
Time bar (total: 12.4s)
| 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)
| 977.0ms | 8 256× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
ival-sub: 294.0ms (45.9% of total)ival-mult: 134.0ms (20.9% of total)ival-add: 72.0ms (11.2% of total)ival-sqrt: 70.0ms (10.9% of total)ival-div: 50.0ms (7.8% of total)exact: 11.0ms (1.7% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 832× | accelerator-lowering-fma.f32 |
| 832× | accelerator-lowering-fma.f64 |
| 448× | *-lowering-*.f32 |
| 448× | *-lowering-*.f64 |
| 352× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 49 |
| 1 | 50 | 46 |
| 2 | 126 | 44 |
| 3 | 325 | 44 |
| 4 | 778 | 44 |
| 5 | 1687 | 44 |
| 6 | 2383 | 44 |
| 7 | 2690 | 44 |
| 8 | 2766 | 44 |
| 9 | 2784 | 44 |
| 10 | 2786 | 44 |
| 11 | 2792 | 44 |
| 0 | 11 | 14 |
| 1 | 24 | 14 |
| 2 | 45 | 14 |
| 3 | 52 | 14 |
| 4 | 72 | 14 |
| 5 | 106 | 14 |
| 6 | 175 | 14 |
| 7 | 286 | 14 |
| 8 | 519 | 14 |
| 9 | 794 | 14 |
| 10 | 1342 | 14 |
| 11 | 1594 | 14 |
| 12 | 1619 | 14 |
| 0 | 1619 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt 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)))) |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))) |
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))) |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/ (+ -6 (* 6 x)) (+ x (+ 1 (* 4 (sqrt x))))) |
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))) |
(/ (+ -6 (* x -6)) (+ (- 1 x) (* 4 (sqrt (neg x))))) |
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))) |
(/ (+ -6 (* x -6)) (+ (+ x -1) (* (sqrt (neg x)) -4))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 35.0ms | 476× | 0 | valid |
| 4.0ms | 22× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 120 to 48 computations (60% saved)
ival-add: 6.0ms (23.6% of total)ival-mult: 6.0ms (23.6% of total)ival-sqrt: 5.0ms (19.7% of total)ival-div: 3.0ms (11.8% of total)ival-sub: 3.0ms (11.8% of total)adjust: 1.0ms (3.9% of total)exact: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.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 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 832× | accelerator-lowering-fma.f32 |
| 832× | accelerator-lowering-fma.f64 |
| 448× | *-lowering-*.f32 |
| 448× | *-lowering-*.f64 |
| 250× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 24 | 43 |
| 2 | 45 | 43 |
| 3 | 52 | 43 |
| 4 | 72 | 43 |
| 5 | 106 | 43 |
| 6 | 175 | 43 |
| 7 | 286 | 43 |
| 8 | 519 | 43 |
| 9 | 794 | 43 |
| 10 | 1342 | 43 |
| 11 | 1594 | 43 |
| 12 | 1619 | 43 |
| 0 | 1619 | 39 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(+ (+ x 1) (* 4 (sqrt x))) |
(+ x 1) |
(* 4 (sqrt x)) |
4 |
(sqrt x) |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt 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)))) |
(* 6 (- x 1)) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ (+ x 1) (* 4 (sqrt x))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
(* 4 (sqrt x)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 0 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (/.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)))) |
| 51.0ms | 238× | 0 | valid |
| 2.0ms | 11× | 2 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 45 to 13 computations (71.1% saved)
ival-add: 36.0ms (77.8% of total)ival-mult: 3.0ms (6.5% of total)ival-div: 2.0ms (4.3% of total)ival-sub: 2.0ms (4.3% of total)ival-sqrt: 2.0ms (4.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (+ x 1) (* 4 (sqrt x)))> |
#<alt (* 6 (- x 1))> |
#<alt (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))> |
#<alt (- x 1)> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<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> |
#<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 (+ 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 | |
|---|---|---|---|---|
| 16.0ms | x | @ | inf | (+ (+ x 1) (* 4 (sqrt x))) |
| 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 | @ | 0 | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (+ (+ x 1) (* 4 (sqrt x))) |
| 1× | batch-egg-rewrite |
| 6 996× | accelerator-lowering-fma.f32 |
| 6 996× | accelerator-lowering-fma.f64 |
| 5 704× | *-lowering-*.f32 |
| 5 704× | *-lowering-*.f64 |
| 4 836× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 62 | 32 |
| 2 | 519 | 32 |
| 0 | 8411 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ x 1) (* 4 (sqrt x))) |
(* 6 (- x 1)) |
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(- x 1) |
(sqrt x) |
| Outputs |
|---|
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (neg.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(+.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(-.f64 (/.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 4 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(fma.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.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)))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
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(/.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 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.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) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) #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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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 (+.f64 x #s(literal 1 binary64)) #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 (*.f64 x 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)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.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 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.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 (+.f64 x #s(literal 1 binary64)) #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 (*.f64 x 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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 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 (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 x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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 (+.f64 x #s(literal 1 binary64)) #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 x (*.f64 (*.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 (+.f64 x #s(literal 1 binary64)) #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)) (-.f64 #s(literal 0 binary64) (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 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #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× | accelerator-lowering-fma.f32 |
| 19 378× | accelerator-lowering-fma.f64 |
| 4 238× | *-lowering-*.f32 |
| 4 238× | *-lowering-*.f64 |
| 3 520× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1055 | 829 |
| 3 | 3187 | 747 |
| 0 | 8588 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(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 |
|---|
(+ 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 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)) |
(* 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))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(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 |
#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)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (fma.f64 (/.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 x #s(literal -6 binary64) #s(literal 6 binary64)) (/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 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 x (/.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) (*.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 (/.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 #s(literal 6 binary64) (*.f64 (*.f64 x (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)))) |
(+ (* -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) (*.f64 x (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)))) |
(+ (* -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) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #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 (/.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 #s(literal 6 binary64) (*.f64 (*.f64 x (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)))) |
(- (* -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 #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 -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))))) (*.f64 x (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 (/ (+ (* -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 (+.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))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.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)))))) 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 17 804 to 1 740 computations (90.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 583 | 11 | 594 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 584 | 11 | 595 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.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)) | |
| 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) | |
| ▶ | 69.8% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| 69.7% | (/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) | |
| ▶ | 52.9% | (/.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))) |
| 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) | |
| ▶ | 50.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 50.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 70.7% | (*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
Compiled 350 to 242 computations (30.9% 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) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) |
| ✓ | cost-diff | 832 | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
| ✓ | 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 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| 16 744× | accelerator-lowering-fma.f32 |
| 16 744× | accelerator-lowering-fma.f64 |
| 3 018× | *-lowering-*.f32 |
| 3 018× | *-lowering-*.f64 |
| 2 404× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 200 |
| 1 | 71 | 200 |
| 2 | 180 | 200 |
| 3 | 532 | 200 |
| 4 | 1720 | 200 |
| 5 | 5110 | 200 |
| 0 | 8011 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) 6) |
(/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) |
(+ x -1) |
x |
-1 |
(+ (* 4 (sqrt x)) (+ x 1)) |
4 |
(sqrt x) |
(+ x 1) |
1 |
6 |
(/ 6 (+ (* (sqrt x) -4) -1)) |
6 |
(+ (* (sqrt x) -4) -1) |
(sqrt x) |
x |
-4 |
-1 |
(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1)) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(+ (* 4 (sqrt x)) 1) |
4 |
(sqrt x) |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) (+ x -1)) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
6 |
(+ (* 4 (sqrt x)) (+ x 1)) |
4 |
(sqrt x) |
x |
(+ x 1) |
1 |
(+ x -1) |
-1 |
(/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
(* (+ (* x x) -1) 6) |
(+ (* x x) -1) |
x |
-1 |
6 |
(* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1)) |
(+ (* 4 (sqrt x)) (+ x 1)) |
4 |
(sqrt x) |
(+ x 1) |
1 |
| Outputs |
|---|
(* (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) 6) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ (* 4 (sqrt x)) (+ x 1)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(/ 6 (+ (* (sqrt x) -4) -1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(+ (* (sqrt x) -4) -1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-4 |
#s(literal -4 binary64) |
-1 |
#s(literal -1 binary64) |
(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 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))) |
(* 6 (- x 1)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ (* 4 (sqrt x)) 1) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) (+ x -1)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ (* 4 (sqrt x)) (+ x 1)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(* (+ (* x x) -1) 6) |
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
6 |
#s(literal 6 binary64) |
(* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(+ (* 4 (sqrt x)) (+ x 1)) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) |
| ✓ | accuracy | 70.7% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (/.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% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (/.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% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| 49.0ms | 238× | 0 | valid |
| 6.0ms | 11× | 2 | valid |
| 3.0ms | 7× | 1 | valid |
Compiled 192 to 29 computations (84.9% saved)
ival-mult: 13.0ms (36.7% of total)ival-add: 9.0ms (25.4% of total)ival-div: 8.0ms (22.6% of total)ival-sqrt: 2.0ms (5.6% of total)adjust: 1.0ms (2.8% of total)ival-sub: 1.0ms (2.8% of total)exact: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) 6)> |
#<alt (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1)))> |
#<alt (+ x -1)> |
#<alt (+ (* 4 (sqrt x)) (+ x 1))> |
#<alt (/ 6 (+ (* (sqrt x) -4) -1))> |
#<alt (+ (* (sqrt x) -4) -1)> |
#<alt (sqrt x)> |
#<alt (* 6 (- x 1))> |
#<alt (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))> |
#<alt (- x 1)> |
#<alt (+ (* 4 (sqrt x)) 1)> |
#<alt (* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) (+ x -1))> |
#<alt (/ 6 (+ (* 4 (sqrt x)) (+ x 1)))> |
#<alt (/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1)))> |
#<alt (* (+ (* x x) -1) 6)> |
#<alt (+ (* x x) -1)> |
#<alt (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))> |
| 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 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt x))))> |
#<alt (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)> |
#<alt (/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)> |
#<alt (/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)> |
#<alt (/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))> |
#<alt (* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (/ (* x (+ 2 (* 4 (sqrt x)))) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (* x (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ (+ 2 (* 4 (sqrt x))) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (/ (+ 2 (* 4 (sqrt x))) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (* x (+ (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))) (+ (* 4 (* (sqrt x) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ (* (+ 2 (* 4 (sqrt x))) (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))))))) (* 6 (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3)))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (pow x 2))) (+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (* -1 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ 1 (* 4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (pow x 2))) (+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* -6 (/ (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (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 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (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)) (+ (* -1 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* 6 (/ (+ (* -1 (/ (* (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2) (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* -1 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* -1 (/ (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))) x)) (* 6 (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt -6> |
#<alt (- (* 6 (pow x 2)) 6)> |
#<alt (- (* 6 (pow x 2)) 6)> |
#<alt (- (* 6 (pow x 2)) 6)> |
#<alt (* 6 (pow x 2))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* 6 (pow x 2))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2)))))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (* 4 (sqrt x))))))> |
#<alt (+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (+ x (* 4 (sqrt x)))))))> |
#<alt (+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (+ x (* 4 (sqrt x)))))))> |
#<alt (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 2) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2) x))))> |
#<alt (* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
| 2.0ms | x | @ | -inf | (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1)) |
| 2.0ms | x | @ | inf | (/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
| 1.0ms | x | @ | inf | (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | 0 | (/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
| 1× | batch-egg-rewrite |
| 5 984× | /-lowering-/.f32 |
| 5 984× | /-lowering-/.f64 |
| 4 672× | *-lowering-*.f32 |
| 4 672× | *-lowering-*.f64 |
| 4 100× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 141 |
| 1 | 174 | 141 |
| 2 | 1629 | 141 |
| 0 | 8558 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) 6) |
(/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) |
(+ x -1) |
(+ (* 4 (sqrt x)) (+ x 1)) |
(/ 6 (+ (* (sqrt x) -4) -1)) |
(+ (* (sqrt x) -4) -1) |
(sqrt x) |
(* 6 (- x 1)) |
(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1)) |
(- x 1) |
(+ (* 4 (sqrt x)) 1) |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) (+ x -1)) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
(/ (* (+ (* x x) -1) 6) (* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1))) |
(* (+ (* x x) -1) 6) |
(+ (* x x) -1) |
(* (+ (* 4 (sqrt x)) (+ x 1)) (+ x 1)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #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) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)))) |
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 8 034× | accelerator-lowering-fma.f32 |
| 8 034× | accelerator-lowering-fma.f64 |
| 5 560× | *-lowering-*.f32 |
| 5 560× | *-lowering-*.f64 |
| 2 832× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 5321 |
| 1 | 1483 | 4593 |
| 2 | 4809 | 4417 |
| 0 | 8380 | 3999 |
| 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 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(/ 6 (+ 1 (* 4 (sqrt x)))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (/ (* x (+ 2 (* 4 (sqrt x)))) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (* x (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ (+ 2 (* 4 (sqrt x))) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ (+ 2 (* 4 (sqrt x))) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (* x (+ (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))) (+ (* 4 (* (sqrt x) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ (* (+ 2 (* 4 (sqrt x))) (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))))))) (* 6 (- (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (/ (pow (+ 2 (* 4 (sqrt x))) 2) (pow (+ 1 (* 4 (sqrt x))) 3)))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (pow x 2))) (+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (* -1 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ 1 (* 4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* -6 (/ (+ (* -1 (/ (* (+ 2 (* 4 (sqrt (/ 1 x)))) (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (pow x 2))) (+ (* -6 (/ (+ (* 4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 2 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* -6 (/ (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (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 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (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)) (+ (* -1 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* 6 (/ (+ (* -1 (/ (* (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2) (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* -1 (/ (* (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* -1 (/ (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))) x)) (* 6 (- (* 2 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
-6 |
(- (* 6 (pow x 2)) 6) |
(- (* 6 (pow x 2)) 6) |
(- (* 6 (pow x 2)) 6) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 6 (/ 1 (pow x 2))))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (* 4 (sqrt x)))))) |
(+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (+ x (* 4 (sqrt x))))))) |
(+ 1 (+ (* 4 (sqrt x)) (* x (+ 2 (+ x (* 4 (sqrt x))))))) |
(* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))))) |
(* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 2) (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2) x)))) |
(* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x)))) |
(* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x)))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (/.f64 (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+.f64 (/.f64 (+.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)))) (neg.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+.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)))) (neg.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.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 (-.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 #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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 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)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.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 (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (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) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))))))) x)) x)) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+.f64 (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(- (* 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))))) |
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(- (* 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)) |
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(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x))) |
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(*.f64 (*.f64 x 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 2 binary64)) x))) |
(* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) x))) |
(* (pow x 2) (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 2 (/ 1 x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) x))) |
Compiled 81 211 to 5 162 computations (93.6% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 561 | 15 | 2 576 |
| Fresh | 5 | 1 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 568 | 19 | 2 587 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) | |
| ▶ | 52.9% | (/.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))) |
| 99.8% | (/.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)))) | |
| 99.8% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) | |
| ✓ | 69.8% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| 4.5% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) | |
| ✓ | 52.9% | (/.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))) |
| ✓ | 50.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 4.5% | (/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) | |
| 50.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
| 49.0% | (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ▶ | 50.4% | (*.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))) |
| 48.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) | |
| ▶ | 50.4% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
| 4.5% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) | |
| 4.3% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) | |
| ▶ | 4.1% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 393 to 302 computations (23.2% saved)
| 1× | egg-herbie |
Found 18 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 | 0 | (/.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 -4 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
| 2 336× | accelerator-lowering-fma.f32 |
| 2 336× | accelerator-lowering-fma.f64 |
| 1 440× | *-lowering-*.f32 |
| 1 440× | *-lowering-*.f64 |
| 478× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 157 |
| 1 | 62 | 157 |
| 2 | 96 | 155 |
| 3 | 142 | 155 |
| 4 | 190 | 155 |
| 5 | 233 | 155 |
| 6 | 297 | 155 |
| 7 | 397 | 155 |
| 8 | 481 | 155 |
| 9 | 673 | 155 |
| 10 | 1239 | 155 |
| 11 | 1682 | 155 |
| 12 | 2473 | 155 |
| 13 | 3295 | 155 |
| 14 | 3486 | 155 |
| 15 | 3536 | 155 |
| 16 | 3537 | 155 |
| 17 | 3537 | 155 |
| 18 | 3621 | 155 |
| 19 | 3657 | 155 |
| 20 | 3657 | 155 |
| 21 | 3671 | 155 |
| 0 | 3671 | 138 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) 6) |
(/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) |
(+ x -1) |
x |
-1 |
(+ (+ (* 4 (sqrt x)) x) 1) |
(+ (* 4 (sqrt x)) x) |
4 |
(sqrt x) |
1 |
6 |
(* (sqrt x) -3/2) |
(sqrt x) |
x |
-3/2 |
(* (/ 1 (+ (* (sqrt x) -4) -1)) 6) |
(/ 1 (+ (* (sqrt x) -4) -1)) |
1 |
(+ (* (sqrt x) -4) -1) |
(sqrt x) |
x |
-4 |
-1 |
6 |
(/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1)) |
(+ (* x 6) -6) |
x |
6 |
-6 |
(+ (* 4 (sqrt x)) 1) |
4 |
(sqrt x) |
1 |
(* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
(/ 6 (+ (* x 16) -1)) |
6 |
(+ (* x 16) -1) |
x |
16 |
-1 |
(+ (* (sqrt x) -4) 1) |
(sqrt x) |
-4 |
1 |
| Outputs |
|---|
(* (/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) 6) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ (+ (* 4 (sqrt x)) x) 1) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(+ (* 4 (sqrt x)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(* (sqrt x) -3/2) |
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 0 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3/2 |
#s(literal -3/2 binary64) |
(* (/ 1 (+ (* (sqrt x) -4) -1)) 6) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/ 1 (+ (* (sqrt x) -4) -1)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* (sqrt x) -4) -1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-4 |
#s(literal -4 binary64) |
-1 |
#s(literal -1 binary64) |
6 |
#s(literal 6 binary64) |
(/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 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))) |
(+ (* x 6) -6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
-6 |
#s(literal -6 binary64) |
(+ (* 4 (sqrt x)) 1) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
(/.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))) |
(/ 6 (+ (* x 16) -1)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(+ (* x 16) -1) |
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) |
x |
16 |
#s(literal 16 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* (sqrt x) -4) 1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-4 |
#s(literal -4 binary64) |
1 |
#s(literal 1 binary64) |
Found 18 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 | 100.0% | (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 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 | 100.0% | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (/.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 | 100.0% | (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 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% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
| 58.0ms | 238× | 0 | valid |
| 12.0ms | 11× | 2 | valid |
| 3.0ms | 7× | 1 | valid |
Compiled 145 to 32 computations (77.9% saved)
ival-add: 18.0ms (38.9% of total)ival-mult: 17.0ms (36.7% of total)ival-div: 7.0ms (15.1% of total)ival-sqrt: 2.0ms (4.3% of total)adjust: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) 6)> |
#<alt (/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1))> |
#<alt (+ x -1)> |
#<alt (+ (+ (* 4 (sqrt x)) x) 1)> |
#<alt (sqrt x)> |
#<alt (* (sqrt x) -3/2)> |
#<alt (* (/ 1 (+ (* (sqrt x) -4) -1)) 6)> |
#<alt (/ 1 (+ (* (sqrt x) -4) -1))> |
#<alt (+ (* (sqrt x) -4) -1)> |
#<alt (/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1))> |
#<alt (+ (* x 6) -6)> |
#<alt (+ (* 4 (sqrt x)) 1)> |
#<alt (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1))> |
#<alt (/ 6 (+ (* x 16) -1))> |
#<alt (+ (* x 16) -1)> |
#<alt (+ (* (sqrt x) -4) 1)> |
#<alt (+ (* 4 (sqrt x)) 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 (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 (* -3/2 (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 (/ 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 (/ 1 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 1 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 1 (- (* -4 (sqrt x)) 1))> |
#<alt (/ 1 (- (* -4 (sqrt x)) 1))> |
#<alt (* -1/4 (sqrt (/ 1 x)))> |
#<alt (/ (+ 1/16 (* -1/4 (sqrt x))) x)> |
#<alt (/ (+ 1/16 (+ (* -1/4 (sqrt x)) (* -1/64 (sqrt (/ 1 x))))) x)> |
#<alt (/ (- (+ 1/16 (+ (* -1/4 (sqrt x)) (* 1/256 (/ 1 x)))) (* 1/64 (sqrt (/ 1 x)))) x)> |
#<alt (* 1/4 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (sqrt x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt 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 (/ -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))))> |
#<alt (* 4 (sqrt x))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 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)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
| 1.0ms | x | @ | -inf | (/ (+ (* 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 | (* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
| 1× | batch-egg-rewrite |
| 4 652× | accelerator-lowering-fma.f32 |
| 4 652× | accelerator-lowering-fma.f64 |
| 4 498× | /-lowering-/.f32 |
| 4 498× | /-lowering-/.f64 |
| 3 608× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 120 |
| 1 | 176 | 120 |
| 2 | 1494 | 120 |
| 0 | 9245 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) 6) |
(/ (+ x -1) (+ (+ (* 4 (sqrt x)) x) 1)) |
(+ x -1) |
(+ (+ (* 4 (sqrt x)) x) 1) |
(sqrt x) |
(* (sqrt x) -3/2) |
(* (/ 1 (+ (* (sqrt x) -4) -1)) 6) |
(/ 1 (+ (* (sqrt x) -4) -1)) |
(+ (* (sqrt x) -4) -1) |
(/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1)) |
(+ (* x 6) -6) |
(+ (* 4 (sqrt x)) 1) |
(* (/ 6 (+ (* x 16) -1)) (+ (* (sqrt x) -4) 1)) |
(/ 6 (+ (* x 16) -1)) |
(+ (* x 16) -1) |
(+ (* (sqrt x) -4) 1) |
(+ (* 4 (sqrt x)) x) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) |
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 #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 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (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 (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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.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 0 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 (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 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (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 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 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 (/.f64 #s(literal -1 binary64) (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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (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 (/.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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) |
(+.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) |
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) |
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 x #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (fma.f64 x x (*.f64 x #s(literal -16 binary64))))) |
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(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (fma.f64 x x (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) |
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(/.f64 (fma.f64 x x (*.f64 x #s(literal -16 binary64))) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 x #s(literal -16 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) |
(*.f64 (fma.f64 x x (*.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
| 1× | egg-herbie |
| 11 970× | accelerator-lowering-fma.f32 |
| 11 970× | accelerator-lowering-fma.f64 |
| 5 934× | +-lowering-+.f64 |
| 5 934× | +-lowering-+.f32 |
| 4 914× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 3273 |
| 1 | 1302 | 2893 |
| 2 | 3921 | 2778 |
| 0 | 8536 | 2511 |
| 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))))) |
(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))) |
(* -3/2 (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))) |
(/ 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)) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(/ 1 (- (* -4 (sqrt x)) 1)) |
(* -1/4 (sqrt (/ 1 x))) |
(/ (+ 1/16 (* -1/4 (sqrt x))) x) |
(/ (+ 1/16 (+ (* -1/4 (sqrt x)) (* -1/64 (sqrt (/ 1 x))))) x) |
(/ (- (+ 1/16 (+ (* -1/4 (sqrt x)) (* 1/256 (/ 1 x)))) (* 1/64 (sqrt (/ 1 x)))) x) |
(* 1/4 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (sqrt x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt 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)))) |
(/ -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)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #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 x (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (fma.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)) (*.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)))))) |
(fma.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 (/.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) (fma.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)) (*.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))))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(fma.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+.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 #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)))) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (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 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
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(+ (* 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 (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 (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 #s(literal 3/128 binary64) (/.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 0 binary64) 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 3/8 binary64) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32768 binary64) (*.f64 x (*.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)) (-.f64 #s(literal 0 binary64) 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 (/.f64 #s(literal 3/2048 binary64) x) (+.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 3/32768 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) 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 (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)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(+ x (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(+ x (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(+ x (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
Compiled 32 970 to 3 308 computations (90% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 473 | 3 | 1 476 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 479 | 16 | 1 495 |
| Status | Accuracy | Program |
|---|---|---|
| 52.6% | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) | |
| ✓ | 52.9% | (/.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))) |
| ▶ | 99.8% | (/.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)))) |
| 6.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| 99.8% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) | |
| ✓ | 69.8% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ▶ | 4.5% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 52.9% | (/.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))) |
| ✓ | 50.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 50.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 51.7% | (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
| 49.0% | (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) | |
| ▶ | 48.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
| ▶ | 4.3% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.1% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 277 to 216 computations (22% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 | (fma.f64 x #s(literal -96 binary64) #s(literal -6 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 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| 704× | accelerator-lowering-fma.f32 |
| 704× | accelerator-lowering-fma.f64 |
| 392× | *-lowering-*.f32 |
| 392× | *-lowering-*.f64 |
| 148× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 142 |
| 1 | 56 | 142 |
| 2 | 98 | 142 |
| 3 | 190 | 142 |
| 4 | 328 | 142 |
| 5 | 473 | 142 |
| 6 | 522 | 142 |
| 7 | 549 | 142 |
| 8 | 574 | 142 |
| 9 | 585 | 142 |
| 10 | 594 | 142 |
| 11 | 615 | 142 |
| 12 | 615 | 142 |
| 13 | 623 | 142 |
| 14 | 633 | 142 |
| 15 | 633 | 142 |
| 0 | 633 | 128 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
(+ (* x 6) -6) |
x |
6 |
-6 |
(+ x (+ (* 4 (sqrt x)) 1)) |
(+ (* 4 (sqrt x)) 1) |
4 |
(sqrt x) |
1 |
(* (sqrt x) 3/2) |
(sqrt x) |
x |
3/2 |
(* (+ (* (sqrt x) -4) 1) (+ (* x -96) -6)) |
(+ (* (sqrt x) -4) 1) |
(sqrt x) |
x |
-4 |
1 |
(+ (* x -96) -6) |
-96 |
-6 |
(/ (* x 6) (+ (* 4 (sqrt x)) 1)) |
(* x 6) |
x |
6 |
(+ (* 4 (sqrt x)) 1) |
4 |
(sqrt x) |
1 |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) x) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
6 |
(+ (* 4 (sqrt x)) (+ x 1)) |
4 |
(sqrt x) |
x |
(+ x 1) |
1 |
| Outputs |
|---|
(/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
(/.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)))) |
(+ (* x 6) -6) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
-6 |
#s(literal -6 binary64) |
(+ x (+ (* 4 (sqrt x)) 1)) |
(+.f64 x (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 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 3/2) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3/2 |
#s(literal 3/2 binary64) |
(* (+ (* (sqrt x) -4) 1) (+ (* x -96) -6)) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(+ (* (sqrt x) -4) 1) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-4 |
#s(literal -4 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x -96) -6) |
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) |
-96 |
#s(literal -96 binary64) |
-6 |
#s(literal -6 binary64) |
(/ (* x 6) (+ (* 4 (sqrt x)) 1)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(* x 6) |
(*.f64 x #s(literal 6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(+ (* 4 (sqrt x)) 1) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) x) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
(/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ (* 4 (sqrt x)) (+ x 1)) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (/.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 | 99.8% | (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 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 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (/.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)))) |
| 60.0ms | 194× | 0 | valid |
| 15.0ms | 40× | 1 | valid |
| 10.0ms | 22× | 2 | valid |
Compiled 130 to 28 computations (78.5% saved)
ival-mult: 41.0ms (61.8% of total)ival-add: 10.0ms (15.1% of total)ival-div: 7.0ms (10.5% of total)ival-sqrt: 4.0ms (6% of total)adjust: 3.0ms (4.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1)))> |
#<alt (+ (* x 6) -6)> |
#<alt (+ x (+ (* 4 (sqrt x)) 1))> |
#<alt (+ (* 4 (sqrt x)) 1)> |
#<alt (* (sqrt x) 3/2)> |
#<alt (sqrt x)> |
#<alt (* (+ (* (sqrt x) -4) 1) (+ (* x -96) -6))> |
#<alt (+ (* (sqrt x) -4) 1)> |
#<alt (+ (* x -96) -6)> |
#<alt (/ (* x 6) (+ (* 4 (sqrt x)) 1))> |
#<alt (* x 6)> |
#<alt (* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) x)> |
#<alt (/ 6 (+ (* 4 (sqrt x)) (+ x 1)))> |
#<alt (+ (* 4 (sqrt x)) (+ x 1))> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* 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 (+ 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> |
#<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 (* 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 (* 6 (/ x (+ 1 (* 4 (sqrt x)))))> |
#<alt (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))> |
#<alt (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))> |
#<alt (* x (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))> |
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (* -1 (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))> |
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -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 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt x))))> |
#<alt (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)> |
#<alt (/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)> |
#<alt (/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)> |
#<alt (/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))> |
#<alt (* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))> |
#<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)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 1.0ms | x | @ | inf | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 1.0ms | x | @ | 0 | (/ (* x 6) (+ (* 4 (sqrt x)) 1)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
| 1.0ms | x | @ | -inf | (* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) x) |
| 1× | batch-egg-rewrite |
| 7 102× | accelerator-lowering-fma.f32 |
| 7 102× | accelerator-lowering-fma.f64 |
| 4 238× | /-lowering-/.f32 |
| 4 238× | /-lowering-/.f64 |
| 3 476× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 105 |
| 1 | 156 | 105 |
| 2 | 1397 | 105 |
| 0 | 8850 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1))) |
(+ (* x 6) -6) |
(+ x (+ (* 4 (sqrt x)) 1)) |
(+ (* 4 (sqrt x)) 1) |
(* (sqrt x) 3/2) |
(sqrt x) |
(* (+ (* (sqrt x) -4) 1) (+ (* x -96) -6)) |
(+ (* (sqrt x) -4) 1) |
(+ (* x -96) -6) |
(/ (* x 6) (+ (* 4 (sqrt x)) 1)) |
(* x 6) |
(* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) x) |
(/ 6 (+ (* 4 (sqrt x)) (+ x 1))) |
(+ (* 4 (sqrt x)) (+ x 1)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 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 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -36 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal -6 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) |
(neg.f64 (*.f64 #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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal 36 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal 36 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal 36 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #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 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 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))) (*.f64 x (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 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 x x (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x #s(literal 16 binary64))))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 16 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #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 (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 #s(literal 0 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x #s(literal 16 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (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) 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 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -16 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 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)))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))) |
| 1× | egg-herbie |
| 12 830× | accelerator-lowering-fma.f32 |
| 12 830× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 2 874× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 2687 |
| 1 | 934 | 2391 |
| 2 | 2809 | 2336 |
| 0 | 8208 | 2108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) |
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* 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)))) |
(+ 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 |
(- (* -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))))) |
(* 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) |
(* 6 (/ x (+ 1 (* 4 (sqrt x))))) |
(* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))) |
(* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))) |
(* x (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(* -1 (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))) |
(- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -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 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(/ 6 (+ 1 (* 4 (sqrt x)))) |
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/ (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(+ 1 (* 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))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x (/.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x))))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #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)) |
(- (+ (* 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))))) |
(-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #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 #s(literal 0 binary64) 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)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 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)))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) |
(/ -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 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 6 binary64) (/.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)))) |
(- (* -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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) x)) |
(- (* -1 (/ (+ (* -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 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (*.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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #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))))) x) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) x)) |
-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 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)) |
(* 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))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(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)) |
(+ 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)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -4 binary64)) #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)) |
(*.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) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 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) |
(* -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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x))))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(* 384 (sqrt (pow x 3))) |
(*.f64 #s(literal 384 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x))))) |
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(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #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) |
(/ (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #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 #s(literal -6 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))) x) |
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(/.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)))) |
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #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 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) #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 #s(literal 6 binary64) (*.f64 x (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) x)) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.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 #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 x x)) (/.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))) x) |
(+ 1 (* 4 (sqrt x))) |
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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)) |
(* 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))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(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 24 969 to 2 373 computations (90.5% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 143 | 7 | 1 150 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 145 | 21 | 1 166 |
| Status | Accuracy | Program |
|---|---|---|
| 52.6% | (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) | |
| 11.3% | (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)) | |
| ✓ | 52.9% | (/.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))) |
| 99.8% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) | |
| 51.3% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 6.9% | (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| 99.8% | (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) | |
| ✓ | 69.8% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 4.5% | (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) |
| 4.3% | (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) | |
| ✓ | 52.9% | (/.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))) |
| ✓ | 50.4% | (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
| 50.6% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 50.6% | (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) | |
| ✓ | 51.7% | (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
| ✓ | 48.9% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
| 4.5% | (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) | |
| ✓ | 4.3% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.1% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| 4.5% | (*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
Compiled 635 to 272 computations (57.2% 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 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 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) |
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
2 calls:
| 12.0ms | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
2 calls:
| 13.0ms | x |
| 7.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
2 calls:
| 8.0ms | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
2 calls:
| 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)))) |
| 7.0ms | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)) |
2 calls:
| 8.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | x |
| 97.3% | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x) |
2 calls:
| 9.0ms | x |
| 5.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | x |
| 97.3% | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
(/.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:
| 12.0ms | 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 |
|---|---|---|
| 52.9% | 1 | x |
| 52.9% | 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 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 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(/.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 #s(literal 4 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 52.6% | 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)) |
| 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 |
|---|---|---|
| 11.3% | 1 | x |
| 11.3% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
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 |
|---|---|---|
| 6.9% | 2 | x |
| 6.9% | 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)
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 |
|---|---|---|
| 4.1% | 1 | x |
| 4.1% | 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)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.104762113445375 | 2.753540748571192 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.104762113445375 | 2.753540748571192 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.104762113445375 | 2.753540748571192 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 175 |
| 1 | 66 | 175 |
| 2 | 72 | 175 |
| 3 | 79 | 175 |
| 4 | 80 | 175 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) x)) |
(/.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 -5 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 -5 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.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 -5 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 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 -5 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× | accelerator-lowering-fma.f32 |
| 19 378× | accelerator-lowering-fma.f64 |
| 12 830× | accelerator-lowering-fma.f32 |
| 12 830× | accelerator-lowering-fma.f64 |
| 11 970× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 940 |
| 1 | 372 | 865 |
| 2 | 1055 | 829 |
| 3 | 3187 | 747 |
| 0 | 8588 | 670 |
| 0 | 317 | 2687 |
| 1 | 934 | 2391 |
| 2 | 2809 | 2336 |
| 0 | 8208 | 2108 |
| 0 | 456 | 3273 |
| 1 | 1302 | 2893 |
| 2 | 3921 | 2778 |
| 0 | 8536 | 2511 |
| 0 | 492 | 5321 |
| 1 | 1483 | 4593 |
| 2 | 4809 | 4417 |
| 0 | 8380 | 3999 |
| 0 | 27 | 141 |
| 1 | 174 | 141 |
| 2 | 1629 | 141 |
| 0 | 8558 | 123 |
| 0 | 11 | 32 |
| 1 | 62 | 32 |
| 2 | 519 | 32 |
| 0 | 8411 | 28 |
| 0 | 26 | 105 |
| 1 | 156 | 105 |
| 2 | 1397 | 105 |
| 0 | 8850 | 92 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 450 to 261 computations (42% saved)
Compiled 412 to 136 computations (67% saved)
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