
Time bar (total: 7.1s)
| 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 |
| 0% | 0% | 99.9% | 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 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 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 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 512.0ms | 8 256× | 0 | valid |
ival-mult: 130.0ms (41.6% of total)ival-sub: 94.0ms (30.1% of total)ival-div: 72.0ms (23.1% of total)exact: 8.0ms (2.6% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (1% of total)| 1× | egg-herbie |
| 2 736× | lower-fma.f64 |
| 2 736× | lower-fma.f32 |
| 1 156× | div-sub |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 109 |
| 1 | 126 | 101 |
| 2 | 405 | 99 |
| 3 | 1525 | 81 |
| 4 | 5505 | 81 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 28 | 11 |
| 2 | 68 | 11 |
| 3 | 169 | 9 |
| 4 | 409 | 9 |
| 5 | 976 | 9 |
| 6 | 2577 | 9 |
| 7 | 4574 | 9 |
| 8 | 4888 | 9 |
| 9 | 4898 | 9 |
| 10 | 4907 | 9 |
| 11 | 4907 | 9 |
| 12 | 5219 | 9 |
| 13 | 5428 | 9 |
| 14 | 5444 | 9 |
| 15 | 5444 | 9 |
| 16 | 5444 | 9 |
| 17 | 5476 | 9 |
| 18 | 5583 | 9 |
| 0 | 5583 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 35.0ms | 512× | 0 | valid |
Compiled 108 to 44 computations (59.3% saved)
ival-mult: 6.0ms (38.4% of total)ival-sub: 5.0ms (32% of total)ival-div: 4.0ms (25.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 2 736× | lower-fma.f64 |
| 2 736× | lower-fma.f32 |
| 1 156× | div-sub |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 0 | 15 | 38 |
| 1 | 28 | 38 |
| 2 | 68 | 38 |
| 3 | 169 | 36 |
| 4 | 409 | 36 |
| 5 | 976 | 36 |
| 6 | 2577 | 36 |
| 7 | 4574 | 36 |
| 8 | 4888 | 36 |
| 9 | 4898 | 36 |
| 10 | 4907 | 36 |
| 11 | 4907 | 36 |
| 12 | 5219 | 36 |
| 13 | 5428 | 36 |
| 14 | 5444 | 36 |
| 15 | 5444 | 36 |
| 16 | 5444 | 36 |
| 17 | 5476 | 36 |
| 18 | 5583 | 36 |
| 0 | 5583 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
#s(literal 4 binary64) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(-.f64 x y) |
x |
y |
(*.f64 z #s(literal 1/2 binary64)) |
z |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) |
#s(literal 4 binary64) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) |
(-.f64 x y) |
x |
y |
(*.f64 z #s(literal 1/2 binary64)) |
z |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 39.0ms | 256× | 0 | valid |
Compiled 40 to 12 computations (70% saved)
ival-sub: 3.0ms (39% of total)ival-mult: 3.0ms (39% of total)ival-div: 2.0ms (26% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)> |
#<alt (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))> |
#<alt (-.f64 x y)> |
#<alt (*.f64 z #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* -4 (/ (+ y (* 1/2 z)) z))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (* 4 (/ x z))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* 4 (/ x z))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* 4 (/ (- x (* 1/2 z)) z))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (* -4 (/ y z))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* 4 (/ (- x y) z))> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (* -1 (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (- x (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
#<alt (- x y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (* -1/2 z)> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (* -4 (+ y (* 1/2 z)))> |
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))> |
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))> |
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))> |
#<alt (* 4 x)> |
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* 4 x)> |
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))> |
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))> |
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))> |
#<alt (* 4 (- x (* 1/2 z)))> |
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))> |
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))> |
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))> |
#<alt (* -4 y)> |
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))> |
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))> |
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))> |
#<alt (* -4 y)> |
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* 4 (- x y))> |
#<alt (+ (* -2 z) (* 4 (- x y)))> |
#<alt (+ (* -2 z) (* 4 (- x y)))> |
#<alt (+ (* -2 z) (* 4 (- x y)))> |
#<alt (* -2 z)> |
#<alt (* z (- (* 4 (/ (- x y) z)) 2))> |
#<alt (* z (- (* 4 (/ (- x y) z)) 2))> |
#<alt (* z (- (* 4 (/ (- x y) z)) 2))> |
#<alt (* -2 z)> |
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
#<alt (* 1/2 z)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- x y) |
| 1.0ms | z | @ | 0 | (/ (* 4 (- (- x y) (* z 1/2))) z) |
| 1.0ms | x | @ | -inf | (/ (* 4 (- (- x y) (* z 1/2))) z) |
| 1.0ms | x | @ | inf | (/ (* 4 (- (- x y) (* z 1/2))) z) |
| 1.0ms | x | @ | 0 | (/ (* 4 (- (- x y) (* z 1/2))) z) |
| 1× | batch-egg-rewrite |
| 4 820× | lower-fma.f64 |
| 4 820× | lower-fma.f32 |
| 4 390× | lower-*.f32 |
| 4 386× | lower-*.f64 |
| 3 134× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 15 | 33 |
| 1 | 60 | 33 |
| 2 | 470 | 33 |
| 3 | 6831 | 33 |
| 0 | 8009 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(-.f64 x y) |
(*.f64 z #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))))) |
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
(/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 z (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.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 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (/.f64 (*.f64 y y) (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.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))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y y (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 z #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
| 1× | egg-herbie |
| 9 634× | lower-fma.f64 |
| 9 634× | lower-fma.f32 |
| 3 970× | lower-*.f64 |
| 3 970× | lower-*.f32 |
| 1 970× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1088 |
| 1 | 390 | 1087 |
| 2 | 1119 | 1031 |
| 3 | 3256 | 885 |
| 0 | 8216 | 800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* 4 (/ x z)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
x |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(- (+ x (* -1/2 z)) y) |
(- (+ x (* -1/2 z)) y) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* 4 x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -4 y) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(+ (* -2 z) (* 4 (- x y))) |
(+ (* -2 z) (* 4 (- x y))) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -2 z) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
(* 1/2 z) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (/ (- x y) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(-.f64 (*.f64 z #s(literal -1/2 binary64)) y) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
x |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (* 1/2 z)) |
(fma.f64 z #s(literal -1/2 binary64) x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -4 (+ y (* 1/2 z))) |
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* 4 (- x (* 1/2 z))) |
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* 4 (- x y)) |
(*.f64 #s(literal 4 binary64) (-.f64 x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -2 z) (* 4 (- x y))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(+ (* -2 z) (* 4 (- x y))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -2 z) |
(*.f64 z #s(literal -2 binary64)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -2 z) |
(*.f64 z #s(literal -2 binary64)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
Compiled 12 274 to 1 349 computations (89% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 469 | 8 | 477 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 470 | 8 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| 63.4% | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) | |
| 71.8% | (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z) | |
| ▶ | 31.8% | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| 40.3% | (/.f64 (*.f64 #s(literal -4 binary64) y) z) | |
| ▶ | 99.6% | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
| ▶ | 71.7% | (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
| ▶ | 33.3% | #s(literal -2 binary64) |
Compiled 152 to 116 computations (23.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) z) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| 2 784× | lower-fma.f32 |
| 2 778× | lower-fma.f64 |
| 1 200× | lower-*.f32 |
| 1 196× | lower-*.f64 |
| 1 010× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 97 |
| 0 | 35 | 93 |
| 1 | 67 | 91 |
| 2 | 130 | 91 |
| 3 | 292 | 91 |
| 4 | 578 | 91 |
| 5 | 1103 | 91 |
| 6 | 2677 | 91 |
| 7 | 3724 | 91 |
| 8 | 3973 | 91 |
| 9 | 4020 | 91 |
| 10 | 4033 | 91 |
| 11 | 4033 | 91 |
| 12 | 4153 | 91 |
| 13 | 4213 | 91 |
| 14 | 4213 | 91 |
| 15 | 4213 | 91 |
| 16 | 4213 | 91 |
| 0 | 4213 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
z |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) |
y |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
#s(literal 4 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
#s(literal 1 binary64) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
x |
(fma.f64 z #s(literal 1/2 binary64) y) |
z |
#s(literal 1/2 binary64) |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
z |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
y |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
#s(literal 4 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
(/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
#s(literal 1 binary64) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
x |
(fma.f64 z #s(literal 1/2 binary64) y) |
z |
#s(literal 1/2 binary64) |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) z) |
| ✓ | accuracy | 100.0% | (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4 binary64) z) |
| ✓ | accuracy | 100.0% | (-.f64 x y) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| 77.0ms | 256× | 0 | valid |
Compiled 107 to 25 computations (76.6% saved)
ival-mult: 31.0ms (59.1% of total)ival-add: 10.0ms (19.1% of total)ival-div: 7.0ms (13.3% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))> |
#<alt (/.f64 #s(literal 4 binary64) z)> |
#<alt (-.f64 x y)> |
#<alt (/.f64 (*.f64 #s(literal 4 binary64) x) z)> |
#<alt (*.f64 #s(literal 4 binary64) x)> |
#<alt (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))> |
#<alt (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))> |
#<alt (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))> |
#<alt (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))> |
| Outputs |
|---|
#<alt (* 4 (/ (- x y) z))> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (* 4 (/ x z))> |
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))> |
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))> |
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))> |
#<alt (* 4 (/ x z))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)> |
#<alt (* -4 (/ y z))> |
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (/ 4 z)> |
#<alt (* -1 y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt (- x y)> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt (* x (+ 1 (* -1 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt (* -1 (* x (- (/ y x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (+ x (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* y (- (/ x y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<alt (* 4 (/ x z))> |
#<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 -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -4 (/ y z))> |
#<alt (/ (- (* -2 z) (* 4 y)) z)> |
#<alt (/ (- (* -2 z) (* 4 y)) z)> |
#<alt (/ (- (* -2 z) (* 4 y)) z)> |
#<alt -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt 2> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (* 4 (/ y z))> |
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))> |
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))> |
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))> |
#<alt (* 4 (/ y z))> |
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))> |
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))> |
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))> |
#<alt (* 4 (/ y z))> |
#<alt (/ (+ (* 2 z) (* 4 y)) z)> |
#<alt (/ (+ (* 2 z) (* 4 y)) z)> |
#<alt (/ (+ (* 2 z) (* 4 y)) z)> |
#<alt 2> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt 2> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (+ 2 (* 4 (/ y z)))> |
#<alt (* -4 (/ (+ y (* 1/2 z)) z))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))> |
#<alt (* 4 (/ x z))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))> |
#<alt (* 4 (/ x z))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))> |
#<alt (* 4 (/ (- x y) z))> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt -2> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (- (* 4 (/ (- x y) z)) 2)> |
#<alt (* 4 (/ (- x (* 1/2 z)) z))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))> |
#<alt (* -4 (/ y z))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (/ z (+ y (* 1/2 z))))> |
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 2))))> |
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 3))) (/ z (pow (+ y (* 1/2 z)) 2)))))> |
#<alt (+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 4))) (/ z (pow (+ y (* 1/2 z)) 3)))) (/ z (pow (+ y (* 1/2 z)) 2)))))> |
#<alt (/ z x)> |
#<alt (/ (+ z (/ (* z (+ y (* 1/2 z))) x)) x)> |
#<alt (/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x)> |
#<alt (/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 3)) (pow x 3))) (+ (* -1 (/ (* z (+ y (* 1/2 z))) x)) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))))) x)> |
#<alt (/ z x)> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (+ y (* 1/2 z))) (/ (* z (pow (+ y (* 1/2 z)) 2)) x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (+ y (* 1/2 z)) 2))) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 3)) x))) x)) (* z (+ y (* 1/2 z)))) x))) x))> |
#<alt (/ z (- x y))> |
#<alt (* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))> |
#<alt (* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))> |
#<alt (* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))> |
#<alt -2> |
#<alt (- (* -4 (/ (- x y) z)) 2)> |
#<alt (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))> |
#<alt (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))> |
#<alt -2> |
#<alt (- (* -4 (/ (- x y) z)) 2)> |
#<alt (- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)> |
#<alt (/ z (- x (* 1/2 z)))> |
#<alt (+ (/ z (- x (* 1/2 z))) (/ (* y z) (pow (- x (* 1/2 z)) 2)))> |
#<alt (+ (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 3)) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))> |
#<alt (+ (* y (- (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 4)) (* -1 (/ z (pow (- x (* 1/2 z)) 3))))) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z))))> |
#<alt (* -1 (/ z y))> |
#<alt (/ (+ (* -1 z) (* -1 (/ (* z (- x (* 1/2 z))) y))) y)> |
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) (/ (* z (- x (* 1/2 z))) y)) y)> |
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (- x (* 1/2 z))) y) (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) y)> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (/ (+ z (/ (* z (- x (* 1/2 z))) y)) y))> |
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) y)) (* z (- x (* 1/2 z)))) y))) y))> |
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- x (* 1/2 z)) 3)) y) (* -1 (* z (pow (- x (* 1/2 z)) 2)))) y)) (* z (- x (* 1/2 z)))) y))) y))> |
#<alt (/ -1 (+ y (* 1/2 z)))> |
#<alt (- (* -1 (/ x (pow (+ y (* 1/2 z)) 2))) (/ 1 (+ y (* 1/2 z))))> |
#<alt (- (* x (- (* -1 (/ x (pow (+ y (* 1/2 z)) 3))) (/ 1 (pow (+ y (* 1/2 z)) 2)))) (/ 1 (+ y (* 1/2 z))))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (pow (+ y (* 1/2 z)) 4))) (/ 1 (pow (+ y (* 1/2 z)) 3)))) (/ 1 (pow (+ y (* 1/2 z)) 2)))) (/ 1 (+ y (* 1/2 z))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ z x)) (/ y x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ y (* 1/2 z)) 2) (pow x 2))) (* -1 (/ (+ y (* 1/2 z)) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ y (* 1/2 z)) 3) (pow x 3))) (+ (* -1 (/ (+ y (* 1/2 z)) x)) (* -1 (/ (pow (+ y (* 1/2 z)) 2) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ y (* 1/2 z)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (* 1/2 z)) 2) x) (* -1 (+ y (* 1/2 z)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ y (* 1/2 z)) 3) x)) (pow (+ y (* 1/2 z)) 2)) x)) (* -1 (+ y (* 1/2 z)))) x)) 1) x))> |
#<alt (/ 1 (- x y))> |
#<alt (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y)))> |
#<alt (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))> |
#<alt (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))> |
#<alt (/ -2 z)> |
#<alt (/ (- (* -4 (/ (- x y) z)) 2) z)> |
#<alt (/ (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) z)> |
#<alt (/ (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) z)> |
#<alt (/ -2 z)> |
#<alt (* -1 (/ (+ 2 (* 4 (/ (- x y) z))) z))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (- x y) 2) z)) (* 4 (- x y))) z))) z))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- x y) 3) z)) (* -8 (pow (- x y) 2))) z)) (* 4 (- x y))) z))) z))> |
#<alt (/ 1 (- x (* 1/2 z)))> |
#<alt (+ (/ 1 (- x (* 1/2 z))) (/ y (pow (- x (* 1/2 z)) 2)))> |
#<alt (+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 2)) (/ y (pow (- x (* 1/2 z)) 3)))) (/ 1 (- x (* 1/2 z))))> |
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 3)) (/ y (pow (- x (* 1/2 z)) 4)))) (/ 1 (pow (- x (* 1/2 z)) 2)))) (/ 1 (- x (* 1/2 z))))> |
#<alt (/ -1 y)> |
#<alt (/ (- (* 1/2 (/ z y)) (+ 1 (/ x y))) y)> |
#<alt (/ (- (+ (* 1/2 (/ z y)) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (+ 1 (/ x y))) y)> |
#<alt (/ (- (+ (* 1/2 (/ z y)) (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (/ x y)))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 z) x) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* 1/2 z) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) y)) x) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) y)) (* (- x (* 1/2 z)) (- (* 1/2 z) x))) y)) (* 1/2 z)) x) y))) y))> |
#<alt (* -1 (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt (- x (+ y (* 1/2 z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))> |
#<alt (- x y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (- (+ x (* -1/2 z)) y)> |
#<alt (* -1/2 z)> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))> |
#<alt (- x (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (- (+ x (* -1 y)) (* 1/2 z))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (* (/ 1 (- x (+ (* z 1/2) y))) z) |
| 3.0ms | x | @ | -inf | (* 4 x) |
| 2.0ms | y | @ | 0 | (+ (* (/ 4 z) (- x y)) -2) |
| 1.0ms | x | @ | -inf | (* (/ 1 (- x (+ (* z 1/2) y))) z) |
| 1.0ms | x | @ | inf | (/ (* 4 x) z) |
| 1× | batch-egg-rewrite |
| 5 472× | lower-fma.f32 |
| 5 466× | lower-fma.f64 |
| 4 274× | lower-*.f32 |
| 4 270× | lower-*.f64 |
| 4 032× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 35 | 71 |
| 1 | 152 | 67 |
| 2 | 1117 | 67 |
| 0 | 8456 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
(-.f64 x y) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(*.f64 #s(literal 4 binary64) x) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(+.f64 #s(literal -2 binary64) (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64)) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y))) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y))) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y))) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) |
(pow.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 z #s(literal 1/2 binary64) y) (neg.f64 x))) |
(*.f64 (+.f64 (fma.f64 z #s(literal 1/2 binary64) y) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) y) (fma.f64 z #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))))) |
(*.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)) (+.f64 (fma.f64 z #s(literal 1/2 binary64) y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) |
(*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) (+.f64 x (*.f64 z #s(literal -1/2 binary64))))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) (+.f64 x (*.f64 z #s(literal -1/2 binary64))) (fma.f64 y y (*.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) y))))) |
(*.f64 (*.f64 (+.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) y) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 z #s(literal -1/2 binary64))) y))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) |
| 1× | egg-herbie |
| 8 214× | lower-fma.f64 |
| 8 214× | lower-fma.f32 |
| 5 400× | lower-*.f64 |
| 5 400× | lower-*.f32 |
| 3 926× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 3229 |
| 1 | 1429 | 3102 |
| 2 | 4211 | 3031 |
| 0 | 8772 | 2765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(* 4 (/ x z)) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* 4 (/ x z)) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(- (* 4 (/ x z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(/ 4 z) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 (/ x z)) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -4 (/ y z)) |
(/ (- (* -2 z) (* 4 y)) z) |
(/ (- (* -2 z) (* 4 y)) z) |
(/ (- (* -2 z) (* 4 y)) z) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
2 |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
(* 4 (/ y z)) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(* 4 (/ y z)) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(* 4 (/ y z)) |
(/ (+ (* 2 z) (* 4 y)) z) |
(/ (+ (* 2 z) (* 4 y)) z) |
(/ (+ (* 2 z) (* 4 y)) z) |
2 |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
2 |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
(+ 2 (* 4 (/ y z))) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* 4 (/ x z)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* 4 (/ (- x y) z)) 2) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (/ z (+ y (* 1/2 z)))) |
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 2)))) |
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 3))) (/ z (pow (+ y (* 1/2 z)) 2))))) |
(+ (* -1 (/ z (+ y (* 1/2 z)))) (* x (- (* x (- (* -1 (/ (* x z) (pow (+ y (* 1/2 z)) 4))) (/ z (pow (+ y (* 1/2 z)) 3)))) (/ z (pow (+ y (* 1/2 z)) 2))))) |
(/ z x) |
(/ (+ z (/ (* z (+ y (* 1/2 z))) x)) x) |
(/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x) |
(/ (- (+ z (/ (* z (pow (+ y (* 1/2 z)) 3)) (pow x 3))) (+ (* -1 (/ (* z (+ y (* 1/2 z))) x)) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 2)) (pow x 2))))) x) |
(/ z x) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (* z (+ y (* 1/2 z))) x))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* z (+ y (* 1/2 z))) (/ (* z (pow (+ y (* 1/2 z)) 2)) x)) x))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (pow (+ y (* 1/2 z)) 2))) (* -1 (/ (* z (pow (+ y (* 1/2 z)) 3)) x))) x)) (* z (+ y (* 1/2 z)))) x))) x)) |
(/ z (- x y)) |
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y)))) |
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))) |
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))) |
-2 |
(- (* -4 (/ (- x y) z)) 2) |
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) |
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) |
-2 |
(- (* -4 (/ (- x y) z)) 2) |
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2) |
(/ z (- x (* 1/2 z))) |
(+ (/ z (- x (* 1/2 z))) (/ (* y z) (pow (- x (* 1/2 z)) 2))) |
(+ (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 3)) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z)))) |
(+ (* y (- (* y (- (/ (* y z) (pow (- x (* 1/2 z)) 4)) (* -1 (/ z (pow (- x (* 1/2 z)) 3))))) (* -1 (/ z (pow (- x (* 1/2 z)) 2))))) (/ z (- x (* 1/2 z)))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* -1 (/ (* z (- x (* 1/2 z))) y))) y) |
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) (/ (* z (- x (* 1/2 z))) y)) y) |
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (- x (* 1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (- x (* 1/2 z))) y) (/ (* z (pow (- x (* 1/2 z)) 2)) (pow y 2)))) y) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (/ (* z (- x (* 1/2 z))) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* z (pow (- x (* 1/2 z)) 2)) y)) (* z (- x (* 1/2 z)))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- x (* 1/2 z)) 3)) y) (* -1 (* z (pow (- x (* 1/2 z)) 2)))) y)) (* z (- x (* 1/2 z)))) y))) y)) |
(/ -1 (+ y (* 1/2 z))) |
(- (* -1 (/ x (pow (+ y (* 1/2 z)) 2))) (/ 1 (+ y (* 1/2 z)))) |
(- (* x (- (* -1 (/ x (pow (+ y (* 1/2 z)) 3))) (/ 1 (pow (+ y (* 1/2 z)) 2)))) (/ 1 (+ y (* 1/2 z)))) |
(- (* x (- (* x (- (* -1 (/ x (pow (+ y (* 1/2 z)) 4))) (/ 1 (pow (+ y (* 1/2 z)) 3)))) (/ 1 (pow (+ y (* 1/2 z)) 2)))) (/ 1 (+ y (* 1/2 z)))) |
(/ 1 x) |
(/ (+ 1 (+ (* 1/2 (/ z x)) (/ y x))) x) |
(/ (- (+ 1 (/ (pow (+ y (* 1/2 z)) 2) (pow x 2))) (* -1 (/ (+ y (* 1/2 z)) x))) x) |
(/ (- (+ 1 (/ (pow (+ y (* 1/2 z)) 3) (pow x 3))) (+ (* -1 (/ (+ y (* 1/2 z)) x)) (* -1 (/ (pow (+ y (* 1/2 z)) 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (+ y (* 1/2 z)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (* 1/2 z)) 2) x) (* -1 (+ y (* 1/2 z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ y (* 1/2 z)) 3) x)) (pow (+ y (* 1/2 z)) 2)) x)) (* -1 (+ y (* 1/2 z)))) x)) 1) x)) |
(/ 1 (- x y)) |
(+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))) |
(+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))) |
(+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))) |
(/ -2 z) |
(/ (- (* -4 (/ (- x y) z)) 2) z) |
(/ (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) z) |
(/ (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) z) |
(/ -2 z) |
(* -1 (/ (+ 2 (* 4 (/ (- x y) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (- x y) 2) z)) (* 4 (- x y))) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- x y) 3) z)) (* -8 (pow (- x y) 2))) z)) (* 4 (- x y))) z))) z)) |
(/ 1 (- x (* 1/2 z))) |
(+ (/ 1 (- x (* 1/2 z))) (/ y (pow (- x (* 1/2 z)) 2))) |
(+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 2)) (/ y (pow (- x (* 1/2 z)) 3)))) (/ 1 (- x (* 1/2 z)))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 3)) (/ y (pow (- x (* 1/2 z)) 4)))) (/ 1 (pow (- x (* 1/2 z)) 2)))) (/ 1 (- x (* 1/2 z)))) |
(/ -1 y) |
(/ (- (* 1/2 (/ z y)) (+ 1 (/ x y))) y) |
(/ (- (+ (* 1/2 (/ z y)) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (+ (* 1/2 (/ z y)) (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (/ x y)))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 z) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* 1/2 z) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) y)) (* (- x (* 1/2 z)) (- (* 1/2 z) x))) y)) (* 1/2 z)) x) y))) y)) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
x |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(- (+ x (* -1/2 z)) y) |
(- (+ x (* -1/2 z)) y) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
| Outputs |
|---|
(* 4 (/ (- x y) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x))) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x) (/.f64 #s(literal 4 binary64) z))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x) (/.f64 #s(literal 4 binary64) z))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) x) (/.f64 #s(literal 4 binary64) z))) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(fma.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64)) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x (*.f64 (/.f64 y x) x)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* y (- (/ x y) 1)) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* y (- (/ x y) 1)) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (*.f64 y (/.f64 x y)) y) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(/ (- (* -2 z) (* 4 y)) z) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(/ (- (* -2 z) (* 4 y)) z) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(/ (- (* -2 z) (* 4 y)) z) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* 4 (/ y z)) |
(*.f64 #s(literal 4 binary64) (/.f64 y z)) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* 4 (/ y z)) |
(*.f64 #s(literal 4 binary64) (/.f64 y z)) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* 4 (/ y z)) |
(*.f64 #s(literal 4 binary64) (/.f64 y z)) |
(/ (+ (* 2 z) (* 4 y)) z) |
(/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) y)) z) |
(/ (+ (* 2 z) (* 4 y)) z) |
(/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) y)) z) |
(/ (+ (* 2 z) (* 4 y)) z) |
(/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) y)) z) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ y z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y z) #s(literal 2 binary64)) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 z #s(literal 1/2 binary64) y)) z) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 z #s(literal 1/2 binary64) y)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 z #s(literal 1/2 binary64) y)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 z #s(literal 1/2 binary64) y)) z)) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 x z)) (/.f64 #s(literal 4 binary64) z))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 x z)) (/.f64 #s(literal 4 binary64) z))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (*.f64 x z)) (/.f64 #s(literal 4 binary64) z))) |
(* 4 (/ x z)) |
(*.f64 x (/.f64 #s(literal 4 binary64) z)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -4 binary64) z)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -4 binary64) z)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -4 binary64) z)))) |
(* 4 (/ (- x y) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
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(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
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(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
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(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) |
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#s(literal -2 binary64) |
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-2 |
#s(literal -2 binary64) |
(- (* -4 (/ (- x y) z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64)) |
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2) |
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(/.f64 z (fma.f64 z #s(literal -1/2 binary64) x)) |
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(* -1 (/ (+ 2 (* 4 (/ (- x y) z))) z)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64)) z) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (- x y) 2) z)) (* 4 (- x y))) z))) z)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y x) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (/.f64 #s(literal -8 binary64) z))) z)) z) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- x y) 3) z)) (* -8 (pow (- x y) 2))) z)) (* 4 (- x y))) z))) z)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y x) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) z) #s(literal 16 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 8 binary64)))) (neg.f64 z))) z)) z) |
(/ 1 (- x (* 1/2 z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) x)) |
(+ (/ 1 (- x (* 1/2 z))) (/ y (pow (- x (* 1/2 z)) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) x)) (/.f64 y (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x)))) |
(+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 2)) (/ y (pow (- x (* 1/2 z)) 3)))) (/ 1 (- x (* 1/2 z)))) |
(fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x))) (/.f64 y (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) x))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- x (* 1/2 z)) 3)) (/ y (pow (- x (* 1/2 z)) 4)))) (/ 1 (pow (- x (* 1/2 z)) 2)))) (/ 1 (- x (* 1/2 z)))) |
(fma.f64 y (fma.f64 y (/.f64 y (pow.f64 (fma.f64 z #s(literal -1/2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) x)) (/.f64 y (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x))))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* 1/2 (/ z y)) (+ 1 (/ x y))) y) |
(/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y)) #s(literal -1 binary64)) y) |
(/ (- (+ (* 1/2 (/ z y)) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (+ 1 (/ x y))) y) |
(/.f64 (fma.f64 (fma.f64 z #s(literal -1/2 binary64) x) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) x) (*.f64 y y)) (+.f64 (neg.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y)) #s(literal -1 binary64))) y) |
(/ (- (+ (* 1/2 (/ z y)) (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) (pow y 2))) (/ x y)))) y) |
(/.f64 (-.f64 (fma.f64 (fma.f64 z #s(literal -1/2 binary64) x) (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) x) (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) (fma.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) x) (*.f64 y y)) (/.f64 x y))) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 z) x) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y))) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* 1/2 z) (/ (* (- x (* 1/2 z)) (- (* 1/2 z) x)) y)) x) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z #s(literal -1/2 binary64) x) (neg.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (* 1/2 z)) 2) (- (* 1/2 z) x)) y)) (* (- x (* 1/2 z)) (- (* 1/2 z) x))) y)) (* 1/2 z)) x) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (fma.f64 z #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y)) (*.f64 (fma.f64 z #s(literal -1/2 binary64) x) (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) y)) x) y)) (neg.f64 y)) |
(* -1 (+ y (* 1/2 z))) |
(fma.f64 z #s(literal -1/2 binary64) (neg.f64 y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (*.f64 x (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (*.f64 x (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(-.f64 x (*.f64 x (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) |
x |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) x) x)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) x) x)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) x) x)) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 z (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 z (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 z (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64))) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z)))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z)))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(neg.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z)))) |
(- x (* 1/2 z)) |
(fma.f64 z #s(literal -1/2 binary64) x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 y (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 y (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 y (/.f64 (fma.f64 z #s(literal -1/2 binary64) x) y) (neg.f64 y)) |
Compiled 18 785 to 2 114 computations (88.7% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 892 | 2 | 894 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 896 | 6 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| ▶ | 63.4% | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
| ▶ | 71.8% | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| ▶ | 40.3% | (/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| ✓ | 31.8% | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| ✓ | 33.3% | #s(literal -2 binary64) |
Compiled 49 to 38 computations (22.4% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 16× | lower-fma.f32 |
| 12× | *-commutative |
| 12× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 0 | 20 | 37 |
| 1 | 30 | 37 |
| 2 | 33 | 37 |
| 3 | 35 | 37 |
| 4 | 36 | 37 |
| 0 | 36 | 37 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(*.f64 y #s(literal -4 binary64)) |
y |
#s(literal -4 binary64) |
z |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
#s(literal -4 binary64) |
(/.f64 y z) |
y |
z |
#s(literal -2 binary64) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(*.f64 y #s(literal -4 binary64)) |
y |
#s(literal -4 binary64) |
z |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
#s(literal -4 binary64) |
(/.f64 y z) |
y |
z |
#s(literal -2 binary64) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -4 binary64)) |
| 53.0ms | 256× | 0 | valid |
Compiled 41 to 16 computations (61% saved)
ival-div: 35.0ms (82.6% of total)ival-mult: 5.0ms (11.8% of total)ival-add: 2.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 y #s(literal -4 binary64)) z)> |
#<alt (*.f64 y #s(literal -4 binary64))> |
#<alt (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))> |
#<alt (/.f64 y z)> |
#<alt (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))> |
#<alt (/.f64 x z)> |
| Outputs |
|---|
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<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 -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))> |
#<alt (* -4 (/ y z))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))> |
#<alt (* -4 (/ y z))> |
#<alt (/ (+ (* -4 y) (* -2 z)) z)> |
#<alt (/ (+ (* -4 y) (* -2 z)) z)> |
#<alt (/ (+ (* -4 y) (* -2 z)) z)> |
#<alt -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt -2> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (- (* -4 (/ y z)) 2)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt (/ y z)> |
#<alt -2> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (* 4 (/ x z))> |
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))> |
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))> |
#<alt (* 4 (/ x z))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))> |
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))> |
#<alt (* 4 (/ x z))> |
#<alt (/ (+ (* -2 z) (* 4 x)) z)> |
#<alt (/ (+ (* -2 z) (* 4 x)) z)> |
#<alt (/ (+ (* -2 z) (* 4 x)) z)> |
#<alt -2> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt -2> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (- (* 4 (/ x z)) 2)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (* y -4) z) |
| 0.0ms | z | @ | 0 | (/ (* y -4) z) |
| 0.0ms | y | @ | 0 | (/ (* y -4) z) |
| 0.0ms | y | @ | -inf | (/ y z) |
| 0.0ms | z | @ | inf | (/ (* y -4) z) |
| 1× | batch-egg-rewrite |
| 5 200× | lower-fma.f32 |
| 5 196× | lower-fma.f64 |
| 4 684× | lower-*.f32 |
| 4 682× | lower-*.f64 |
| 2 330× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 0 | 20 | 26 |
| 1 | 72 | 26 |
| 2 | 493 | 26 |
| 3 | 5457 | 26 |
| 0 | 8056 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(*.f64 y #s(literal -4 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/.f64 y z) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/.f64 x z) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(neg.f64 (/.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(neg.f64 (*.f64 (/.f64 (*.f64 y #s(literal 4 binary64)) z) #s(literal 1 binary64))) |
(/.f64 y (*.f64 z #s(literal -1/4 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(/.f64 (fma.f64 #s(literal 262144 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -512 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal 64 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -512 binary64))))) |
(/.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal 8 binary64)))) |
(/.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 z (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal 16 binary64))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal -16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 262144 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal 64 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -512 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 z (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal 16 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))) |
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))))))) (fma.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal -8 binary64) #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/.f64 x z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z)) |
(pow.f64 (/.f64 x z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
| 1× | egg-herbie |
| 1 104× | lower-fma.f64 |
| 1 104× | lower-fma.f32 |
| 720× | lower-*.f64 |
| 720× | lower-*.f32 |
| 558× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 588 |
| 1 | 92 | 588 |
| 2 | 221 | 588 |
| 3 | 541 | 588 |
| 4 | 895 | 588 |
| 5 | 1347 | 588 |
| 6 | 1969 | 588 |
| 7 | 2301 | 588 |
| 8 | 2822 | 588 |
| 9 | 2844 | 588 |
| 10 | 2890 | 588 |
| 11 | 2920 | 588 |
| 12 | 2930 | 588 |
| 0 | 2930 | 552 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
(* -4 y) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -4 (/ y z)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -4 (/ y z)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
-2 |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(- (* -4 (/ y z)) 2) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
-2 |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
(* 4 (/ x z)) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* 4 (/ x z)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* 4 (/ x z)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
-2 |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
-2 |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
| Outputs |
|---|
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -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) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(*.f64 #s(literal 4 binary64) (/.f64 x z)) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(*.f64 #s(literal 4 binary64) (/.f64 x z)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(* 4 (/ x z)) |
(*.f64 #s(literal 4 binary64) (/.f64 x z)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(- (* 4 (/ x z)) 2) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
Compiled 6 098 to 668 computations (89% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 1 | 406 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 405 | 7 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| ✓ | 63.4% | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
| ✓ | 71.8% | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| ✓ | 40.3% | (/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| ✓ | 31.8% | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| ▶ | 40.1% | (*.f64 (/.f64 #s(literal -4 binary64) z) y) |
| ✓ | 33.3% | #s(literal -2 binary64) |
Compiled 57 to 44 computations (22.8% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -4 binary64) z) y) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 14 | 11 |
| 3 | 15 | 11 |
| 0 | 15 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -4 binary64) z) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -4 binary64) z) y) |
| 13.0ms | 256× | 0 | valid |
Compiled 13 to 8 computations (38.5% saved)
ival-mult: 4.0ms (62.6% of total)ival-div: 2.0ms (31.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal -4 binary64) z) y)> |
#<alt (/.f64 #s(literal -4 binary64) z)> |
| Outputs |
|---|
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (* -4 (/ y z))> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
#<alt (/ -4 z)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/ -4 z) |
| 0.0ms | y | @ | inf | (* (/ -4 z) y) |
| 0.0ms | y | @ | -inf | (* (/ -4 z) y) |
| 0.0ms | z | @ | 0 | (* (/ -4 z) y) |
| 0.0ms | z | @ | -inf | (* (/ -4 z) y) |
| 1× | batch-egg-rewrite |
| 3 266× | lower-fma.f64 |
| 3 266× | lower-fma.f32 |
| 2 116× | lower-*.f32 |
| 2 114× | lower-*.f64 |
| 2 036× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 19 | 8 |
| 2 | 71 | 8 |
| 3 | 276 | 8 |
| 4 | 1126 | 8 |
| 5 | 6662 | 8 |
| 0 | 8419 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 #s(literal -4 binary64) z) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))) #s(literal 0 binary64))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) #s(literal 0 binary64))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))))) |
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z))))) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))) |
(fma.f64 z (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))) #s(literal 0 binary64))) |
(fma.f64 z (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (*.f64 (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) #s(literal 0 binary64))) |
(fma.f64 z (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 z z)))))) |
(fma.f64 z (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))) |
(fma.f64 y #s(literal 0 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))) |
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(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -4 binary64) z)) |
(*.f64 (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) z)))) (sqrt.f64 (/.f64 #s(literal -4 binary64) z))) |
(*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 6× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 156 |
| 1 | 9 | 156 |
| 2 | 11 | 156 |
| 3 | 12 | 156 |
| 4 | 13 | 156 |
| 0 | 13 | 156 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(* -4 (/ y z)) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
(/ -4 z) |
| Outputs |
|---|
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(* -4 (/ y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
Compiled 14 570 to 1 448 computations (90.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 0 | 879 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 879 | 7 | 886 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
| ✓ | 63.4% | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
| ✓ | 71.8% | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| ✓ | 40.3% | (/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| ✓ | 31.8% | (/.f64 (*.f64 #s(literal 4 binary64) x) z) |
| ✓ | 40.1% | (*.f64 (/.f64 #s(literal -4 binary64) z) y) |
| ✓ | 33.3% | #s(literal -2 binary64) |
Compiled 139 to 81 computations (41.7% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
5 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 x y) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
5 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 x y) |
| 4.0ms | z |
| 4.0ms | y |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 99.8% | 1 | (-.f64 x y) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
5 calls:
| 36.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (-.f64 x y) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | x |
| 87.9% | 3 | y |
| 77.2% | 4 | z |
| 74.7% | 2 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 71.8% | 1 | (-.f64 x y) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 1 | y |
| 82.1% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 y #s(literal -4 binary64)) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) x) z) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
5 calls:
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | (-.f64 x y) |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 5 | y |
| 53.3% | 3 | (-.f64 x y) |
| 64.4% | 5 | z |
| 73.3% | 4 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 56.2% | 3 | x |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal -4 binary64) y) z) |
1 calls:
| 14.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
#s(literal -2 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
1 calls:
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 14 to 10 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -2 binary64) |
| Outputs |
|---|
#s(literal -2 binary64) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (-.f64 x y) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.3% | 1 | (-.f64 x y) |
| 33.3% | 1 | x |
| 33.3% | 1 | y |
| 33.3% | 1 | z |
| 33.3% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 6.0686856847878536e+131 | 1.4188456192954758e+132 |
| 10.0ms | -6.561523678455824e+44 | -3.338915834145652e+42 |
| 25.0ms | 192× | 0 | valid |
Compiled 257 to 208 computations (19.1% saved)
ival-sub: 2.0ms (35.2% of total)ival-mult: 2.0ms (35.2% of total)ival-div: 1.0ms (17.6% 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 | 1.4188456192954758e+132 | 3.8058582856483494e+139 |
| 7.0ms | -1.320126318721149e+106 | -4.186852435463759e+105 |
| 12.0ms | 224× | 0 | valid |
Compiled 283 to 226 computations (20.1% saved)
ival-sub: 2.0ms (30% of total)ival-div: 2.0ms (30% of total)ival-mult: 2.0ms (30% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9999858737639054 | 811195.0033784707 |
| 0.0ms | -81.00818976033592 | -2.017167004683598 |
| 0.0ms | -2.4459902880609024e+215 | -7.8139877244919e+211 |
Compiled 17 to 16 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9999858737639054 | 811195.0033784707 |
| 0.0ms | -81.00818976033592 | -2.017167004683598 |
Compiled 17 to 16 computations (5.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9999858737639054 | 811195.0033784707 |
| 0.0ms | -81.00818976033592 | -2.017167004683598 |
Compiled 17 to 16 computations (5.9% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 206 |
| 1 | 59 | 206 |
| 2 | 73 | 206 |
| 3 | 81 | 206 |
| 4 | 86 | 206 |
| 5 | 87 | 206 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(if (<=.f64 x #s(literal -9199999999999999979669542888415338212360192 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 749999999999999953720169355376478210485916537343249878908329899422805195800906322905060428992695566362935434996956846237114106380288 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -10999999999999999575470806119912524727153012060365639392672127546169617739588153019302688272960079081242624 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 299999999999999996618438121566071301709518013392447652713951839627853598812507196392381331852007101328252415874590344564590790829932544 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(if (<=.f64 x #s(literal -9199999999999999979669542888415338212360192 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 749999999999999953720169355376478210485916537343249878908329899422805195800906322905060428992695566362935434996956846237114106380288 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -10999999999999999575470806119912524727153012060365639392672127546169617739588153019302688272960079081242624 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 299999999999999996618438121566071301709518013392447652713951839627853598812507196392381331852007101328252415874590344564590790829932544 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 y (/.f64 #s(literal -4 binary64) z)))) |
#s(literal -2 binary64) |
| 9 634× | lower-fma.f64 |
| 9 634× | lower-fma.f32 |
| 8 214× | lower-fma.f64 |
| 8 214× | lower-fma.f32 |
| 5 472× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 71 |
| 0 | 35 | 71 |
| 1 | 152 | 67 |
| 2 | 1117 | 67 |
| 0 | 8456 | 66 |
| 0 | 127 | 1088 |
| 1 | 390 | 1087 |
| 2 | 1119 | 1031 |
| 3 | 3256 | 885 |
| 0 | 8216 | 800 |
| 0 | 12 | 26 |
| 0 | 20 | 26 |
| 1 | 72 | 26 |
| 2 | 493 | 26 |
| 3 | 5457 | 26 |
| 0 | 8056 | 26 |
| 0 | 472 | 3229 |
| 1 | 1429 | 3102 |
| 2 | 4211 | 3031 |
| 0 | 8772 | 2765 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 300 to 120 computations (60% saved)
Compiled 478 to 136 computations (71.5% saved)
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