | 691 | 134 |
| 12 | 701 | 134 |
| 13 | 713 | 134 |
| 14 | 713 | 134 |
| 0 | 713 | 130 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
#s(literal -1/6 binary64) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3/2 binary64) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
x |
#s(literal -96 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
#s(literal -1/6 binary64) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
#s(literal -4 binary64) |
(sqrt.f64 x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3/2 binary64) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
x |
#s(literal -96 binary64) |
#s(literal -6 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -6 binary64) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(sqrt.f64 x) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| 53.0ms | 194× | 0 | valid |
| 18.0ms | 44× | 1 | valid |
| 10.0ms | 18× | 2 | valid |
Compiled 136 to 34 computations (75% saved)
ival-mult: 28.0ms (46.6% of total)ival-add: 11.0ms (18.3% of total)ival-div: 7.0ms (11.7% of total)const: 7.0ms (11.7% of total)adjust: 4.0ms (6.7% of total)ival-sqrt: 3.0ms (5% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))> |
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))> |
#<alt (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))> |
#<alt (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))> |
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (*.f64 x #s(literal 6 binary64))> |
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))> |
#<alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))> |
#<alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (* -1/6 (- (* -4 (sqrt x)) 1))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))> |
#<alt (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))> |
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))> |
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))> |
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))> |
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))> |
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))> |
#<alt (/ 6 (- (* -4 (sqrt x)) 1))> |
#<alt (+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))> |
#<alt (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))> |
#<alt (- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))> |
#<alt (- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))))> |
#<alt (/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))> |
#<alt (- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))> |
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))> |
#<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 (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<alt (- (* -4 (sqrt x)) 1)> |
#<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 (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (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 (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))> |
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))> |
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))> |
#<alt (* 384 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))> |
#<alt (* -384 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))> |
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))> |
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))> |
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))> |
#<alt -6> |
#<alt (- (* -96 x) 6)> |
#<alt (- (* -96 x) 6)> |
#<alt (- (* -96 x) 6)> |
#<alt (* -96 x)> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))> |
#<alt (* -96 x)> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 96 (* 6 (/ 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 (/ x (+ 1 (* 4 (sqrt x)))))> |
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))> |
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))> |
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (- (* 3/2 (sqrt x)) 3/8)> |
#<alt (- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)> |
#<alt (- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))> |
#<alt (+ (* -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)))> |
#<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 (* 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 (- (* 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 (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* (+ (* x -96) -6) (+ (* (sqrt x) -4) 1)) |
| 1.0ms | x | @ | -inf | (/ (+ x -1) (+ (* -1/6 (+ (* -4 (sqrt x)) -1)) (* x 1/6))) |
| 1.0ms | x | @ | -inf | (/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) 1) x)) |
| 1.0ms | x | @ | inf | (/ (+ x -1) (+ (* -1/6 (+ (* -4 (sqrt x)) -1)) (* x 1/6))) |
| 1.0ms | x | @ | inf | (/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) 1) x)) |
| 1× | batch-egg-rewrite |
| 4 362× | lower-/.f32 |
| 4 356× | lower-/.f64 |
| 4 290× | lower-fma.f32 |
| 4 278× | lower-fma.f64 |
| 3 498× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 100 |
| 0 | 48 | 100 |
| 1 | 204 | 100 |
| 2 | 1579 | 100 |
| 0 | 8659 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt.f64 x) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
(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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))))) |
(+.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) #s(literal 1/6 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) x (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1/6 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 8/27 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x)) #s(literal -4 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.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 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.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 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.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 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.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 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) |
(/.f64 (-.f64 (*.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 (*.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (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) (fma.f64 x (-.f64 x (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 (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) (fma.f64 x x (-.f64 (*.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 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (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) (neg.f64 (fma.f64 x (-.f64 x (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 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 x 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 1 binary64) (-.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
| 1× | egg-herbie |
| 12 562× | lower-fma.f64 |
| 12 562× | lower-fma.f32 |
| 5 050× | lower-*.f64 |
| 5 050× | lower-*.f32 |
| 4 028× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 2766 |
| 1 | 1027 | 2450 |
| 2 | 3222 | 2353 |
| 0 | 8499 | 2127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (- (* -4 (sqrt x)) 1)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) |
(- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))) |
(- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))) |
(/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) |
(- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
-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))) |
(- (* -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)))) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (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)))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(* 384 (sqrt (pow x 3))) |
(* (pow x 2) (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2)))) |
(* -384 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x)))) |
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x)))) |
-6 |
(- (* -96 x) 6) |
(- (* -96 x) 6) |
(- (* -96 x) 6) |
(* -96 x) |
(* -1 (* x (+ 96 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 96 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 96 (* 6 (/ 1 x))))) |
(* -96 x) |
(* -1 (* x (+ 96 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 96 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 96 (* 6 (/ 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 (/ x (+ 1 (* 4 (sqrt x))))) |
(* 6 (/ x (+ 1 (* 4 (sqrt x))))) |
(* 6 (/ x (+ 1 (* 4 (sqrt x))))) |
(* 6 (/ x (+ 1 (* 4 (sqrt x))))) |
(* 3/2 (sqrt x)) |
(- (* 3/2 (sqrt x)) 3/8) |
(- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8) |
(- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x))))) |
(* -3/2 (sqrt x)) |
(+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) |
(+ (* -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))) |
(* 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 (* 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)))) |
(- (* 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))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
| Outputs |
|---|
(* -1/6 (- (* -4 (sqrt x)) 1)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x)))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x)))) |
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x)))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x))))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x))))) |
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x)))))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x))))) |
(/ 6 (- (* -4 (sqrt x)) 1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 x (*.f64 (/.f64 #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))) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(fma.f64 x (fma.f64 x (*.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 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (/.f64 #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))) #s(literal -6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) |
(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 (/.f64 #s(literal 6 binary64) (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))) #s(literal 1 binary64))) (*.f64 (/.f64 #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))) #s(literal -6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) |
(/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) |
(+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) x)) |
(- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))))) |
(- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/216 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))))) |
(/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) |
(- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))))) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) x)) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) |
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/216 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 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)) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(- (* -4 (sqrt x)) 1) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) |
(- (* -4 (sqrt x)) 1) |
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* 3/2 (sqrt x)) |
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(+.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 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (+.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)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))) (fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #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)) (*.f64 #s(literal 4 binary64) x) x)))))) |
(- (+ (* -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)))))) |
(+.f64 (/.f64 (+.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) (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 x (*.f64 x x))) (+.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #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)) (*.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 (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 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 (* 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))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #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)) (*.f64 #s(literal 4 binary64) x) x)))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (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 #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) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (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 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.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 (+.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)) (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)) (*.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) (*.f64 x (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)) 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 (* 4 (sqrt x))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 #s(literal 4 binary64) x) x) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
Compiled 29 793 to 2 799 computations (90.6% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 219 | 7 | 1 226 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 3 | 6 | 9 |
| Total | 1 226 | 24 | 1 250 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) | |
| 10.9% | (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) | |
| 8.0% | (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) | |
| ✓ | 1.6% | (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
| ✓ | 49.1% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 99.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| 99.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)) | |
| 54.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) | |
| 7.0% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| 74.3% | (/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) | |
| 99.7% | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 4.8% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| 4.6% | (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| ✓ | 49.1% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| 52.9% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) | |
| ✓ | 46.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 4.3% | (/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) | |
| 46.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ✓ | 47.7% | (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| 55.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | 4.6% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.0% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 722 to 320 computations (55.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 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)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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) (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 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 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 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #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 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 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 (sqrt.f64 x) #s(literal -4 binary64)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (neg.f64 x)) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #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)))) |
| 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:
| 13.0ms | x |
| 9.0ms | (/.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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 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)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
2 calls:
| 10.0ms | x |
| 6.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 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)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) |
2 calls:
| 9.0ms | x |
| 6.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (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 (*.f64 (sqrt.f64 x) #s(literal 4 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 |
|---|---|---|
| 96.9% | 2 | x |
| 96.9% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
2 calls:
| 12.0ms | (/.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 |
|---|---|---|
| 96.9% | 2 | x |
| 96.9% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 7.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 1 | x |
| 49.1% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 9.0ms | 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 |
|---|---|---|
| 49.1% | 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)))) |
| 49.1% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (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 (sqrt.f64 x) #s(literal 4 binary64))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #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)))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 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)))) |
| 48.8% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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 |
|---|---|---|
| 10.9% | 1 | x |
| 10.9% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 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 |
|---|---|---|
| 11.1% | 2 | x |
| 11.1% | 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 |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
2 calls:
| 2.0ms | 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 |
|---|---|---|
| 7.0% | 2 | x |
| 7.0% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 4.0% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4138825905076011 | 4.611179391905284 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4138825905076011 | 4.611179391905284 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4138825905076011 | 4.611179391905284 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.2427451710667945 | 191.356750524754 |
| 8.0ms | 128× | 0 | valid |
Compiled 114 to 95 computations (16.7% saved)
ival-sub: 1.0ms (19.3% of total)ival-div: 1.0ms (19.3% of total)ival-add: 1.0ms (19.3% of total)ival-mult: 1.0ms (19.3% of total)ival-sqrt: 1.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | 52 | 189 |
| 1 | 72 | 189 |
| 2 | 78 | 189 |
| 3 | 85 | 189 |
| 4 | 86 | 189 |
| 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 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (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 (*.f64 (sqrt.f64 x) #s(literal 4 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 -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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 -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (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 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) 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 -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (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 (*.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 -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) 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 -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 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 #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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 -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 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 -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| 19 378× | lower-fma.f64 |
| 19 378× | lower-fma.f32 |
| 12 562× | lower-fma.f64 |
| 12 562× | lower-fma.f32 |
| 9 496× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 526 | 32 |
| 0 | 8441 | 28 |
| 0 | 469 | 4496 |
| 1 | 1352 | 4001 |
| 2 | 4222 | 3856 |
| 0 | 8721 | 3482 |
| 0 | 23 | 121 |
| 0 | 41 | 121 |
| 1 | 187 | 121 |
| 2 | 1564 | 121 |
| 0 | 8686 | 116 |
| 0 | 335 | 2472 |
| 1 | 950 | 2206 |
| 2 | 2862 | 2073 |
| 3 | 7257 | 2051 |
| 0 | 8228 | 1846 |
| 0 | 358 | 2766 |
| 1 | 1027 | 2450 |
| 2 | 3222 | 2353 |
| 0 | 8499 | 2127 |
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1055 | 829 |
| 3 | 3184 | 747 |
| 0 | 8584 | 670 |
| 0 | 27 | 100 |
| 0 | 48 | 100 |
| 1 | 204 | 100 |
| 2 | 1579 | 100 |
| 0 | 8659 | 96 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 485 to 275 computations (43.3% saved)
Compiled 440 to 142 computations (67.7% saved)
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