
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 492.0ms | 8 256× | 0 | valid |
ival-mult: 149.0ms (52.3% of total)ival-sub: 123.0ms (43.2% of total)ival-true: 6.0ms (2.1% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | n*o | 16 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 16 | 0 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 16 | 0 | 0 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 240 |
| 1 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-mult: 6.0ms (47.5% of total)ival-sub: 5.0ms (39.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 608× | unsub-neg |
| 1 232× | lower-fma.f64 |
| 1 232× | lower-fma.f32 |
| 788× | distribute-lft-in |
| 690× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 105 | 82 |
| 2 | 285 | 81 |
| 3 | 1174 | 81 |
| 4 | 2720 | 81 |
| 5 | 4111 | 81 |
| 6 | 4516 | 81 |
| 7 | 4710 | 81 |
| 8 | 4796 | 81 |
| 9 | 4828 | 81 |
| 10 | 4879 | 81 |
| 11 | 4879 | 81 |
| 12 | 4879 | 81 |
| 13 | 4977 | 81 |
| 14 | 5005 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 23 | 9 |
| 2 | 52 | 9 |
| 3 | 153 | 9 |
| 4 | 442 | 9 |
| 5 | 939 | 9 |
| 6 | 1327 | 9 |
| 7 | 1625 | 9 |
| 8 | 1658 | 9 |
| 9 | 1658 | 9 |
| 0 | 1658 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
(negabs x)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.1% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 1 232× | lower-fma.f64 |
| 1 232× | lower-fma.f32 |
| 496× | lower-*.f32 |
| 492× | lower-*.f64 |
| 440× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 23 | 28 |
| 2 | 52 | 28 |
| 3 | 153 | 28 |
| 4 | 442 | 28 |
| 5 | 939 | 28 |
| 6 | 1327 | 28 |
| 7 | 1625 | 28 |
| 8 | 1658 | 28 |
| 9 | 1658 | 28 |
| 0 | 1658 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 z (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 3.7615230019916854 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 32.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-mult: 22.0ms (89.4% of total)ival-sub: 2.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* z (- 1 y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* x (- 1 (* (- 1 y) z))) |
| 1.0ms | z | @ | -inf | (- 1 (* (- 1 y) z)) |
| 1.0ms | x | @ | 0 | (* x (- 1 (* (- 1 y) z))) |
| 0.0ms | y | @ | inf | (- 1 (* (- 1 y) z)) |
| 0.0ms | x | @ | inf | (* x (- 1 (* (- 1 y) z))) |
| 1× | egg-herbie |
| 7 140× | lower-fma.f64 |
| 7 140× | lower-fma.f32 |
| 2 672× | lower-*.f64 |
| 2 672× | lower-*.f32 |
| 1 336× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 613 |
| 1 | 234 | 592 |
| 2 | 630 | 592 |
| 3 | 1394 | 592 |
| 4 | 4056 | 592 |
| 5 | 6304 | 592 |
| 6 | 7507 | 592 |
| 0 | 8012 | 544 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
z |
(+ z (* -1 (* y z))) |
(+ z (* -1 (* y z))) |
(+ z (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* y (+ (* -1 z) (/ z y))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 (* y z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
(* z (- 1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 z x)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* y z)) |
(*.f64 z (*.f64 y x)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* y z)) |
(*.f64 z (*.f64 y x)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* x (* z (- y 1))) |
(*.f64 z (-.f64 (*.f64 y x) x)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 z (-.f64 (*.f64 y x) x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
z |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(+ z (* -1 (* y z))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* y (+ (* -1 z) (/ z y))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
(* z (- 1 y)) |
(-.f64 z (*.f64 z y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 4 326× | lower-fma.f64 |
| 4 326× | lower-fma.f32 |
| 3 522× | lower-/.f64 |
| 3 522× | lower-/.f32 |
| 3 346× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 328 | 24 |
| 3 | 3538 | 24 |
| 0 | 9414 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z)) |
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 z (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z))) |
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) z) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) z #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 9 binary64)))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z)))))) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
Compiled 14 810 to 1 729 computations (88.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 8 | 539 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 532 | 8 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 94.1% | (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) | |
| ▶ | 78.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
| ▶ | 53.1% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| 60.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| 38.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| ▶ | 41.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ▶ | 41.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 160 to 98 computations (38.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 1216 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 (*.f64 z y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 2 208× | lower-fma.f32 |
| 2 204× | lower-fma.f64 |
| 848× | lower-*.f32 |
| 836× | lower-*.f64 |
| 580× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 136 |
| 0 | 40 | 136 |
| 1 | 75 | 134 |
| 2 | 139 | 133 |
| 3 | 334 | 133 |
| 4 | 657 | 133 |
| 5 | 1085 | 133 |
| 6 | 1689 | 133 |
| 7 | 2436 | 133 |
| 8 | 2785 | 133 |
| 9 | 2875 | 133 |
| 10 | 2899 | 133 |
| 11 | 2906 | 133 |
| 12 | 2913 | 133 |
| 13 | 2935 | 133 |
| 14 | 2943 | 133 |
| 0 | 2943 | 128 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
(-.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
z |
(+.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z)) |
(-.f64 (*.f64 z y) z) |
(-.f64 (*.f64 y z) z) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 z (fma.f64 y x x) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 z (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 z (fma.f64 y z #s(literal 1 binary64))) |
z |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 0.5597349827814277 | (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 3.7810542519916854 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 z y) z) | |
| accuracy | 3.7615230019916854 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) | |
| accuracy | 26.400221779578516 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 6.5172328646633915 | (*.f64 z (*.f64 y x)) | |
| accuracy | 35.465533836046454 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) | |
| accuracy | 3.7615230019916854 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| accuracy | 37.50524257701283 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 1.374430338986739 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 70.0ms | 256× | 0 | valid |
Compiled 120 to 24 computations (80% saved)
ival-mult: 15.0ms (53.4% of total)ival-add: 6.0ms (21.4% of total)ival-sub: 3.0ms (10.7% of total)ival-div: 3.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z y) z) (patch (-.f64 (*.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (* x z))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* z (+ 1 y))) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ 1 y))) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ 1 y))) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ y (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ y (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ y (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ z (* y z))) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ z (* y z))) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ z (* y z))) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (+ (/ 1 y) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (+ (/ 1 y) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (+ (/ 1 y) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ x (/ 1 (+ (* z (+ 1 y)) 1))) |
| 2.0ms | z | @ | inf | (* z y) |
| 2.0ms | x | @ | 0 | (+ (* (+ y -1) (* z x)) x) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* z (+ 1 y)) 1)) |
| 1.0ms | x | @ | 0 | (/ x (/ 1 (+ (* z (+ 1 y)) 1))) |
| 1× | egg-herbie |
| 12 242× | lower-fma.f64 |
| 12 242× | lower-fma.f32 |
| 4 462× | lower-*.f64 |
| 4 462× | lower-*.f32 |
| 3 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 3660 |
| 1 | 903 | 3358 |
| 2 | 2712 | 3169 |
| 0 | 8313 | 2964 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* 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) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 z) |
(- (* y z) z) |
(- (* y z) z) |
(- (* y z) z) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* 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) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* x (* z (+ 1 y))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* x (+ 1 z)) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
1 |
(+ 1 (* -1 (* z (+ 1 y)))) |
(+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y)))) |
(+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y)))) |
(/ 1 (* z (+ 1 y))) |
(/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z) |
(/ 1 (* z (+ 1 y))) |
(* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(/ 1 (+ 1 z)) |
(+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z))) |
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(/ 1 (* y z)) |
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y) |
(/ 1 (* y z)) |
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
1 |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(* z (+ 1 y)) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 y)) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+ 1 z) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(* y z) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* 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) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 (* y z)) z) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 (* y z)) z) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 y (-.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (* z (- y 1))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(+ 1 (* z (- y 1))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (- 1 y))) |
(-.f64 (*.f64 z y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* x (* y z)) |
(*.f64 z (*.f64 x y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x y) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(+ x (* x (* z (- y 1)))) |
(*.f64 x (fma.f64 z y (-.f64 #s(literal 1 binary64) z))) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
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(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z z) (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))) (/.f64 z (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 y (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 z z) (*.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) z)))) (/.f64 z (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (*.f64 y y))) |
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (+.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64))) y)) y) |
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y) |
(/.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (+.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64))) y)) y) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z y))))) y) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (+.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64))) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) y)) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (+ 1 y))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(+ 1 (* z (+ 1 y))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(+ 1 (* z (+ 1 y))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(+ 1 z) |
(+.f64 z #s(literal 1 binary64)) |
(+ 1 (+ z (* y z))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(+ 1 (+ z (* y z))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(+ 1 (+ z (* y z))) |
(+.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(* y z) |
(*.f64 z y) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(*.f64 y (+.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(*.f64 y (+.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(*.f64 y (+.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
| 9 942× | lower-fma.f32 |
| 9 938× | lower-fma.f64 |
| 4 516× | lower-*.f32 |
| 4 504× | lower-*.f64 |
| 3 346× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 120 |
| 0 | 40 | 120 |
| 1 | 160 | 118 |
| 2 | 1120 | 117 |
| 0 | 8721 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(*.f64 z (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z)) |
(-.f64 (*.f64 z y) z) |
(*.f64 z y) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 x (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(+.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) x) |
(+.f64 (/.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (*.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))))) |
(+.f64 (*.f64 y (*.f64 z x)) (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(+.f64 (*.f64 y (*.f64 z x)) (fma.f64 (neg.f64 x) z x)) |
(+.f64 (*.f64 (*.f64 z x) #s(literal -1 binary64)) (fma.f64 y (*.f64 z x) x)) |
(+.f64 (*.f64 (neg.f64 z) x) (fma.f64 y (*.f64 z x) x)) |
(+.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 (*.f64 z x) #s(literal -1 binary64))) |
(+.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 (neg.f64 z) x)) |
(+.f64 (+.f64 x (*.f64 (*.f64 z x) #s(literal -1 binary64))) (*.f64 y (*.f64 z x))) |
(+.f64 (+.f64 x (*.f64 (neg.f64 z) x)) (*.f64 y (*.f64 z x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (*.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (*.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))) (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 y (*.f64 z x) (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 y (*.f64 z x) (fma.f64 (neg.f64 x) z x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(fma.f64 z (*.f64 y x) (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 z (*.f64 y x) (fma.f64 (neg.f64 x) z x)) |
(fma.f64 z (fma.f64 y x (neg.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 x (*.f64 y z) (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 x (*.f64 y z) (fma.f64 (neg.f64 x) z x)) |
(fma.f64 x (fma.f64 y z (neg.f64 z)) x) |
(fma.f64 (*.f64 z x) y (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 z x) y (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 (*.f64 y x) z (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 y x) z (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (*.f64 y z) x (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 y z) x (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(fma.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (fma.f64 y z (neg.f64 z)))) |
(fma.f64 (neg.f64 x) z (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (neg.f64 x) (-.f64 z (*.f64 y z)) x) |
(fma.f64 (*.f64 (fma.f64 y z (neg.f64 z)) (*.f64 x (*.f64 x (fma.f64 y z (neg.f64 z))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y) x)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 z) x (fma.f64 y (*.f64 z x) x)) |
(fma.f64 (*.f64 y (*.f64 z x)) #s(literal 1 binary64) (fma.f64 (*.f64 z x) #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 y (*.f64 z x)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x)) |
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x) |
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) x) |
(fma.f64 (/.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 z x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 z x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 z) x) |
(fma.f64 (*.f64 x (neg.f64 z)) (-.f64 #s(literal 1 binary64) y) x) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 z (*.f64 y z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 x (fma.f64 y z (neg.f64 z)))) (*.f64 x (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (fma.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y) x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 z (*.f64 y z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 x (fma.f64 y z (neg.f64 z)))) (*.f64 x (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (fma.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y) x)) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 z (-.f64 z (*.f64 y z)) z) #s(literal 1 binary64)) (+.f64 x (*.f64 x (*.f64 (-.f64 z (*.f64 y z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 z (-.f64 z (*.f64 y z)) z) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (*.f64 y z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z)))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 y z (neg.f64 z))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))) (*.f64 (fma.f64 (-.f64 z (*.f64 y z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 y z)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) |
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(/.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
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(*.f64 (pow.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (fma.f64 y z z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 z (fma.f64 y z #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 z (fma.f64 y z #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (fma.f64 y z z)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 z (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 z (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y z z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y z z))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (fma.f64 y z z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(-.f64 y #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y)) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
Compiled 18 986 to 2 200 computations (88.4% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 117 | 10 | 1 127 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 121 | 14 | 1 135 |
| Status | Accuracy | Program |
|---|---|---|
| 94.1% | (fma.f64 (fma.f64 y z (neg.f64 z)) x x) | |
| 78.0% | (fma.f64 (fma.f64 y z z) x x) | |
| 57.0% | (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| 38.7% | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) | |
| ▶ | 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
| ▶ | 53.1% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
| 53.1% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) | |
| ▶ | 60.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ▶ | 38.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| 20.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) | |
| ✓ | 41.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ▶ | 43.3% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
| 43.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) | |
| ✓ | 41.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 290 to 168 computations (42.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 y z (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (fma.f64 x z x) | |
| cost-diff | 0 | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) | |
| cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
| 2 352× | lower-fma.f32 |
| 2 346× | lower-fma.f64 |
| 992× | lower-*.f32 |
| 982× | lower-*.f64 |
| 704× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 161 |
| 0 | 46 | 157 |
| 1 | 85 | 155 |
| 2 | 159 | 155 |
| 3 | 397 | 155 |
| 4 | 731 | 155 |
| 5 | 1243 | 155 |
| 6 | 1913 | 155 |
| 7 | 2775 | 155 |
| 8 | 3410 | 155 |
| 9 | 3657 | 155 |
| 10 | 3733 | 155 |
| 11 | 3747 | 155 |
| 12 | 3758 | 155 |
| 13 | 3838 | 155 |
| 14 | 3870 | 155 |
| 15 | 3870 | 155 |
| 0 | 3870 | 147 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(fma.f64 x z x) |
x |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
#s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) |
(fma.f64 y z (neg.f64 z)) |
y |
z |
(neg.f64 z) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(*.f64 z x) |
z |
x |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 z x x)) |
(fma.f64 x z x) |
(fma.f64 z x x) |
x |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) |
#s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z)) |
(fma.f64 y z (neg.f64 z)) |
(-.f64 (*.f64 y z) z) |
y |
z |
(neg.f64 z) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y z (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.7615230019916854 | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) | |
| accuracy | 26.400221779578516 | #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 3.7615230019916854 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| accuracy | 35.70434245864704 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 3.7615230019916854 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 27.573840101872882 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (fma.f64 x z x) | |
| accuracy | 26.328807950510825 | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.16585715476030194 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) | |
| accuracy | 0.22332001953688402 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) | |
| accuracy | 1.374430338986739 | (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
| 105.0ms | 256× | 0 | valid |
Compiled 135 to 30 computations (77.8% saved)
ival-mult: 73.0ms (80.9% of total)ival-add: 7.0ms (7.8% of total)ival-div: 6.0ms (6.7% of total)ival-sub: 3.0ms (3.3% of total)ival-neg: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) (patch (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) (patch #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x z x) (patch (fma.f64 x z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) (patch (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (* x z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (* -1 (* x z)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) (patch #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ 1 (+ (* (+ y -1) (* z x)) x)) |
| 0.0ms | x | @ | -inf | (/ 1 (+ (* (+ y -1) (* z x)) x)) |
| 0.0ms | y | @ | 0 | (/ 1 (+ (* (+ y -1) (* z x)) x)) |
| 0.0ms | y | @ | -inf | (/ 1 (+ (* (+ y -1) (* z x)) x)) |
| 0.0ms | x | @ | 0 | (/ 1 (+ (* (+ y -1) (* z x)) x)) |
| 1× | egg-herbie |
| 8 706× | lower-fma.f64 |
| 8 706× | lower-fma.f32 |
| 5 296× | lower-*.f64 |
| 5 296× | lower-*.f32 |
| 3 474× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 4330 |
| 1 | 957 | 3925 |
| 2 | 3162 | 3752 |
| 0 | 8158 | 3494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ 1 (+ x (* -1 (* x z)))) |
(+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(/ 1 (* x (* y z))) |
(/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y) |
(/ 1 (* x (* y z))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x z)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* y z)))) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* y (pow z 2))))) (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x z)))) y)) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(/ 1 x) |
(+ (* z (- (/ 1 x) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* -1 (* z (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* z (- (* z (* (pow (- y 1) 2) (- (/ 1 x) (/ y x)))) (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(/ 1 (* x (* z (- y 1)))) |
(/ (- (/ 1 (* x (- y 1))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (+ (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (* (pow z 3) (pow (- y 1) 4)))))) z) |
(/ 1 (* x (* z (- y 1)))) |
(* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 3)))) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 4)))) (/ 1 (* x (pow (- y 1) 3)))) z)) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* x (* z (- y 1))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (+ 1 (* z (- y 1)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* x (* z (+ 1 y))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* x (+ 1 z)) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
x |
(+ x (* x z)) |
(+ x (* x z)) |
(+ x (* x z)) |
(* x z) |
(* z (+ x (/ x z))) |
(* z (+ x (/ x z))) |
(* z (+ x (/ x z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ x z))))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 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) |
(* y z) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
1 |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 z) |
(- (* y z) z) |
(- (* y z) z) |
(- (* y z) z) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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) |
(* x z) |
| Outputs |
|---|
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
(* x (* y z)) |
(*.f64 x (*.f64 z y)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (* z (- y 1))) |
(*.f64 x (fma.f64 z y (neg.f64 z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* x (* z (- y 1))) |
(*.f64 x (fma.f64 z y (neg.f64 z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* x (+ 1 (* z (- y 1)))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(fma.f64 x (fma.f64 z y (neg.f64 z)) x) |
(/ 1 (+ x (* -1 (* x z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z))) |
(+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 x (/.f64 (*.f64 z y) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 (*.f64 x z) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z)))) |
(+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 y (*.f64 x (fma.f64 x (/.f64 (*.f64 z (*.f64 z y)) (*.f64 (-.f64 x (*.f64 x z)) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 x (*.f64 x z))))) (/.f64 z (*.f64 (-.f64 x (*.f64 x z)) (-.f64 (*.f64 x z) x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z)))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 y (fma.f64 (neg.f64 y) (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z z))) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 4 binary64))) (/.f64 (*.f64 z z) (*.f64 (-.f64 x (*.f64 x z)) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 (*.f64 x z) x)))))) (/.f64 (*.f64 x z) (*.f64 (-.f64 x (*.f64 x z)) (-.f64 (*.f64 x z) x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z)))) |
(/ 1 (* x (* y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) |
(/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))) y) |
(/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y) |
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(/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y) |
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(*.f64 y (-.f64 z (/.f64 z y))) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* z (- y 1)) |
(fma.f64 z y (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(fma.f64 z y (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(fma.f64 z y (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(fma.f64 z y (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(fma.f64 z y (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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) |
(* x z) |
(*.f64 x z) |
| 7 552× | lower-fma.f32 |
| 7 546× | lower-fma.f64 |
| 3 910× | lower-/.f32 |
| 3 906× | lower-/.f64 |
| 3 704× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 145 |
| 0 | 46 | 141 |
| 1 | 202 | 139 |
| 2 | 1451 | 139 |
| 0 | 8911 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(+.f64 y #s(literal -1 binary64)) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(fma.f64 x z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
#s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) |
(fma.f64 y z (neg.f64 z)) |
(neg.f64 z) |
(*.f64 z x) |
| Outputs |
|---|
(+.f64 x (*.f64 x (-.f64 (*.f64 y z) z))) |
(+.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)))) |
(exp.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))) (/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (-.f64 (*.f64 y z) z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y z) z)) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (-.f64 (*.f64 y z) z))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(fma.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y z) z))) |
(fma.f64 x (-.f64 (*.f64 y z) z) x) |
(fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y z) z))) |
(fma.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)))) |
(fma.f64 (-.f64 (*.f64 y z) z) x x) |
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x) |
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (/.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (/.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x) |
(fma.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 z x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z x) (+.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 z x) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 y z) z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x (-.f64 (*.f64 y z) z))))) (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (*.f64 y z) z) x))) |
(/.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x)) |
(/.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 x (-.f64 (*.f64 y z) z))) (*.f64 x (*.f64 x (-.f64 (*.f64 y z) z))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x))) (neg.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) z)) x))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 (*.f64 y z) z) x) (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))) (-.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 x (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 x (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)))) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (neg.f64 x))) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) #s(literal -1 binary64) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (neg.f64 x))) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
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(fma.f64 (/.f64 (*.f64 (*.f64 y z) z) #s(literal 1 binary64)) (/.f64 y (fma.f64 y z z)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) z) z) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 y z) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) z) (fma.f64 y z z)) (/.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y z z)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) y) z) (/.f64 z (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 z z) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) y) (fma.f64 y z z)) (/.f64 z #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(neg.f64 (-.f64 z (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 (*.f64 (*.f64 y z) z) y (*.f64 (*.f64 y z) z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 z) (*.f64 y z)) (*.f64 (fma.f64 y z z) (-.f64 z (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 z z (*.f64 (*.f64 y z) z)))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 y z) z) y (*.f64 (*.f64 y z) z)))) |
(/.f64 (*.f64 (-.f64 z (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (-.f64 z (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 z (*.f64 y z))) (*.f64 #s(literal 0 binary64) (-.f64 z (*.f64 y z)))))) |
(/.f64 (*.f64 (fma.f64 y z z) (-.f64 (*.f64 y z) z)) (fma.f64 y z z)) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z))))) (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 z z (*.f64 (*.f64 y z) z))))) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z))))) (neg.f64 (fma.f64 z z (fma.f64 (*.f64 (*.f64 y z) z) y (*.f64 (*.f64 y z) z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y z z) (-.f64 (*.f64 y z) z))) (neg.f64 (fma.f64 y z z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (-.f64 z (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (-.f64 z (*.f64 y z)))) |
(/.f64 (*.f64 (fma.f64 y z z) (-.f64 z (*.f64 y z))) (-.f64 (neg.f64 z) (*.f64 y z))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (*.f64 (fma.f64 y z z) (*.f64 z z))) (*.f64 (fma.f64 y z z) (fma.f64 y z z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y z z) (-.f64 z (*.f64 y z)))) (neg.f64 (-.f64 (neg.f64 z) (*.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 z z (*.f64 (*.f64 y z) z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y z z) (-.f64 (*.f64 y z) z)))) (neg.f64 (neg.f64 (fma.f64 y z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z)) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) (+.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (fma.f64 y z z)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)) |
(*.f64 #s(literal -1 binary64) (-.f64 z (*.f64 y z))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) z) |
(*.f64 z (+.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 z z (*.f64 (*.f64 y z) z))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 (*.f64 (*.f64 y z) z) y (*.f64 (*.f64 y z) z))))) |
(*.f64 (*.f64 (fma.f64 y z z) (-.f64 (*.f64 y z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y z z))) |
(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (fma.f64 z z (*.f64 (*.f64 y z) z)))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 y z z) (-.f64 (*.f64 y z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z z)))) |
(*.f64 (*.f64 (fma.f64 y z z) (-.f64 z (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) (*.f64 y z)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 z (*.f64 y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y z) z) z) (/.f64 (fma.f64 y z z) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 y z) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y z z) (fma.f64 y z z))) |
(*.f64 (/.f64 (-.f64 (*.f64 y z) z) (+.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y z z) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (/.f64 (fma.f64 y z z) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (neg.f64 z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z)))) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 (*.f64 z (*.f64 z z)) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (*.f64 z z)) z) |
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 z (/.f64 #s(literal 1 binary64) x)) |
(*.f64 z x) |
(*.f64 x z) |
Compiled 18 482 to 1 805 computations (90.2% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 997 | 3 | 1 000 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 999 | 15 | 1 014 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.1% | (fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
| 78.0% | (fma.f64 (fma.f64 y z z) x x) | |
| ▶ | 57.0% | (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
| ▶ | 38.7% | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
| ✓ | 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
| ✓ | 53.1% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
| 53.1% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) x) | |
| 20.7% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) | |
| ✓ | 60.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ✓ | 38.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 41.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ✓ | 43.3% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
| ▶ | 5.2% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
| ▶ | 43.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| ✓ | 41.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 254 to 145 computations (42.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y z z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) | |
| cost-diff | 1984 | (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) y) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (* x z) x) (*.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 y z (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
| 14 768× | lower-fma.f32 |
| 14 758× | lower-fma.f64 |
| 3 994× | lower-*.f32 |
| 3 984× | lower-*.f64 |
| 2 216× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 184 |
| 0 | 54 | 171 |
| 1 | 118 | 165 |
| 2 | 285 | 164 |
| 3 | 920 | 164 |
| 4 | 3238 | 164 |
| 5 | 6457 | 164 |
| 0 | 8171 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(fma.f64 y z (neg.f64 z)) |
y |
z |
(neg.f64 z) |
x |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
#s(approx (+ (* x z) x) (*.f64 x z)) |
(*.f64 x z) |
x |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) |
#s(literal 1 binary64) |
#s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) |
x |
(fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) |
(fma.f64 y z z) |
y |
z |
#s(literal -1 binary64) |
(fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(fma.f64 z (-.f64 (*.f64 y x) x) x) |
(fma.f64 y z (neg.f64 z)) |
(-.f64 (*.f64 y z) z) |
y |
z |
(neg.f64 z) |
x |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 z x))) |
#s(approx (+ (* x z) x) (*.f64 x z)) |
#s(approx (+ (* x z) x) (*.f64 z x)) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) |
(*.f64 (*.f64 z x) y) |
(*.f64 y (*.f64 z x)) |
(*.f64 z x) |
z |
x |
y |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
(*.f64 x #s(approx (+ (* z (+ 1 y)) 1) (*.f64 y z))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 y z))) |
#s(literal 1 binary64) |
#s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) |
#s(approx (+ (* z (+ 1 y)) 1) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 z (fma.f64 y x x) x) |
(*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) |
x |
(fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) |
(fma.f64 y z z) |
y |
z |
#s(literal -1 binary64) |
(fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 z (fma.f64 y z #s(literal -1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) | |
| accuracy | 2.398065538914544 | (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) | |
| accuracy | 17.50548843499839 | (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.5597349827814277 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) | |
| accuracy | 3.7810542519916854 | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) | |
| accuracy | 35.70950669777952 | #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 4.510917950972486 | (*.f64 (*.f64 z x) y) | |
| accuracy | 35.465533836046454 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 26.328807950510825 | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) | |
| accuracy | 34.93013408442484 | #s(approx (+ (* x z) x) (*.f64 x z)) | |
| accuracy | 0 | (fma.f64 y z (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.7458980019916854 | (fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
| 79.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 169 to 34 computations (79.9% saved)
ival-mult: 18.0ms (50% of total)ival-add: 10.0ms (27.8% of total)ival-div: 5.0ms (13.9% of total)ival-sub: 2.0ms (5.6% of total)ival-neg: 1.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) (patch #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x z) x) (*.f64 x z)) (patch #s(approx (+ (* x z) x) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z x) y) (patch (*.f64 (*.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) (patch #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (* x z))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* x (* y z)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* z (+ 1 (* -1 y))))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* y z)) z)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- (* y z) z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- (* y z) z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- (* y z) z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (- (* y z) z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y z (neg.f64 z)) x x) (patch (fma.f64 (fma.f64 y z (neg.f64 z)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) z) (taylor 0 y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ z y)))) (taylor inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ z y)))) (taylor -inf y) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 y z (neg.f64 z)) (patch (fma.f64 y z (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* z (+ 1 y)))) (taylor 0 x) (#s(alt #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) (patch #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y z)) (taylor 0 y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y z)) (taylor 0 y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y z)) (taylor 0 y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ z y))) (taylor inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ z y))) (taylor inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ z y))) (taylor inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor 0 z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor 0 z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor 0 z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor 0 z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) 1))) (taylor -inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) 1))) (taylor -inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) 1))) (taylor -inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) 1))) (taylor -inf z) (#s(alt (fma.f64 y z z) (patch (fma.f64 y z z) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (+ 1 y)) 1) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (+ 1 y)) 1) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (+ 1 y)) 1) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ 1 y) (/ 1 z))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ 1 y) (/ 1 z))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ 1 y) (/ 1 z))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 y)) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- z 1) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ z (* y z)) 1) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ z (* y z)) 1) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ z (* y z)) 1) (taylor 0 y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ z y)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ z y)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ z y)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) (taylor -inf y) (#s(alt (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (+ (* z (+ y 1)) -1) |
| 1.0ms | y | @ | inf | (/ (* x (+ (* (+ (* y z) z) (+ (* y z) z)) -1)) (+ (* z (+ y 1)) -1)) |
| 1.0ms | x | @ | 0 | (/ (* x (+ (* (+ (* y z) z) (+ (* y z) z)) -1)) (+ (* z (+ y 1)) -1)) |
| 1.0ms | y | @ | 0 | (/ (* x (+ (* (+ (* y z) z) (+ (* y z) z)) -1)) (+ (* z (+ y 1)) -1)) |
| 1.0ms | y | @ | -inf | (/ (* x (+ (* (+ (* y z) z) (+ (* y z) z)) -1)) (+ (* z (+ y 1)) -1)) |
| 1× | egg-herbie |
| 7 970× | lower-fma.f64 |
| 7 970× | lower-fma.f32 |
| 5 606× | lower-*.f64 |
| 5 606× | lower-*.f32 |
| 2 172× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 5207 |
| 1 | 1641 | 4954 |
| 2 | 5461 | 4856 |
| 0 | 8321 | 4494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (+ 1 (* -1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* x (- (+ 1 (* y z)) z)) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(* -1 z) |
(- (* y z) z) |
(- (* y z) z) |
(- (* y z) z) |
(* y z) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* z (- y 1)) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 (* z (+ 1 (* -1 y)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* x (* z (+ 1 y))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* x (+ 1 z)) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* x (+ 1 z)) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
(* -1 (* x (- (* -1 z) 1))) |
x |
(+ x (* x z)) |
(+ x (* x z)) |
(+ x (* x z)) |
(* x z) |
(* z (+ x (/ x z))) |
(* z (+ x (/ x z))) |
(* z (+ x (/ x z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ 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) |
(* x z) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (* y z)) (* x (- 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* x (* z (- y 1)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y 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) |
(* x z) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
(* x (+ 1 (* z (+ 1 y)))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* x (* z (+ 1 y))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* x (+ 1 y))) (* -1 (/ x z))))) |
(* x (+ 1 z)) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(+ (* x (* y z)) (* x (+ 1 z))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* y (+ (* x z) (/ (* x (+ 1 z)) y))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y))))) |
1 |
(+ 1 (* -1 (* z (+ 1 y)))) |
(+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y)))) |
(+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y)))) |
(/ 1 (* z (+ 1 y))) |
(/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z) |
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z) |
(/ 1 (* z (+ 1 y))) |
(* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z)) |
(/ 1 (+ 1 z)) |
(+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z))) |
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z))) |
(/ 1 (* y z)) |
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y) |
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y) |
(/ 1 (* y z)) |
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
1 |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(+ 1 (* z (+ 1 y))) |
(* z (+ 1 y)) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 (+ y (/ 1 z)))) |
(* z (+ 1 y)) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z)))) |
(+ 1 z) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(+ 1 (+ z (* y z))) |
(* y z) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y (+ z (+ (/ 1 y) (/ z y)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y))))) |
(* 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) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow (+ z (* y z)) 2) 1)) (- (* z (+ 1 y)) 1)) |
(/ (* x (- (pow z 2) 1)) (- z 1)) |
(+ (* y (- (* 2 (/ (* x (pow z 2)) (- z 1))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (/ (* x (- (pow z 2) 1)) (- z 1))) |
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (- z 1))) (* y (- (/ (* x (pow z 2)) (- z 1)) (/ (* z (- (* 2 (/ (* x (pow z 2)) (- z 1))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (- z 1))))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (/ (* x (- (pow z 2) 1)) (- z 1))) |
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (- z 1))) (* y (- (+ (* -1 (/ (* y (* z (- (/ (* x (pow z 2)) (- z 1)) (/ (* z (- (* 2 (/ (* x (pow z 2)) (- z 1))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (- z 1))))) (- z 1))) (/ (* x (pow z 2)) (- z 1))) (/ (* z (- (* 2 (/ (* x (pow z 2)) (- z 1))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (- z 1))))) (/ (* x (* z (- (pow z 2) 1))) (pow (- z 1) 2)))) (/ (* x (- (pow z 2) 1)) (- z 1))) |
(* x (* y z)) |
(* y (- (+ (* 2 (/ (* x z) y)) (* x z)) (/ (* x (- z 1)) y))) |
(* y (- (+ (* 2 (/ (* x z) y)) (+ (* x z) (/ (* x (- (pow z 2) 1)) (* (pow y 2) z)))) (+ (/ (* x (- z 1)) y) (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) (* (pow y 2) z))))) |
(* y (- (+ (* -1 (/ (* (- z 1) (- (/ (* x (- (pow z 2) 1)) z) (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) z))) (* (pow y 3) z))) (+ (* 2 (/ (* x z) y)) (+ (* x z) (/ (* x (- (pow z 2) 1)) (* (pow y 2) z))))) (+ (/ (* x (- z 1)) y) (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) (* (pow y 2) z))))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* 2 (* x z)) (* x (- z 1))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* x (- (pow z 2) 1)) z)) (* -1 (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) z))) y)) (* 2 (* x z))) (* x (- z 1))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (- (pow z 2) 1)) z)) (* -1 (/ (* (- z 1) (- (* -1 (/ (* x (- (pow z 2) 1)) z)) (* -1 (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) z)))) (* y z)))) (* -1 (/ (* (- z 1) (- (* 2 (* x z)) (* x (- z 1)))) z))) y)) (* 2 (* x z))) (* x (- z 1))) y))))) |
x |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(+ x (* x (* z (+ 1 y)))) |
(* x (* z (+ 1 y))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(* z (+ (* x (+ 1 y)) (/ x z))) |
(/ (* x (* z (pow (- (* -1 y) 1) 2))) (+ 1 y)) |
(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (* z (pow (+ 1 y) 2)))) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (+ 1 y)) (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 3))) z)) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 4)) (/ x (pow (+ 1 y) 2))) z)) (/ x (+ 1 y))) (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 3))) z)) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 2)))) z))))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(* x (- (pow z 2) 1)) |
(+ (* 2 (* x (* y (pow z 2)))) (* x (- (pow z 2) 1))) |
(+ (* x (- (pow z 2) 1)) (* y (+ (* 2 (* x (pow z 2))) (* x (* y (pow z 2)))))) |
(+ (* x (- (pow z 2) 1)) (* y (+ (* 2 (* x (pow z 2))) (* x (* y (pow z 2)))))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (* x (pow z 2)))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (+ (* x (pow z 2)) (/ (* x (- (pow z 2) 1)) (pow y 2))))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (+ (* x (pow z 2)) (/ (* x (- (pow z 2) 1)) (pow y 2))))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (* x (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (- (pow z 2) 1)) y))) y)) (* x (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (- (pow z 2) 1)) y))) y)) (* x (pow z 2)))) |
(* -1 x) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(* x (* (pow z 2) (pow (+ 1 y) 2))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(* x (* (pow z 2) (pow (- (* -1 y) 1) 2))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(- (pow z 2) 1) |
(- (+ (* 2 (* y (pow z 2))) (pow z 2)) 1) |
(- (+ (* y (+ (* 2 (pow z 2)) (* y (pow z 2)))) (pow z 2)) 1) |
(- (+ (* y (+ (* 2 (pow z 2)) (* y (pow z 2)))) (pow z 2)) 1) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* 2 (/ (pow z 2) y)) (pow z 2))) |
(* (pow y 2) (- (+ (* 2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (+ (* 2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* 2 (/ (pow z 2) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (- (pow z 2) 1) y))) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (- (pow z 2) 1) y))) y)) (pow z 2))) |
-1 |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(* (pow z 2) (pow (+ 1 y) 2)) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (pow (- (* -1 y) 1) 2)) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
z |
(+ z (* y z)) |
(+ z (* y z)) |
(+ z (* y z)) |
(* y z) |
(* y (+ z (/ z y))) |
(* y (+ z (/ z y))) |
(* y (+ z (/ z y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* z (+ 1 y)) |
(* -1 (* z (- (* -1 y) 1))) |
(* -1 (* z (- (* -1 y) 1))) |
(* -1 (* z (- (* -1 y) 1))) |
(* -1 (* z (- (* -1 y) 1))) |
-1 |
(- (* z (+ 1 y)) 1) |
(- (* z (+ 1 y)) 1) |
(- (* z (+ 1 y)) 1) |
(* z (+ 1 y)) |
(* z (- (+ 1 y) (/ 1 z))) |
(* z (- (+ 1 y) (/ 1 z))) |
(* z (- (+ 1 y) (/ 1 z))) |
(* z (+ 1 y)) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(- z 1) |
(- (+ z (* y z)) 1) |
(- (+ z (* y z)) 1) |
(- (+ z (* y z)) 1) |
(* y z) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
| Outputs |
|---|
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 y (*.f64 x (-.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) y)))) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(+ x (* x (* z (- y 1)))) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (* z (- y 1))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* x (* z (+ 1 (* -1 y))))) |
(*.f64 x (-.f64 (*.f64 z y) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 y)))))) |
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* x (- (+ 1 (* y z)) z)) |
(fma.f64 x (-.f64 (*.f64 z y) z) x) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(*.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(*.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(*.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (- (* y z) z)) 1))) |
(*.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(- (* y z) z) |
(-.f64 (*.f64 z y) z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 y (-.f64 z (/.f64 z y))) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* z (- y 1)) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 (* z (+ 1 (* -1 y)))) |
(-.f64 (*.f64 z y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
(* x (+ 1 (* z (+ 1 y)))) |
(fma.f64 x (fma.f64 z y z) x) |
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(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (* z (pow (+ 1 y) 2)))) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y)))))) |
(*.f64 z (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 z y z))) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))))) |
(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (+ 1 y)) (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 3))) z)) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 2)))) z))))) |
(*.f64 z (+.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (-.f64 (/.f64 x (fma.f64 z y z)) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (*.f64 (fma.f64 z y z) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))))) z))) |
(* -1 (* z (+ (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (+ 1 y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 4)) (/ x (pow (+ 1 y) 2))) z)) (/ x (+ 1 y))) (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 3))) z)) (* -1 (/ (* x (pow (- (* -1 y) 1) 2)) (pow (+ 1 y) 2)))) z))))) |
(*.f64 z (+.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (+.f64 y #s(literal 1 binary64))) (+.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (-.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (*.f64 z (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 x (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 z y z)))))) (*.f64 z z)) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 z y z)))))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow (+ z (* y z)) 2) 1)) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (- (pow z 2) 1)) |
(*.f64 x (fma.f64 z z #s(literal -1 binary64))) |
(+ (* 2 (* x (* y (pow z 2)))) (* x (- (pow z 2) 1))) |
(fma.f64 x (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z z))))) |
(+ (* x (- (pow z 2) 1)) (* y (+ (* 2 (* x (pow z 2))) (* x (* y (pow z 2)))))) |
(fma.f64 y (*.f64 (*.f64 z z) (fma.f64 x y (*.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) |
(+ (* x (- (pow z 2) 1)) (* y (+ (* 2 (* x (pow z 2))) (* x (* y (pow z 2)))))) |
(fma.f64 y (*.f64 (*.f64 z z) (fma.f64 x y (*.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 x (*.f64 z (*.f64 z y)))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (* x (pow z 2)))) |
(*.f64 y (*.f64 y (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z z))) y)))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (+ (* x (pow z 2)) (/ (* x (- (pow z 2) 1)) (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x (fma.f64 z z (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z z))) y))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (+ (* x (pow z 2)) (/ (* x (- (pow z 2) 1)) (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x (fma.f64 z z (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z z))) y))) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 x (*.f64 z (*.f64 z y)))) |
(* (pow y 2) (+ (* 2 (/ (* x (pow z 2)) y)) (* x (pow z 2)))) |
(*.f64 y (*.f64 y (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 z z))) y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (- (pow z 2) 1)) y))) y)) (* x (pow z 2)))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 z z)) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 x (/.f64 (fma.f64 z z #s(literal -1 binary64)) y))) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (- (pow z 2) 1)) y))) y)) (* x (pow z 2)))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 z z)) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 x (/.f64 (fma.f64 z z #s(literal -1 binary64)) y))) y))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(+ (* -1 x) (* x (* (pow z 2) (pow (+ 1 y) 2)))) |
(*.f64 x (fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64))) |
(* x (* (pow z 2) (pow (+ 1 y) 2))) |
(*.f64 x (*.f64 (fma.f64 z y z) (fma.f64 z y z))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(* x (* (pow z 2) (pow (- (* -1 y) 1) 2))) |
(*.f64 x (*.f64 (fma.f64 z y z) (fma.f64 z y z))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(* (pow z 2) (+ (* -1 (/ x (pow z 2))) (* x (pow (- (* -1 y) 1) 2)))) |
(*.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x y x)) (/.f64 x (*.f64 z z)))) |
(- (pow z 2) 1) |
(fma.f64 z z #s(literal -1 binary64)) |
(- (+ (* 2 (* y (pow z 2))) (pow z 2)) 1) |
(fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 z z) #s(literal -1 binary64)) |
(- (+ (* y (+ (* 2 (pow z 2)) (* y (pow z 2)))) (pow z 2)) 1) |
(fma.f64 z z (fma.f64 (*.f64 z (*.f64 z y)) (+.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))) |
(- (+ (* y (+ (* 2 (pow z 2)) (* y (pow z 2)))) (pow z 2)) 1) |
(fma.f64 z z (fma.f64 (*.f64 z (*.f64 z y)) (+.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))) |
(* (pow y 2) (pow z 2)) |
(*.f64 z (*.f64 z (*.f64 y y))) |
(* (pow y 2) (+ (* 2 (/ (pow z 2) y)) (pow z 2))) |
(*.f64 y (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y) (*.f64 z z)))) |
(* (pow y 2) (- (+ (* 2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 z z (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y y))))) |
(* (pow y 2) (- (+ (* 2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 z z (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y y))))) |
(* (pow y 2) (pow z 2)) |
(*.f64 z (*.f64 z (*.f64 y y))) |
(* (pow y 2) (+ (* 2 (/ (pow z 2) y)) (pow z 2))) |
(*.f64 y (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y) (*.f64 z z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (- (pow z 2) 1) y))) y)) (pow z 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (/.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) y)) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (- (pow z 2) 1) y))) y)) (pow z 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (/.f64 (fma.f64 z (neg.f64 z) #s(literal 1 binary64)) y)) y))) |
-1 |
#s(literal -1 binary64) |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64)) |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64)) |
(- (* (pow z 2) (pow (+ 1 y) 2)) 1) |
(fma.f64 (fma.f64 z y z) (fma.f64 z y z) #s(literal -1 binary64)) |
(* (pow z 2) (pow (+ 1 y) 2)) |
(*.f64 (fma.f64 z y z) (fma.f64 z y z)) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(* (pow z 2) (- (pow (+ 1 y) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(* (pow z 2) (pow (- (* -1 y) 1) 2)) |
(*.f64 (fma.f64 z y z) (fma.f64 z y z)) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(* (pow z 2) (- (pow (- (* -1 y) 1) 2) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 z z) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
z |
(+ z (* y z)) |
(fma.f64 z y z) |
(+ z (* y z)) |
(fma.f64 z y z) |
(+ z (* y z)) |
(fma.f64 z y z) |
(* y z) |
(*.f64 z y) |
(* y (+ z (/ z y))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* y (+ z (/ z y))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* y (+ z (/ z y))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ z y))))) |
(*.f64 y (+.f64 z (/.f64 z y))) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 y) 1))) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 y) 1))) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 y) 1))) |
(fma.f64 z y z) |
(* -1 (* z (- (* -1 y) 1))) |
(fma.f64 z y z) |
-1 |
#s(literal -1 binary64) |
(- (* z (+ 1 y)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(- (* z (+ 1 y)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(- (* z (+ 1 y)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* z (- (+ 1 y) (/ 1 z))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* z (- (+ 1 y) (/ 1 z))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* z (- (+ 1 y) (/ 1 z))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* z (+ 1 y)) |
(fma.f64 z y z) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* -1 (* z (+ (* -1 (+ 1 y)) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(- z 1) |
(+.f64 #s(literal -1 binary64) z) |
(- (+ z (* y z)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(- (+ z (* y z)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(- (+ z (* y z)) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 z y z)) |
(* y z) |
(*.f64 z y) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(* y (- (+ z (/ z y)) (/ 1 y))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- z 1) y))))) |
(fma.f64 y (+.f64 z (/.f64 z y)) #s(literal -1 binary64)) |
| 4 348× | lower-*.f32 |
| 4 338× | lower-*.f64 |
| 4 334× | lower-/.f32 |
| 4 328× | lower-/.f64 |
| 3 604× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 164 |
| 0 | 54 | 147 |
| 1 | 274 | 141 |
| 2 | 2027 | 141 |
| 0 | 8237 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(fma.f64 y z (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
#s(approx (+ (* x z) x) (*.f64 x z)) |
(*.f64 x z) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y))) |
#s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)) |
(*.f64 z y) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) |
(fma.f64 y z z) |
(fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (*.f64 y z) z) x)) |
(+.f64 (*.f64 (-.f64 (*.f64 y z) z) x) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 y z) z) x) (*.f64 (-.f64 (*.f64 y z) z) x)) (-.f64 (*.f64 (-.f64 (*.f64 y z) z) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 y z) z) x) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (*.f64 y z) z) x))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 y z) z) x) (*.f64 (-.f64 (*.f64 y z) z) x)) (-.f64 x (*.f64 (-.f64 (*.f64 y z) z) x)))) |
(fma.f64 (-.f64 (*.f64 y z) z) x x) |
(fma.f64 x (-.f64 (*.f64 y z) z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y z) z) x)) |
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(fma.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z))) (fma.f64 y z z) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 z (-.f64 z (*.f64 y z))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z)) (*.f64 (-.f64 (*.f64 y z) z) (fma.f64 y z z))) #s(literal 1 binary64)) (fma.f64 y z z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))) (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))) (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))) |
(/.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y z z) (fma.f64 y z z)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))))) |
(/.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y z z) (fma.f64 y z z)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z))) #s(literal 1 binary64)) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z z) (fma.f64 y z z))) (-.f64 #s(literal -1 binary64) (fma.f64 y z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y z z) (fma.f64 y z z)) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y z z) (fma.f64 y z z)) (neg.f64 (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y z z) (fma.f64 y z z)) (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z z) (fma.f64 y z z)))) (neg.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y z z)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))) (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 y z z) (*.f64 (fma.f64 y z z) (fma.f64 y z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))))) |
(*.f64 (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
Compiled 22 866 to 2 055 computations (91% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 049 | 3 | 1 052 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 053 | 14 | 1 067 |
| Status | Accuracy | Program |
|---|---|---|
| 78.4% | (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) | |
| 60.4% | (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) | |
| 18.2% | (/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) #s(approx (+ (* z (+ y 1)) -1) (*.f64 z y))) | |
| ✓ | 38.7% | (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
| ✓ | 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
| ✓ | 53.1% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
| 53.1% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) x) | |
| 20.7% | (*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) | |
| ✓ | 38.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 41.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ✓ | 43.3% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
| ✓ | 5.2% | #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
| ✓ | 43.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
| ✓ | 41.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
Compiled 356 to 138 computations (61.2% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 (fma.f64 y z z) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(fma.f64 (fma.f64 y z (neg.f64 z)) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (+ 1 y)) 1) (*.f64 z y)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) #s(approx (+ (* z (+ y 1)) -1) (*.f64 z y))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z z) (fma.f64 y z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
7 calls:
| 28.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 9.0ms | x |
| 9.0ms | z |
| 8.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 97.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 97.9% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 97.9% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 (fma.f64 y z z) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
7 calls:
| 9.0ms | y |
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 94.1% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 94.1% | 1 | x |
| 94.1% | 1 | y |
| 94.1% | 1 | z |
| 99.9% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 (fma.f64 y z z) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
7 calls:
| 33.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 25.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | x |
| 92.8% | 3 | z |
| 93.6% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 93.6% | 3 | y |
| 88.7% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 98.4% | 5 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 98.4% | 5 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 (fma.f64 y z z) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
2 calls:
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 5 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 98.4% | 5 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 (fma.f64 y z z) x x) |
| Outputs |
|---|
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) |
3 calls:
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 3 | y |
| 85.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 85.9% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
5 calls:
| 5.0ms | (-.f64 #s(literal 1 binary64) y) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 81.5% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 72.3% | 3 | z |
| 84.6% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 84.6% | 3 | y |
Compiled 36 to 26 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) |
4 calls:
| 6.0ms | y |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 83.5% | 3 | y |
| 84.1% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 84.1% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
| Outputs |
|---|
(fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
7 calls:
| 6.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | z |
| 60.4% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 60.4% | 1 | x |
| 63.0% | 2 | (-.f64 #s(literal 1 binary64) y) |
| 63.0% | 2 | y |
| 60.4% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 60.4% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
2 calls:
| 4.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | y |
| 63.0% | 2 | (-.f64 #s(literal 1 binary64) y) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (+ (* y z) (neg z)) (neg.f64 z))) x) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) |
7 calls:
| 168.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 2.0ms | y |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 3 | z |
| 54.0% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 59.0% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 59.0% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 46.8% | 3 | x |
| 43.3% | 1 | y |
| 43.3% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 48 to 35 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
| Outputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
6 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | y |
| 43.3% | 1 | x |
| 43.3% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 43.3% | 1 | z |
| 43.3% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 43.3% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Compiled 42 to 30 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
7 calls:
| 9.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 1 | z |
| 41.6% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 41.6% | 1 | x |
| 41.6% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 41.6% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 41.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 41.6% | 1 | y |
Compiled 48 to 35 computations (27.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
| Outputs |
|---|
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
7 calls:
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) y) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | z |
| 5.2% | 1 | y |
| 5.2% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 5.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 5.2% | 1 | x |
| 5.2% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 5.2% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Compiled 48 to 35 computations (27.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7958514035196256e+293 | 1.4729176127073032e+294 |
| 0.0ms | -inf | -3.475635012482449e+307 |
Compiled 15 to 15 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7958514035196256e+293 | 1.4729176127073032e+294 |
| 0.0ms | 0.09147053823375068 | 3.289487270343466 |
| 0.0ms | -19059958974107996.0 | -16643705986014898.0 |
| 0.0ms | -inf | -3.475635012482449e+307 |
Compiled 15 to 15 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7958514035196256e+293 | 1.4729176127073032e+294 |
| 0.0ms | 0.09147053823375068 | 3.289487270343466 |
| 0.0ms | -19059958974107996.0 | -16643705986014898.0 |
| 0.0ms | -inf | -3.475635012482449e+307 |
Compiled 15 to 15 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.341242948192747e-10 | 5.7748251207461906e-8 |
| 364.0ms | -66931.38315080944 | -0.4606749360727619 |
| 12.0ms | 272× | 0 | valid |
Compiled 372 to 218 computations (41.4% saved)
ival-sub: 3.0ms (48.6% of total)ival-mult: 3.0ms (48.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.345615828702442e+71 | 3.016533642666144e+74 |
| 0.0ms | -5.471710245559233e+62 | -1.0329913694131315e+61 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0329913694131315e+61 | 5.471710245559233e+62 |
| 0.0ms | -5.6090083852252194e+54 | -3.1246892182923756e+50 |
Compiled 15 to 15 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.341242948192747e-10 | 5.7748251207461906e-8 |
Compiled 167 to 102 computations (38.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 381.0ms | -0.6947797470141517 | 0.9999999422517488 |
| 10.0ms | 240× | 0 | valid |
Compiled 300 to 195 computations (35% saved)
ival-mult: 3.0ms (66.1% of total)ival-sub: 1.0ms (22% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 16643705986014900.0 | 19059958974107996.0 |
| 0.0ms | -2.289487270343466 | 0.9085294617662494 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 260× | distribute-lft-neg-in_binary64 |
| 140× | unsub-neg_binary64 |
| 128× | neg-mul-1_binary64 |
| 112× | neg-sub0_binary64 |
| 90× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 620 |
| 1 | 129 | 620 |
| 2 | 148 | 620 |
| 3 | 164 | 620 |
| 4 | 202 | 620 |
| 5 | 254 | 620 |
| 6 | 314 | 620 |
| 7 | 381 | 620 |
| 8 | 469 | 620 |
| 9 | 548 | 620 |
| 10 | 629 | 620 |
| 11 | 695 | 620 |
| 12 | 750 | 620 |
| 13 | 775 | 620 |
| 14 | 780 | 620 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -18000000000000000 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -7341515897069997/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -18000000000000000 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (fma.f64 y z (neg.f64 z)))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 y z)) x x) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 z y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -inf.0 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 y z)) x x) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 (*.f64 y z) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))))))) |
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 z y)) x x))) |
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 y z)) x x) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) (fma.f64 #s(approx (+ (* y z) (neg z)) (*.f64 y z)) x x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal -500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 y (*.f64 z x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 z (*.f64 y x))))) |
(if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) (fma.f64 #s(approx (+ (* y z) (neg z)) (neg.f64 z)) x x) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -7341515897069997/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) #s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal -2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal 18000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (- (* z y) z) (neg.f64 z)))))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) (fma.f64 x z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 x z))) |
#s(approx (/ x (/ 1 (+ (* z (+ 1 y)) 1))) #s(approx (+ (* x z) x) (*.f64 z x))) |
| 12 242× | lower-fma.f64 |
| 12 242× | lower-fma.f32 |
| 9 942× | lower-fma.f32 |
| 9 938× | lower-fma.f64 |
| 8 706× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 4330 |
| 1 | 957 | 3925 |
| 2 | 3162 | 3752 |
| 0 | 8158 | 3494 |
| 0 | 74 | 613 |
| 1 | 234 | 592 |
| 2 | 630 | 592 |
| 3 | 1394 | 592 |
| 4 | 4056 | 592 |
| 5 | 6304 | 592 |
| 6 | 7507 | 592 |
| 0 | 8012 | 544 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 328 | 24 |
| 3 | 3538 | 24 |
| 0 | 9414 | 22 |
| 0 | 270 | 3660 |
| 1 | 903 | 3358 |
| 2 | 2712 | 3169 |
| 0 | 8313 | 2964 |
| 0 | 25 | 120 |
| 0 | 40 | 120 |
| 1 | 160 | 118 |
| 2 | 1120 | 117 |
| 0 | 8721 | 112 |
| 0 | 485 | 5207 |
| 1 | 1641 | 4954 |
| 2 | 5461 | 4856 |
| 0 | 8321 | 4494 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 800 to 312 computations (61% saved)
(negabs x)
Compiled 1 022 to 278 computations (72.8% saved)
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