
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 789.0ms | 8 256× | 0 | valid |
ival-mult: 111.0ms (30.3% of total)ival-add: 104.0ms (28.4% of total)ival-div: 68.0ms (18.6% of total)ival-sub: 66.0ms (18% of total)exact: 9.0ms (2.5% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| 2× | egg-herbie |
| 4 256× | accelerator-lowering-fma.f32 |
| 4 256× | accelerator-lowering-fma.f64 |
| 1 398× | div-sub |
| 1 352× | div-sub |
| 1 344× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 143 |
| 1 | 134 | 130 |
| 2 | 397 | 130 |
| 3 | 1129 | 130 |
| 4 | 3308 | 114 |
| 5 | 7511 | 114 |
| 0 | 12 | 13 |
| 1 | 24 | 13 |
| 2 | 52 | 13 |
| 3 | 102 | 13 |
| 4 | 204 | 13 |
| 5 | 462 | 9 |
| 6 | 934 | 9 |
| 7 | 1766 | 9 |
| 8 | 2881 | 9 |
| 9 | 4608 | 9 |
| 10 | 5345 | 9 |
| 11 | 5941 | 9 |
| 12 | 5948 | 9 |
| 13 | 5950 | 9 |
| 14 | 5950 | 9 |
| 15 | 6168 | 9 |
| 16 | 6277 | 9 |
| 17 | 6277 | 9 |
| 18 | 6277 | 9 |
| 19 | 6277 | 9 |
| 20 | 6309 | 9 |
| 21 | 6435 | 9 |
| 0 | 6435 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
| Outputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
| Inputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)) |
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))) |
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)) |
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))) |
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))) |
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))) |
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x)) |
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y)) |
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z)) |
| Outputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
(+ 1 (* 4 (- 3/4 (/ (- z x) y)))) |
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)) |
(+ 1 (* 4 (- 3/4 (/ (+ x z) y)))) |
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))) |
(+ 1 (* 4 (+ 3/4 (/ (- z x) y)))) |
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)) |
(- 1 (* 4 (- -3/4 (/ (+ x z) y)))) |
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))) |
(+ -1 (* 4 (+ -3/4 (/ (+ x z) y)))) |
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))) |
(+ -1 (* 4 (+ -3/4 (/ (- x z) y)))) |
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))) |
(+ -1 (* 4 (- -3/4 (/ (+ x z) y)))) |
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x)) |
(- 1 (* (- (- z (* x 3/4)) y) (/ 4 x))) |
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y)) |
(+ 1 (* 4 (+ 3/4 (/ (- z x) y)))) |
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z)) |
(+ 1 (* (+ x (- (* z 3/4) y)) (/ 4 z))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3/4 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) | o/n | 2 | 0 |
| ↳ | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 444× | 0 | valid |
| 28.0ms | 2× | 4 | valid |
| 5.0ms | 34× | 1 | valid |
| 4.0ms | 16× | 3 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 144 to 52 computations (63.9% saved)
ival-mult: 8.0ms (33.4% of total)ival-add: 6.0ms (25.1% of total)ival-div: 4.0ms (16.7% of total)ival-sub: 3.0ms (12.5% of total)adjust: 2.0ms (8.4% of total)exact: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4 256× | accelerator-lowering-fma.f32 |
| 4 256× | accelerator-lowering-fma.f64 |
| 1 352× | div-sub |
| 1 344× | *-lowering-*.f32 |
| 1 344× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 1 | 24 | 54 |
| 2 | 52 | 54 |
| 3 | 102 | 54 |
| 4 | 204 | 54 |
| 5 | 462 | 48 |
| 6 | 934 | 48 |
| 7 | 1766 | 48 |
| 8 | 2881 | 48 |
| 9 | 4608 | 48 |
| 10 | 5345 | 48 |
| 11 | 5941 | 48 |
| 12 | 5948 | 48 |
| 13 | 5950 | 48 |
| 14 | 5950 | 48 |
| 15 | 6168 | 48 |
| 16 | 6277 | 48 |
| 17 | 6277 | 48 |
| 18 | 6277 | 48 |
| 19 | 6277 | 48 |
| 20 | 6309 | 48 |
| 21 | 6435 | 48 |
| 0 | 6435 | 43 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
1 |
(/ (* 4 (- (+ x (* y 3/4)) z)) y) |
(* 4 (- (+ x (* y 3/4)) z)) |
4 |
(- (+ x (* y 3/4)) z) |
(+ x (* y 3/4)) |
x |
(* y 3/4) |
y |
3/4 |
z |
| Outputs |
|---|
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (* 4 (- (+ x (* y 3/4)) z)) y) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) |
(* 4 (- (+ x (* y 3/4)) z)) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
4 |
#s(literal 4 binary64) |
(- (+ x (* y 3/4)) z) |
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) |
(+ x (* y 3/4)) |
(fma.f64 y #s(literal 3/4 binary64) x) |
x |
(* y 3/4) |
(*.f64 y #s(literal 3/4 binary64)) |
y |
3/4 |
#s(literal 3/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) |
| ✓ | accuracy | 99.9% | (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z) |
| ✓ | accuracy | 99.8% | (+.f64 x (*.f64 y #s(literal 3/4 binary64))) |
| ✓ | accuracy | 99.1% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 21.0ms | 222× | 0 | valid |
| 2.0ms | 17× | 1 | valid |
| 2.0ms | 8× | 3 | valid |
| 2.0ms | 8× | 2 | valid |
| 0.0ms | 1× | 4 | valid |
Compiled 56 to 14 computations (75% saved)
ival-mult: 4.0ms (33.2% of total)ival-add: 3.0ms (24.9% of total)ival-div: 2.0ms (16.6% of total)adjust: 1.0ms (8.3% of total)ival-sub: 1.0ms (8.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* 4 (- (+ x (* y 3/4)) z)) y)> |
#<alt (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))> |
#<alt (+ x (* y 3/4))> |
#<alt (* 4 (- (+ x (* y 3/4)) z))> |
#<alt (- (+ x (* y 3/4)) z)> |
| Outputs |
|---|
#<alt (* 4 (/ (- (* 3/4 y) z) y))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (* 4 (/ (+ x (* 3/4 y)) y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* 3/4 y)> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (* 3/4 y)> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* 3/4 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* 4 (- (* 3/4 y) z))> |
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))> |
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))> |
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))> |
#<alt (* 4 x)> |
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))> |
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))> |
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))> |
#<alt (* 4 x)> |
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))> |
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))> |
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))> |
#<alt (* 4 (- x z))> |
#<alt (+ (* 3 y) (* 4 (- x z)))> |
#<alt (+ (* 3 y) (* 4 (- x z)))> |
#<alt (+ (* 3 y) (* 4 (- x z)))> |
#<alt (* 3 y)> |
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))> |
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))> |
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))> |
#<alt (* 3 y)> |
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))> |
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))> |
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))> |
#<alt (* 4 (+ x (* 3/4 y)))> |
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))> |
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))> |
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))> |
#<alt (* -4 z)> |
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))> |
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))> |
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))> |
#<alt (* -4 z)> |
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (- (* 3/4 y) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (- x z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (* 3/4 y)> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* 3/4 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (* 4 (- (+ x (* y 3/4)) z)) |
| 1.0ms | y | @ | -inf | (/ (* 4 (- (+ x (* y 3/4)) z)) y) |
| 1.0ms | x | @ | inf | (/ (* 4 (- (+ x (* y 3/4)) z)) y) |
| 1.0ms | x | @ | 0 | (/ (* 4 (- (+ x (* y 3/4)) z)) y) |
| 1.0ms | x | @ | -inf | (/ (* 4 (- (+ x (* y 3/4)) z)) y) |
| 1× | batch-egg-rewrite |
| 6 902× | accelerator-lowering-fma.f32 |
| 6 902× | accelerator-lowering-fma.f64 |
| 5 378× | *-lowering-*.f32 |
| 5 378× | *-lowering-*.f64 |
| 3 678× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 68 | 45 |
| 2 | 623 | 45 |
| 0 | 8469 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 4 (- (+ x (* y 3/4)) z)) y) |
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) |
(+ x (* y 3/4)) |
(* 4 (- (+ x (* y 3/4)) z)) |
(- (+ x (* y 3/4)) z) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y)) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
(/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (*.f64 y (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (*.f64 y (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) #s(literal 4 binary64)) (*.f64 y (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))) |
(/.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (*.f64 y (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) #s(literal 4 binary64))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 y #s(literal 3/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y)) |
(*.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y)) |
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) |
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) |
(+.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))) (*.f64 y y))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y)) |
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(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 z (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z (-.f64 z (fma.f64 y #s(literal 3/4 binary64) x))))) |
| 1× | egg-herbie |
| 12 206× | accelerator-lowering-fma.f32 |
| 12 206× | accelerator-lowering-fma.f64 |
| 4 778× | *-lowering-*.f32 |
| 4 778× | *-lowering-*.f64 |
| 2 668× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1462 |
| 1 | 446 | 1462 |
| 2 | 1222 | 1252 |
| 3 | 3684 | 1200 |
| 0 | 8266 | 1070 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
x |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
x |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(* 3/4 y) |
(* y (+ 3/4 (/ x y))) |
(* y (+ 3/4 (/ x y))) |
(* y (+ 3/4 (/ x y))) |
(* 3/4 y) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* 4 (- (* 3/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(* 4 x) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(* 4 (- x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(+ (* 3 y) (* 4 (- x z))) |
(+ (* 3 y) (* 4 (- x z))) |
(* 3 y) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(* 3 y) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(* 4 (+ x (* 3/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(* -4 z) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
x |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(- x z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(* 3/4 y) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* 3/4 y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(+ x (* 3/4 y)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
| Outputs |
|---|
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -3 binary64))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
x |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
x |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* y (+ 3/4 (/ x y))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(* 4 (- (* 3/4 y) z)) |
(fma.f64 y #s(literal 3 binary64) (*.f64 z #s(literal -4 binary64))) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* 4 x) (* 4 (- (* 3/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 4 (- x z)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ (* 3 y) (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* 3 y) (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* 3 y) (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* y (+ 3 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 3))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* 4 (+ x (* 3/4 y))) |
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) x)) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(+ (* -4 z) (* 4 (+ x (* 3/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4)) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z))))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) |
(- (* 3/4 y) z) |
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
x |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
x |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(- x z) |
(-.f64 x z) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(- (+ x (* 3/4 y)) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* 3/4 y) |
(*.f64 #s(literal 3/4 binary64) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(+ x (* 3/4 y)) |
(fma.f64 #s(literal 3/4 binary64) y x) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
Compiled 17 472 to 1 930 computations (89% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 9 | 604 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 596 | 9 | 605 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
| 65.8% | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) | |
| 63.2% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) | |
| ▶ | 37.1% | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| 87.1% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))) y)) | |
| ▶ | 99.6% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))) |
| 30.2% | (*.f64 z (/.f64 #s(literal -4 binary64) y)) | |
| ▶ | 72.7% | (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
| ▶ | 37.6% | #s(literal 4 binary64) |
Compiled 194 to 142 computations (26.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 3/4 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
| 4 304× | accelerator-lowering-fma.f32 |
| 4 304× | accelerator-lowering-fma.f64 |
| 1 392× | *-lowering-*.f32 |
| 1 392× | *-lowering-*.f64 |
| 1 036× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 118 |
| 1 | 47 | 117 |
| 2 | 111 | 117 |
| 3 | 263 | 117 |
| 4 | 564 | 107 |
| 5 | 1641 | 107 |
| 6 | 3815 | 107 |
| 7 | 6281 | 107 |
| 8 | 6948 | 107 |
| 9 | 7035 | 107 |
| 10 | 7086 | 107 |
| 11 | 7092 | 107 |
| 12 | 7460 | 107 |
| 13 | 7771 | 107 |
| 14 | 7771 | 107 |
| 15 | 7771 | 107 |
| 16 | 7803 | 107 |
| 17 | 7916 | 107 |
| 0 | 7916 | 97 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1) |
(/ 4 y) |
4 |
y |
(- (+ (* y 3/4) x) z) |
(+ (* y 3/4) x) |
3/4 |
x |
z |
1 |
4 |
(/ (* 4 x) y) |
(* 4 x) |
4 |
x |
y |
(neg (+ (* x (/ -4 y)) -4)) |
(+ (* x (/ -4 y)) -4) |
x |
(/ -4 y) |
-4 |
y |
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z)))) |
1 |
(/ 4 (/ y (- (+ (* y 3/4) x) z))) |
4 |
(/ y (- (+ (* y 3/4) x) z)) |
y |
(- (+ (* y 3/4) x) z) |
(+ (* y 3/4) x) |
3/4 |
x |
z |
| Outputs |
|---|
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
y |
(- (+ (* y 3/4) x) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(+ (* y 3/4) x) |
(fma.f64 y #s(literal 3/4 binary64) x) |
3/4 |
#s(literal 3/4 binary64) |
x |
z |
1 |
#s(literal 1 binary64) |
4 |
#s(literal 4 binary64) |
(/ (* 4 x) y) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
4 |
#s(literal 4 binary64) |
x |
y |
(neg (+ (* x (/ -4 y)) -4)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ (* x (/ -4 y)) -4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
x |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
-4 |
#s(literal -4 binary64) |
y |
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 4 (/ y (- (+ (* y 3/4) x) z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
4 |
#s(literal 4 binary64) |
(/ y (- (+ (* y 3/4) x) z)) |
(/.f64 y (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))) |
y |
(- (+ (* y 3/4) x) z) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
(+ (* y 3/4) x) |
(fma.f64 y #s(literal 3/4 binary64) x) |
3/4 |
#s(literal 3/4 binary64) |
x |
z |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))) |
| ✓ | accuracy | 99.9% | (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) |
| ✓ | accuracy | 99.8% | (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -4 binary64) y) |
| ✓ | accuracy | 100.0% | (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal 3/4 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) y) |
| ✓ | accuracy | 99.9% | (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
| 56.0ms | 222× | 0 | valid |
| 13.0ms | 17× | 1 | valid |
| 4.0ms | 8× | 3 | valid |
| 3.0ms | 8× | 2 | valid |
| 1.0ms | 1× | 4 | valid |
Compiled 109 to 24 computations (78% saved)
ival-add: 38.0ms (63.8% of total)ival-div: 10.0ms (16.8% of total)ival-mult: 6.0ms (10.1% of total)adjust: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1)> |
#<alt (/ 4 y)> |
#<alt (- (+ (* y 3/4) x) z)> |
#<alt (+ (* y 3/4) x)> |
#<alt (/ (* 4 x) y)> |
#<alt (* 4 x)> |
#<alt (neg (+ (* x (/ -4 y)) -4))> |
#<alt (+ (* x (/ -4 y)) -4)> |
#<alt (/ -4 y)> |
#<alt (/ 4 (/ y (- (+ (* y 3/4) x) z)))> |
#<alt (+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))> |
#<alt (/ y (- (+ (* y 3/4) x) z))> |
| Outputs |
|---|
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (- x z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (* 3/4 y)> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))> |
#<alt (* 3/4 y)> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))> |
#<alt (- (* 3/4 y) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt (- (+ x (* 3/4 y)) z)> |
#<alt x> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (+ x (+ (* -1 z) (* 3/4 y)))> |
#<alt (* -1 z)> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))> |
#<alt x> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (* 3/4 y)> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* y (+ 3/4 (/ x y)))> |
#<alt (* 3/4 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))> |
#<alt (* 3/4 y)> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt (+ x (* 3/4 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt (* x (+ 1 (* 3/4 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt (* 4 x)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (* 4 (/ x y))> |
#<alt (/ (- (* 4 y) (* -4 x)) y)> |
#<alt (/ (- (* 4 y) (* -4 x)) y)> |
#<alt (/ (- (* 4 y) (* -4 x)) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt -4> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (* -4 (/ x y))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))> |
#<alt (* -4 (/ x y))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))> |
#<alt (* -4 (/ x y))> |
#<alt (/ (+ (* -4 x) (* -4 y)) y)> |
#<alt (/ (+ (* -4 x) (* -4 y)) y)> |
#<alt (/ (+ (* -4 x) (* -4 y)) y)> |
#<alt -4> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt -4> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (- (* -4 (/ x y)) 4)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (* 4 (/ (- (* 3/4 y) z) y))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (+ x (* 3/4 y)) y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (/ y (- x z))> |
#<alt (* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))> |
#<alt (* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))> |
#<alt (* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))> |
#<alt (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))> |
#<alt (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))> |
#<alt (+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))> |
#<alt (+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))> |
#<alt (/ y (- (* 3/4 y) z))> |
#<alt (+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)> |
#<alt (/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)> |
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)> |
#<alt (/ y x)> |
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))> |
#<alt (/ y (+ x (* 3/4 y)))> |
#<alt (+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))> |
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))> |
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))> |
#<alt (* -1 (/ y z))> |
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)> |
#<alt (* -1 (/ y z))> |
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (* 4 x) y) |
| 1.0ms | x | @ | inf | (/ y (- (+ (* y 3/4) x) z)) |
| 1.0ms | x | @ | 0 | (/ (* 4 x) y) |
| 0.0ms | y | @ | 0 | (/ (* 4 x) y) |
| 0.0ms | z | @ | 0 | (/ y (- (+ (* y 3/4) x) z)) |
| 1× | batch-egg-rewrite |
| 5 254× | *-lowering-*.f32 |
| 5 254× | *-lowering-*.f64 |
| 4 580× | /-lowering-/.f32 |
| 4 580× | /-lowering-/.f64 |
| 3 520× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 1 | 141 | 86 |
| 2 | 1153 | 86 |
| 0 | 8269 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1) |
(/ 4 y) |
(- (+ (* y 3/4) x) z) |
(+ (* y 3/4) x) |
(/ (* 4 x) y) |
(* 4 x) |
(neg (+ (* x (/ -4 y)) -4)) |
(+ (* x (/ -4 y)) -4) |
(/ -4 y) |
(/ 4 (/ y (- (+ (* y 3/4) x) z))) |
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z)))) |
(/ y (- (+ (* y 3/4) x) z)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64)) |
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(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(pow.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z)))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))))) |
(*.f64 (/.f64 y (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) |
(*.f64 (/.f64 y (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
| 1× | egg-herbie |
| 10 810× | accelerator-lowering-fma.f32 |
| 10 810× | accelerator-lowering-fma.f64 |
| 5 816× | *-lowering-*.f32 |
| 5 816× | *-lowering-*.f64 |
| 3 318× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 3044 |
| 1 | 1002 | 2992 |
| 2 | 2847 | 2853 |
| 0 | 8292 | 2650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(- x z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(* 3/4 y) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* y (- (+ 3/4 (/ x y)) (/ z y))) |
(* 3/4 y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4))) |
(- (* 3/4 y) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
(- (+ x (* 3/4 y)) z) |
x |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) |
(+ x (* 3/4 y)) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(+ x (+ (* -1 z) (* 3/4 y))) |
(* -1 z) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z))))) |
x |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(* 3/4 y) |
(* y (+ 3/4 (/ x y))) |
(* y (+ 3/4 (/ x y))) |
(* y (+ 3/4 (/ x y))) |
(* 3/4 y) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* -1 (* y (- (* -1 (/ x y)) 3/4))) |
(* 3/4 y) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
(+ x (* 3/4 y)) |
x |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
(* x (+ 1 (* 3/4 (/ y x)))) |
x |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* -1 (* x (- (* -3/4 (/ y x)) 1))) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* 4 (/ x y)) |
(/ (- (* 4 y) (* -4 x)) y) |
(/ (- (* 4 y) (* -4 x)) y) |
(/ (- (* 4 y) (* -4 x)) y) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
-4 |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
(* -4 (/ x y)) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))) |
(* -4 (/ x y)) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* -4 (/ x y)) |
(/ (+ (* -4 x) (* -4 y)) y) |
(/ (+ (* -4 x) (* -4 y)) y) |
(/ (+ (* -4 x) (* -4 y)) y) |
-4 |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
-4 |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
(- (* -4 (/ x y)) 4) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(/ y (- x z)) |
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
4/3 |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) |
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) |
4/3 |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y))) |
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y))) |
(/ y (- (* 3/4 y) z)) |
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z))) |
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x) |
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x)) |
(/ y (+ x (* 3/4 y))) |
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
| Outputs |
|---|
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
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#s(literal -4 binary64) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(- (* -4 (/ x y)) 4) |
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) y) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y)))) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z)) |
(/ y (- x z)) |
(/.f64 y (-.f64 x z)) |
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(fma.f64 y (/.f64 (*.f64 y #s(literal -3/4 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 y (-.f64 x z))) |
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(fma.f64 (fma.f64 y (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z))) |
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
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4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal -16/9 binary64) #s(literal 4/3 binary64)) |
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) |
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(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) |
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4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal -16/9 binary64) #s(literal 4/3 binary64)) |
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y))) |
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(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y))) |
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(/ y (- (* 3/4 y) z)) |
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) |
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(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(fma.f64 x (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))) (+.f64 (/.f64 x (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) #s(literal -1 binary64))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))) |
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(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) (neg.f64 y) y) x) |
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(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x) |
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(/ y x) |
(/.f64 y x) |
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(/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) (neg.f64 y) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x)) |
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))) x))) x)) x) |
(/ y (+ x (* 3/4 y))) |
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)) |
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2))) |
(*.f64 (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64)) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(fma.f64 z (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z y) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) x) #s(literal 4 binary64))) (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z) |
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z)) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z) |
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z) |
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (neg.f64 y)) z) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z)) |
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y) (neg.f64 z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) z))) z))) z) y) z) |
Compiled 20 777 to 1 917 computations (90.8% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 954 | 5 | 959 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 958 | 10 | 968 |
| Status | Accuracy | Program |
|---|---|---|
| 68.2% | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) | |
| 72.7% | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) | |
| ▶ | 65.8% | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| ▶ | 63.2% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| ✓ | 37.1% | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| ▶ | 42.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| ▶ | 99.5% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))) |
| 37.0% | (*.f64 (/.f64 #s(literal 4 binary64) y) x) | |
| ▶ | 30.2% | (*.f64 z (/.f64 #s(literal -4 binary64) y)) |
| ✓ | 37.6% | #s(literal 4 binary64) |
Compiled 176 to 130 computations (26.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 4 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 x z)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 z (/.f64 #s(literal -4 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)) |
| 4 352× | accelerator-lowering-fma.f32 |
| 4 352× | accelerator-lowering-fma.f64 |
| 1 440× | *-lowering-*.f32 |
| 1 440× | *-lowering-*.f64 |
| 802× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 127 |
| 1 | 46 | 121 |
| 2 | 79 | 121 |
| 3 | 205 | 121 |
| 4 | 452 | 121 |
| 5 | 804 | 115 |
| 6 | 1538 | 115 |
| 7 | 2715 | 115 |
| 8 | 4015 | 115 |
| 9 | 4408 | 115 |
| 10 | 4522 | 115 |
| 11 | 4539 | 115 |
| 12 | 4540 | 115 |
| 13 | 4540 | 115 |
| 14 | 4696 | 115 |
| 15 | 4772 | 115 |
| 16 | 4772 | 115 |
| 17 | 4772 | 115 |
| 18 | 4772 | 115 |
| 19 | 4772 | 115 |
| 0 | 4772 | 108 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))) |
1 |
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)) |
4 |
(* (/ 1 (+ (* y 3/4) (- x z))) y) |
(/ 1 (+ (* y 3/4) (- x z))) |
(+ (* y 3/4) (- x z)) |
y |
3/4 |
(- x z) |
x |
z |
(* z (/ -4 y)) |
z |
(/ -4 y) |
-4 |
y |
(+ (* z (/ -4 y)) 4) |
z |
(/ -4 y) |
-4 |
y |
4 |
(/ (* 4 (- x z)) y) |
(* 4 (- x z)) |
4 |
(- x z) |
x |
z |
y |
(+ 1 (/ 4 (/ y x))) |
1 |
(/ 4 (/ y x)) |
4 |
(/ y x) |
y |
x |
| Outputs |
|---|
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
4 |
#s(literal 4 binary64) |
(* (/ 1 (+ (* y 3/4) (- x z))) y) |
(/.f64 y (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))) |
(/ 1 (+ (* y 3/4) (- x z))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))) |
(+ (* y 3/4) (- x z)) |
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)) |
y |
3/4 |
#s(literal 3/4 binary64) |
(- x z) |
(-.f64 x z) |
x |
z |
(* z (/ -4 y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
z |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
-4 |
#s(literal -4 binary64) |
y |
(+ (* z (/ -4 y)) 4) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
z |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
-4 |
#s(literal -4 binary64) |
y |
4 |
#s(literal 4 binary64) |
(/ (* 4 (- x z)) y) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (- x z)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
4 |
#s(literal 4 binary64) |
(- x z) |
(-.f64 x z) |
x |
z |
y |
(+ 1 (/ 4 (/ y x))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 4 (/ y x)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
4 |
#s(literal 4 binary64) |
(/ y x) |
(/.f64 y x) |
y |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 4 binary64) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (-.f64 x z) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (-.f64 x z)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -4 binary64) y) |
| ✓ | accuracy | 99.8% | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -4 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 z (/.f64 #s(literal -4 binary64) y)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) |
| 39.0ms | 240× | 0 | valid |
| 3.0ms | 11× | 1 | valid |
| 1.0ms | 3× | 2 | valid |
| 1.0ms | 1× | 4 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 123 to 24 computations (80.5% saved)
ival-div: 10.0ms (41.9% of total)ival-mult: 7.0ms (29.3% of total)ival-add: 4.0ms (16.7% of total)adjust: 1.0ms (4.2% of total)ival-sub: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))> |
#<alt (* (/ 1 (+ (* y 3/4) (- x z))) y)> |
#<alt (+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)))> |
#<alt (/ 1 (+ (* y 3/4) (- x z)))> |
#<alt (* z (/ -4 y))> |
#<alt (/ -4 y)> |
#<alt (+ (* z (/ -4 y)) 4)> |
#<alt (/ (* 4 (- x z)) y)> |
#<alt (* 4 (- x z))> |
#<alt (- x z)> |
#<alt (/ 4 (/ y x))> |
#<alt (+ 1 (/ 4 (/ y x)))> |
#<alt (/ y x)> |
| Outputs |
|---|
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt 3> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (+ 3 (* 4 (/ (- x z) y)))> |
#<alt (* 4 (/ (- (* 3/4 y) z) y))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (+ x (* 3/4 y)) y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))> |
#<alt (/ y (- x z))> |
#<alt (* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))> |
#<alt (* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))> |
#<alt (* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))> |
#<alt (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))> |
#<alt (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))> |
#<alt 4/3> |
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))> |
#<alt (+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))> |
#<alt (+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))> |
#<alt (/ y (- (* 3/4 y) z))> |
#<alt (+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)> |
#<alt (/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)> |
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)> |
#<alt (/ y x)> |
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))> |
#<alt (/ y (+ x (* 3/4 y)))> |
#<alt (+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))> |
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))> |
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))> |
#<alt (* -1 (/ y z))> |
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)> |
#<alt (* -1 (/ y z))> |
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 4 (* 4 (/ (- x z) y)))> |
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))> |
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))> |
#<alt (/ 1 (- x z))> |
#<alt (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))> |
#<alt (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))> |
#<alt (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))> |
#<alt (/ 4/3 y)> |
#<alt (/ (+ 4/3 (* -16/9 (/ (- x z) y))) y)> |
#<alt (/ (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) y)> |
#<alt (/ (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) y)> |
#<alt (/ 4/3 y)> |
#<alt (* -1 (/ (- (* 16/9 (/ (- x z) y)) 4/3) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 64/27 (/ (pow (- x z) 2) y)) (* 16/9 (- x z))) y)) 4/3) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256/81 (/ (pow (- x z) 3) y)) (* 64/27 (pow (- x z) 2))) y)) (* 16/9 (- x z))) y)) 4/3) y))> |
#<alt (/ 1 (- (* 3/4 y) z))> |
#<alt (+ (* -1 (/ x (pow (- (* 3/4 y) z) 2))) (/ 1 (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (/ x (pow (- (* 3/4 y) z) 3)) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 3/4 y) z) 4))) (/ 1 (pow (- (* 3/4 y) z) 3)))) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))> |
#<alt (/ 1 x)> |
#<alt (/ (- (+ 1 (/ z x)) (* 3/4 (/ y x))) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2))) (/ z x))) (* 3/4 (/ y x))) x)> |
#<alt (/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) (pow x 3)))) (+ (* 3/4 (/ y x)) (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- z (* 3/4 y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) x))) (* 3/4 y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) x)) (* -1 (* (- z (* 3/4 y)) (- (* 3/4 y) z)))) x))) (* 3/4 y)) x)) 1) x))> |
#<alt (/ 1 (+ x (* 3/4 y)))> |
#<alt (+ (/ 1 (+ x (* 3/4 y))) (/ z (pow (+ x (* 3/4 y)) 2)))> |
#<alt (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 2)) (/ z (pow (+ x (* 3/4 y)) 3)))) (/ 1 (+ x (* 3/4 y))))> |
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 3)) (/ z (pow (+ x (* 3/4 y)) 4)))) (/ 1 (pow (+ x (* 3/4 y)) 2)))) (/ 1 (+ x (* 3/4 y))))> |
#<alt (/ -1 z)> |
#<alt (/ (- (* -1 (/ (+ x (* 3/4 y)) z)) 1) z)> |
#<alt (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow z 2))) (+ 1 (+ (* 3/4 (/ y z)) (/ x z)))) z)> |
#<alt (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 3) (pow z 3))) (+ 1 (+ (* 3/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 3/4 y)) 2) (pow z 2)))))) z)> |
#<alt (/ -1 z)> |
#<alt (* -1 (/ (+ 1 (+ (* 3/4 (/ y z)) (/ x z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) z)) (+ x (* 3/4 y))) z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 3/4 y)) 3) z) (* -1 (pow (+ x (* 3/4 y)) 2))) z)) (+ x (* 3/4 y))) z))) z))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt (/ -4 y)> |
#<alt 4> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -4 (/ z y))> |
#<alt (/ (+ (* -4 z) (* 4 y)) y)> |
#<alt (/ (+ (* -4 z) (* 4 y)) y)> |
#<alt (/ (+ (* -4 z) (* 4 y)) y)> |
#<alt 4> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt 4> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (+ 4 (* -4 (/ z y)))> |
#<alt (* -4 (/ z y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* -4 z)> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (* 4 x)> |
#<alt (* x (+ 4 (* -4 (/ z x))))> |
#<alt (* x (+ 4 (* -4 (/ z x))))> |
#<alt (* x (+ 4 (* -4 (/ z x))))> |
#<alt (* 4 x)> |
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))> |
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))> |
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))> |
#<alt (* 4 x)> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (+ (* -4 z) (* 4 x))> |
#<alt (* -4 z)> |
#<alt (* z (- (* 4 (/ x z)) 4))> |
#<alt (* z (- (* 4 (/ x z)) 4))> |
#<alt (* z (- (* 4 (/ x z)) 4))> |
#<alt (* -4 z)> |
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))> |
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))> |
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))> |
#<alt (* -1 z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (/ (+ y (* 4 x)) y)> |
#<alt (/ (+ y (* 4 x)) y)> |
#<alt (/ (+ y (* 4 x)) y)> |
#<alt 1> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (+ 1 (* 4 (/ x y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))> |
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))> |
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))> |
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))> |
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)) |
| 1.0ms | z | @ | inf | (- x z) |
| 1.0ms | y | @ | inf | (/ (* 4 (- x z)) y) |
| 0.0ms | y | @ | 0 | (* z (/ -4 y)) |
| 0.0ms | y | @ | 0 | (/ (* 4 (- x z)) y) |
| 1× | batch-egg-rewrite |
| 4 938× | /-lowering-/.f32 |
| 4 938× | /-lowering-/.f64 |
| 4 608× | *-lowering-*.f32 |
| 4 608× | *-lowering-*.f64 |
| 4 156× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 93 |
| 1 | 146 | 87 |
| 2 | 1187 | 87 |
| 0 | 8370 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)) |
(* (/ 1 (+ (* y 3/4) (- x z))) y) |
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))) |
(/ 1 (+ (* y 3/4) (- x z))) |
(* z (/ -4 y)) |
(/ -4 y) |
(+ (* z (/ -4 y)) 4) |
(/ (* 4 (- x z)) y) |
(* 4 (- x z)) |
(- x z) |
(/ 4 (/ y x)) |
(+ 1 (/ 4 (/ y x))) |
(/ y x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(/.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))) |
(/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))) |
(/.f64 (/.f64 #s(literal -4 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) |
(/.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) |
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(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64))))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y)))) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
| 1× | egg-herbie |
| 8 514× | accelerator-lowering-fma.f32 |
| 8 514× | accelerator-lowering-fma.f64 |
| 5 688× | *-lowering-*.f32 |
| 5 688× | *-lowering-*.f64 |
| 4 052× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 3664 |
| 1 | 1478 | 3584 |
| 2 | 4203 | 3493 |
| 0 | 8608 | 3281 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- x z) y)) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
3 |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(+ 3 (* 4 (/ (- x z) y))) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(/ y (- x z)) |
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
4/3 |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) |
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) |
4/3 |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y))) |
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y))) |
(/ y (- (* 3/4 y) z)) |
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z))) |
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x) |
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x)) |
(/ y (+ x (* 3/4 y))) |
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
4 |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 4 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- (* 3/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(/ 1 (- x z)) |
(+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))) |
(+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(/ 4/3 y) |
(/ (+ 4/3 (* -16/9 (/ (- x z) y))) y) |
(/ (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) y) |
(/ (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) y) |
(/ 4/3 y) |
(* -1 (/ (- (* 16/9 (/ (- x z) y)) 4/3) y)) |
(* -1 (/ (- (* -1 (/ (- (* 64/27 (/ (pow (- x z) 2) y)) (* 16/9 (- x z))) y)) 4/3) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256/81 (/ (pow (- x z) 3) y)) (* 64/27 (pow (- x z) 2))) y)) (* 16/9 (- x z))) y)) 4/3) y)) |
(/ 1 (- (* 3/4 y) z)) |
(+ (* -1 (/ x (pow (- (* 3/4 y) z) 2))) (/ 1 (- (* 3/4 y) z))) |
(+ (* x (- (/ x (pow (- (* 3/4 y) z) 3)) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 3/4 y) z) 4))) (/ 1 (pow (- (* 3/4 y) z) 3)))) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (* 3/4 (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2))) (/ z x))) (* 3/4 (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) (pow x 3)))) (+ (* 3/4 (/ y x)) (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2)))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- z (* 3/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) x))) (* 3/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) x)) (* -1 (* (- z (* 3/4 y)) (- (* 3/4 y) z)))) x))) (* 3/4 y)) x)) 1) x)) |
(/ 1 (+ x (* 3/4 y))) |
(+ (/ 1 (+ x (* 3/4 y))) (/ z (pow (+ x (* 3/4 y)) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 2)) (/ z (pow (+ x (* 3/4 y)) 3)))) (/ 1 (+ x (* 3/4 y)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 3)) (/ z (pow (+ x (* 3/4 y)) 4)))) (/ 1 (pow (+ x (* 3/4 y)) 2)))) (/ 1 (+ x (* 3/4 y)))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (* 3/4 y)) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow z 2))) (+ 1 (+ (* 3/4 (/ y z)) (/ x z)))) z) |
(/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 3) (pow z 3))) (+ 1 (+ (* 3/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 3/4 y)) 2) (pow z 2)))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (+ (* 3/4 (/ y z)) (/ x z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) z)) (+ x (* 3/4 y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 3/4 y)) 3) z) (* -1 (pow (+ x (* 3/4 y)) 2))) z)) (+ x (* 3/4 y))) z))) z)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
4 |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -4 (/ z y)) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
4 |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
4 |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
(+ 4 (* -4 (/ z y))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* -4 z) |
(+ (* -4 z) (* 4 x)) |
(+ (* -4 z) (* 4 x)) |
(+ (* -4 z) (* 4 x)) |
(* 4 x) |
(* x (+ 4 (* -4 (/ z x)))) |
(* x (+ 4 (* -4 (/ z x)))) |
(* x (+ 4 (* -4 (/ z x)))) |
(* 4 x) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(* 4 x) |
(+ (* -4 z) (* 4 x)) |
(+ (* -4 z) (* 4 x)) |
(+ (* -4 z) (* 4 x)) |
(* -4 z) |
(* z (- (* 4 (/ x z)) 4)) |
(* z (- (* 4 (/ x z)) 4)) |
(* z (- (* 4 (/ x z)) 4)) |
(* -4 z) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(/ (+ y (* 4 x)) y) |
(/ (+ y (* 4 x)) y) |
(/ (+ y (* 4 x)) y) |
1 |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
1 |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
1 |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
(+ 1 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
(/ (+ (* 3 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(+ 3 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) |
(* 4 (/ (- (* 3/4 y) z) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) #s(literal 3 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y)))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y)))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y)))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ (+ x (* 3/4 y)) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) y) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z)) |
(/ y (- x z)) |
(/.f64 y (-.f64 x z)) |
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(fma.f64 y (/.f64 (*.f64 y #s(literal -3/4 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 y (-.f64 x z))) |
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(fma.f64 (fma.f64 y (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z))) |
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(fma.f64 (fma.f64 y (fma.f64 #s(literal -27/64 binary64) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z))) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16/9 binary64) y) #s(literal 4/3 binary64)) |
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) |
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y)) |
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) |
(+.f64 #s(literal 4/3 binary64) (fma.f64 #s(literal -256/81 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y))) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* -16/9 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16/9 binary64) y) #s(literal 4/3 binary64)) |
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y))) |
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y)) |
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y))) |
(+.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -256/81 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) #s(literal 64/27 binary64)))) y) (*.f64 (-.f64 x z) #s(literal -16/9 binary64))) y)) |
(/ y (- (* 3/4 y) z)) |
(/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) |
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z))) |
(-.f64 (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 (*.f64 x y) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) |
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(fma.f64 x (fma.f64 x (/.f64 y (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (/.f64 y (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 y (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (/.f64 (*.f64 x y) (pow.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)))) (/.f64 y (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x) |
(/.f64 (-.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x)) x) |
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x) |
(/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x) |
(/.f64 (+.f64 y (fma.f64 y (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x))) x) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x)) |
(/.f64 (-.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x)) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x)) |
(/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x)) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x)) |
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (/.f64 (*.f64 y (fma.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) x))) x)) x) |
(/ y (+ x (* 3/4 y))) |
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)) |
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2))) |
(fma.f64 z (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(fma.f64 z (fma.f64 z (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 y (pow.f64 (fma.f64 y #s(literal 3/4 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z) |
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z)) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (fma.f64 y #s(literal 3/4 binary64) x)) z))) y) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (fma.f64 y #s(literal 3/4 binary64) x)) z))) (fma.f64 y (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))) y)) z) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z)) |
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (fma.f64 y #s(literal 3/4 binary64) x)) z))) y) z) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 y (fma.f64 y #s(literal 3/4 binary64) x))) z)) z))) z) y) z) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/ (+ (* 4 y) (* 4 (- x z))) y) |
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(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y) |
(/ (+ (* -4 z) (* 4 y)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(+ 4 (* -4 (/ z y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y)))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y)))) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* -4 (/ z x)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) |
(* x (+ 4 (* -4 (/ z x)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) |
(* x (+ 4 (* -4 (/ z x)))) |
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64)))) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64)))) |
(* -1 (* x (- (* 4 (/ z x)) 4))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64)))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ (* -4 z) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* z (- (* 4 (/ x z)) 4)) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64))) |
(* z (- (* 4 (/ x z)) 4)) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64))) |
(* z (- (* 4 (/ x z)) 4)) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64))) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 4 (* -4 (/ x z))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* z (- (/ x z) 1)) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* z (- (/ x z) 1)) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (*.f64 z (/.f64 x z)) z) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(/ (+ y (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(/ (+ y (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(/ (+ y (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
Compiled 12 723 to 1 723 computations (86.5% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 804 | 4 | 808 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 807 | 11 | 818 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.7% | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
| ✓ | 65.8% | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| ✓ | 63.2% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| ✓ | 37.1% | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| ▶ | 30.3% | (/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
| ✓ | 42.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| 42.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))) | |
| ▶ | 37.0% | (*.f64 (/.f64 #s(literal 4 binary64) y) x) |
| ▶ | 63.4% | (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
| ✓ | 37.6% | #s(literal 4 binary64) |
| ▶ | 8.2% | #s(literal 1 binary64) |
Compiled 143 to 108 computations (24.5% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 4 binary64) y) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
| 960× | accelerator-lowering-fma.f32 |
| 960× | accelerator-lowering-fma.f64 |
| 576× | *-lowering-*.f32 |
| 576× | *-lowering-*.f64 |
| 334× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 53 |
| 1 | 27 | 53 |
| 2 | 43 | 53 |
| 3 | 69 | 53 |
| 4 | 123 | 53 |
| 5 | 194 | 53 |
| 6 | 317 | 53 |
| 7 | 530 | 53 |
| 8 | 879 | 53 |
| 9 | 1593 | 53 |
| 10 | 1903 | 53 |
| 11 | 2067 | 53 |
| 12 | 2129 | 53 |
| 13 | 2186 | 53 |
| 14 | 2549 | 53 |
| 15 | 2549 | 53 |
| 0 | 2549 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ 4 y) x) 4) |
(/ 4 y) |
4 |
y |
x |
1 |
(* (/ 4 y) x) |
(/ 4 y) |
4 |
y |
x |
(/ z (* y -1/4)) |
z |
(* y -1/4) |
y |
-1/4 |
(* (- x z) (/ 4 y)) |
(- x z) |
x |
z |
(/ 4 y) |
4 |
y |
| Outputs |
|---|
(+ (* (/ 4 y) x) 4) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
y |
x |
1 |
#s(literal 1 binary64) |
(* (/ 4 y) x) |
(/.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
y |
x |
(/ z (* y -1/4)) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
z |
(* y -1/4) |
(*.f64 y #s(literal -1/4 binary64)) |
y |
-1/4 |
#s(literal -1/4 binary64) |
(* (- x z) (/ 4 y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(- x z) |
(-.f64 x z) |
x |
z |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
4 |
#s(literal 4 binary64) |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 x z) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 4 binary64) y) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) y) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
| 78.0ms | 256× | 0 | valid |
Compiled 54 to 15 computations (72.2% saved)
ival-div: 4.0ms (36% of total)ival-mult: 4.0ms (36% of total)ival-sub: 1.0ms (9% of total)ival-add: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ 4 y) x) 4)> |
#<alt (/ 4 y)> |
#<alt (* (/ 4 y) x)> |
#<alt (/ z (* y -1/4))> |
#<alt (* y -1/4)> |
#<alt (* (- x z) (/ 4 y))> |
#<alt (- x z)> |
| Outputs |
|---|
#<alt (* 4 (/ x y))> |
#<alt (/ (+ (* 4 x) (* 4 y)) y)> |
#<alt (/ (+ (* 4 x) (* 4 y)) y)> |
#<alt (/ (+ (* 4 x) (* 4 y)) y)> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt 4> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (+ 4 (* 4 (/ x y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (/ 4 y)> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* 4 (/ x y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -1/4 y)> |
#<alt (* -4 (/ z y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (* 4 (/ x y))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))> |
#<alt (* 4 (/ x y))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ x y))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))> |
#<alt (* -4 (/ z y))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))> |
#<alt (* -4 (/ z y))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* 4 (/ (- x z) y))> |
#<alt (* -1 z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt (- x z)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt (* x (+ 1 (* -1 (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt (* -1 (* x (- (/ z x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (+ x (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* z (- (/ x z) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (* y -1/4) |
| 0.0ms | y | @ | inf | (* y -1/4) |
| 0.0ms | y | @ | 0 | (* y -1/4) |
| 0.0ms | y | @ | 0 | (+ (* (/ 4 y) x) 4) |
| 0.0ms | y | @ | inf | (+ (* (/ 4 y) x) 4) |
| 1× | batch-egg-rewrite |
| 4 724× | *-lowering-*.f32 |
| 4 724× | *-lowering-*.f64 |
| 4 180× | accelerator-lowering-fma.f32 |
| 4 180× | accelerator-lowering-fma.f64 |
| 2 594× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 66 | 33 |
| 2 | 481 | 33 |
| 3 | 5803 | 33 |
| 0 | 8618 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ 4 y) x) 4) |
(/ 4 y) |
(* (/ 4 y) x) |
(/ z (* y -1/4)) |
(* y -1/4) |
(* (- x z) (/ 4 y)) |
(- x z) |
| Outputs |
|---|
(+.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) |
(-.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 y)) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y) #s(literal 4 binary64)) |
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) (/.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal -4 binary64) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 16 binary64) y) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) |
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal 4 binary64)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 262144 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 4096 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 y (*.f64 y y))))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x x (*.f64 z z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) |
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z)))) |
| 1× | egg-herbie |
| 4 780× | accelerator-lowering-fma.f32 |
| 4 780× | accelerator-lowering-fma.f64 |
| 3 220× | *-lowering-*.f32 |
| 3 220× | *-lowering-*.f64 |
| 1 462× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 879 |
| 1 | 186 | 879 |
| 2 | 516 | 759 |
| 3 | 1601 | 759 |
| 4 | 3712 | 759 |
| 5 | 5895 | 759 |
| 6 | 7643 | 759 |
| 7 | 7979 | 759 |
| 0 | 8001 | 741 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ x y)) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
4 |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(+ 4 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(/ (+ (* 4 x) (* 4 y)) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(/ (+ (* 4 x) (* 4 y)) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(/ (+ (* 4 x) (* 4 y)) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(+ 4 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -1/4 y) |
(*.f64 y #s(literal -1/4 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -4 (/ z y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
Compiled 11 330 to 1 321 computations (88.3% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 777 | 1 | 778 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 778 | 11 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.7% | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
| ✓ | 65.8% | (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| ✓ | 63.2% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| ✓ | 37.1% | (/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| ✓ | 30.3% | (/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
| 63.3% | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)) | |
| ✓ | 42.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| ✓ | 37.0% | (*.f64 (/.f64 #s(literal 4 binary64) y) x) |
| ✓ | 63.4% | (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
| ✓ | 37.6% | #s(literal 4 binary64) |
| ✓ | 8.2% | #s(literal 1 binary64) |
Compiled 249 to 129 computations (48.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
5 calls:
| 8.0ms | z |
| 8.0ms | x |
| 7.0ms | y |
| 6.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 6.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 99.7% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
5 calls:
| 6.0ms | z |
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | x |
| 88.7% | 3 | y |
| 90.8% | 3 | z |
| 98.6% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 98.6% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
| Outputs |
|---|
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
2 calls:
| 6.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 98.6% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
| Outputs |
|---|
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
2 calls:
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 98.5% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) |
| Outputs |
|---|
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
3 calls:
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | z |
| 72.7% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 72.7% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
3 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 3 | y |
| 80.5% | 3 | x |
| 70.4% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
4 calls:
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 4 | y |
| 71.2% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 71.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 63.0% | 5 | x |
Compiled 38 to 28 computations (26.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
#s(literal 4 binary64) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
2 calls:
| 5.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 71.1% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
| Outputs |
|---|
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
#s(literal 4 binary64) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
3 calls:
| 2.0ms | z |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 3 | z |
| 64.4% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 64.4% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(literal 4 binary64) |
5 calls:
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 1 | z |
| 37.6% | 1 | y |
| 37.6% | 1 | x |
| 37.6% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 37.6% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 2.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.2% | 1 | y |
| 8.2% | 1 | z |
| 8.2% | 1 | x |
| 8.2% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)) |
| 8.2% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1556045905.4172413 | 3.441881208264749e+32 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1556045905.4172413 | 3.441881208264749e+32 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1556045905.4172413 | 3.441881208264749e+32 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.504517094209143e+45 | 2.4444930353302437e+63 |
| 12.0ms | -7.083259573841078e-8 | -5.3699404770807334e-11 |
| 17.0ms | 288× | 0 | valid |
Compiled 379 to 288 computations (24% saved)
ival-mult: 4.0ms (38.1% of total)ival-add: 3.0ms (28.6% of total)ival-div: 2.0ms (19% of total)ival-sub: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.952809219281171e+132 | 1.111493242563292e+136 |
| 10.0ms | -3.076757499343425e+38 | -3.6895752509369435e+36 |
| 15.0ms | 240× | 0 | valid |
Compiled 304 to 243 computations (20.1% saved)
ival-mult: 4.0ms (43% of total)ival-div: 2.0ms (21.5% of total)ival-add: 2.0ms (21.5% of total)ival-sub: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.002294146173961 | 1556045905.4172413 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.002294146173961 | 1556045905.4172413 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.441881208264749e+32 | 8.558343309847583e+34 |
| 0.0ms | -53.29783346197619 | 2.9999665246036473 |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 12× | if-if-or-not_binary32 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 298 |
| 1 | 90 | 298 |
| 2 | 96 | 298 |
| 3 | 98 | 298 |
| 4 | 99 | 298 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))) |
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))) |
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))) |
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))) |
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| 12 206× | accelerator-lowering-fma.f32 |
| 12 206× | accelerator-lowering-fma.f64 |
| 10 810× | accelerator-lowering-fma.f32 |
| 10 810× | accelerator-lowering-fma.f64 |
| 8 514× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 93 |
| 1 | 146 | 87 |
| 2 | 1187 | 87 |
| 0 | 8370 | 80 |
| 0 | 489 | 3664 |
| 1 | 1478 | 3584 |
| 2 | 4203 | 3493 |
| 0 | 8608 | 3281 |
| 0 | 337 | 3044 |
| 1 | 1002 | 2992 |
| 2 | 2847 | 2853 |
| 0 | 8292 | 2650 |
| 0 | 148 | 1462 |
| 1 | 446 | 1462 |
| 2 | 1222 | 1252 |
| 3 | 3684 | 1200 |
| 0 | 8266 | 1070 |
| 0 | 12 | 45 |
| 1 | 68 | 45 |
| 2 | 623 | 45 |
| 0 | 8469 | 39 |
| 0 | 22 | 87 |
| 1 | 141 | 86 |
| 2 | 1153 | 86 |
| 0 | 8269 | 76 |
| 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 |
Compiled 526 to 212 computations (59.7% saved)
Compiled 688 to 142 computations (79.4% saved)
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