
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 11 computations (0% saved)
| 626.0ms | 8 256× | 0 | valid |
ival-add: 158.0ms (47% of total)ival-mult: 68.0ms (20.2% of total)ival-div: 58.0ms (17.3% of total)ival-sub: 38.0ms (11.3% of total)ival-true: 7.0ms (2.1% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) | n/o | 1 | 0 |
| ↳ | (*.f64 t #s(literal 2 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 512× | 0 | valid |
Compiled 67 to 31 computations (53.7% saved)
ival-mult: 29.0ms (74.8% of total)ival-div: 4.0ms (10.3% of total)ival-sub: 3.0ms (7.7% of total)ival-add: 3.0ms (7.7% 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 |
| 2 832× | lower-fma.f64 |
| 2 832× | lower-fma.f32 |
| 1 518× | sub-neg |
| 1 490× | div-sub |
| 1 298× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 141 |
| 1 | 170 | 126 |
| 2 | 511 | 126 |
| 3 | 1660 | 126 |
| 4 | 5370 | 126 |
| 5 | 7727 | 126 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 48 | 9 |
| 3 | 83 | 9 |
| 4 | 166 | 9 |
| 5 | 301 | 9 |
| 6 | 587 | 9 |
| 7 | 1372 | 9 |
| 8 | 2733 | 9 |
| 9 | 4698 | 9 |
| 10 | 5064 | 9 |
| 11 | 5108 | 9 |
| 12 | 5116 | 9 |
| 13 | 5116 | 9 |
| 14 | 5508 | 9 |
| 15 | 5676 | 9 |
| 16 | 5676 | 9 |
| 17 | 5676 | 9 |
| 0 | 5676 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(negabs t)
(sort x y)
Compiled 13 to 9 computations (30.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 2 832× | lower-fma.f64 |
| 2 832× | lower-fma.f32 |
| 1 490× | div-sub |
| 1 104× | lower-*.f32 |
| 1 102× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 48 | 25 |
| 3 | 83 | 25 |
| 4 | 166 | 25 |
| 5 | 301 | 25 |
| 6 | 587 | 25 |
| 7 | 1372 | 25 |
| 8 | 2733 | 25 |
| 9 | 4698 | 25 |
| 10 | 5064 | 25 |
| 11 | 5108 | 25 |
| 12 | 5116 | 25 |
| 13 | 5116 | 25 |
| 14 | 5508 | 25 |
| 15 | 5676 | 25 |
| 16 | 5676 | 25 |
| 17 | 5676 | 25 |
| 0 | 5676 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (+.f64 y (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 y (-.f64 x z)) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (+.f64 x y) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.2460571691341661 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 18.0ms | 256× | 0 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 2.0ms (31.8% of total)ival-add: 2.0ms (31.8% of total)ival-mult: 2.0ms (31.8% of total)ival-sub: 1.0ms (15.9% 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 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- x z) t)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | z | @ | inf | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | y | @ | 0 | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | x | @ | inf | (/ (- (+ x y) z) (* t 2)) |
| 1.0ms | t | @ | 0 | (/ (- (+ x y) z) (* t 2)) |
| 1× | egg-herbie |
| 7 612× | lower-fma.f64 |
| 7 612× | lower-fma.f32 |
| 3 776× | lower-*.f64 |
| 3 776× | lower-*.f32 |
| 2 500× | lower--.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 728 |
| 1 | 314 | 728 |
| 2 | 876 | 728 |
| 3 | 2929 | 650 |
| 4 | 7509 | 650 |
| 0 | 8709 | 650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- x z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(- x z) |
(-.f64 x z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
| 5 046× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 4 338× | lower-/.f32 |
| 4 336× | lower-/.f64 |
| 3 708× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(+.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 #s(literal 2 binary64) (+.f64 x (-.f64 y z))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (-.f64 y z)) t))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (-.f64 y z)) t))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z))))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 z (+.f64 x (+.f64 y z)))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z))))) (/.f64 (*.f64 z z) (*.f64 t (*.f64 #s(literal 2 binary64) (+.f64 x (+.f64 y z)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (/.f64 (*.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))))) (/.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t)))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z)))) (/.f64 (/.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (+.f64 y z))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) t) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 t (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 t (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 t (*.f64 #s(literal 2 binary64) (-.f64 x y)))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) |
(neg.f64 (*.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64))) |
(*.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
Compiled 15 767 to 1 470 computations (90.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 7 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 609 | 7 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| 68.0% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 75.8% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| ▶ | 32.6% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
| ▶ | 37.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ▶ | 42.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
Compiled 158 to 108 computations (31.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 x (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| 2 976× | lower-fma.f64 |
| 2 976× | lower-fma.f32 |
| 1 272× | div-sub |
| 1 248× | lower-*.f32 |
| 1 238× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 135 |
| 0 | 41 | 135 |
| 1 | 73 | 135 |
| 2 | 139 | 135 |
| 3 | 249 | 135 |
| 4 | 410 | 135 |
| 5 | 709 | 135 |
| 6 | 1510 | 135 |
| 7 | 3037 | 135 |
| 8 | 4515 | 135 |
| 9 | 5253 | 135 |
| 10 | 5718 | 135 |
| 11 | 5810 | 135 |
| 12 | 5898 | 135 |
| 13 | 5922 | 135 |
| 14 | 6098 | 135 |
| 15 | 6256 | 135 |
| 16 | 6280 | 135 |
| 17 | 6280 | 135 |
| 18 | 6280 | 135 |
| 0 | 6280 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
y |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
y |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 y (*.f64 t #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(/.f64 y (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 z (*.f64 t #s(literal -2 binary64)))) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(/.f64 z (*.f64 t #s(literal -2 binary64))) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
#s(approx (- (+ x y) z) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.2460571691341661 | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 17.23247326141277 | #s(approx (- (+ x y) z) (+.f64 y x)) | |
| accuracy | 0 | (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) | |
| accuracy | 0 | (*.f64 z #s(literal -1/2 binary64)) | |
| accuracy | 43.14343117402016 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 39.7620249563805 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 37.05459876421162 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (+.f64 x (-.f64 y z)) | |
| accuracy | 0.21322250976844204 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
| 66.0ms | 256× | 0 | valid |
Compiled 111 to 24 computations (78.4% saved)
ival-div: 9.0ms (41.4% of total)ival-mult: 7.0ms (32.2% of total)ival-add: 3.0ms (13.8% of total)ival-sub: 2.0ms (9.2% 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 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) (patch (/.f64 (*.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal -1/2 binary64)) (patch (*.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | z | @ | -inf | (* z -1/2) |
| 2.0ms | t | @ | 0 | (/ 1/2 t) |
| 1.0ms | x | @ | 0 | (/ (* 1/2 x) t) |
| 0.0ms | t | @ | 0 | (/ (* 1/2 y) t) |
| 0.0ms | t | @ | 0 | (/ (* z -1/2) t) |
| 1× | egg-herbie |
| 7 812× | lower-fma.f64 |
| 7 812× | lower-fma.f32 |
| 3 662× | lower-*.f64 |
| 3 662× | lower-*.f32 |
| 2 306× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 2977 |
| 1 | 356 | 2977 |
| 2 | 986 | 2977 |
| 3 | 3158 | 2977 |
| 4 | 7310 | 2977 |
| 0 | 8450 | 2977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
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(* 1/2 (/ x t)) |
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(* 1/2 (/ x t)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
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(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
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(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
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(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
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(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
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(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
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(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
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(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
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(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
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(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- x z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 y z))) t) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 x (-.f64 y z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 x (-.f64 y z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 x (-.f64 y z)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 x (-.f64 y z)) |
(- x z) |
(-.f64 x z) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
(- (+ x y) z) |
(+.f64 x (-.f64 y z)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 x (-.f64 y z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 x (-.f64 y z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 x (-.f64 y z)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 x (-.f64 y z)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (* -1 z))) |
(+.f64 x (-.f64 y z)) |
(+ x (+ y (* -1 z))) |
(+.f64 x (-.f64 y z)) |
(+ x (+ y (* -1 z))) |
(+.f64 x (-.f64 y z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 x (-.f64 y z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 x (-.f64 y z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 x (-.f64 y z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 x (-.f64 y z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 x (-.f64 y z)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
| 4 922× | lower-/.f32 |
| 4 912× | lower-/.f64 |
| 4 662× | lower-*.f32 |
| 4 652× | lower-*.f64 |
| 2 980× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 117 |
| 0 | 41 | 117 |
| 1 | 160 | 117 |
| 2 | 1346 | 117 |
| 0 | 8227 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) t) |
(+.f64 x (-.f64 y z)) |
(-.f64 y z) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(*.f64 z #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(+.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(+.f64 (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(+.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 y (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 z x) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 z (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 y z))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 x (-.f64 y z))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x (+.f64 y z))) (*.f64 t #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t #s(literal -2 binary64))) (/.f64 (+.f64 x (-.f64 y z)) (*.f64 t #s(literal -2 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 z (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 z (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x y) (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 x (-.f64 y z)))) (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 x (-.f64 y z))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x (+.f64 y z)))) (/.f64 (*.f64 z z) (*.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 x (+.f64 y z))))) |
(-.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 t #s(literal 2 binary64)) z) (*.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))) (fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64))))) (fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (fma.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 x (*.f64 t #s(literal 2 binary64)))) (/.f64 (-.f64 x (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) (/.f64 (-.f64 x (-.f64 y z)) (*.f64 t #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64)))) (fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 z (*.f64 t #s(literal 2 binary64))) (/.f64 z (*.f64 t #s(literal 2 binary64)))) (fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 z (*.f64 t #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 y z)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) x) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y z) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) t) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 t)) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) t)) |
(fma.f64 (*.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) t) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) t) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) t) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t))) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) t) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(-.f64 #s(literal 0 binary64) (/.f64 t #s(literal -1/2 binary64))) |
(/.f64 t #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 t) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) t))) |
(/.f64 (neg.f64 (neg.f64 t)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
Compiled 33 013 to 3 099 computations (90.6% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 513 | 2 | 1 515 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 514 | 8 | 1 522 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 68.0% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 75.8% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 75.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
| ✓ | 32.6% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
| ✓ | 37.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ✓ | 42.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
| ▶ | 42.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
Compiled 88 to 60 computations (31.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (+.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| 3 264× | lower-fma.f64 |
| 3 264× | lower-fma.f32 |
| 1 620× | div-sub |
| 1 536× | lower-*.f32 |
| 1 530× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 122 |
| 0 | 32 | 122 |
| 1 | 54 | 122 |
| 2 | 88 | 122 |
| 3 | 123 | 122 |
| 4 | 210 | 122 |
| 5 | 358 | 122 |
| 6 | 652 | 122 |
| 7 | 1409 | 122 |
| 8 | 2886 | 122 |
| 9 | 4691 | 122 |
| 10 | 5107 | 122 |
| 11 | 5424 | 122 |
| 12 | 5636 | 122 |
| 13 | 5714 | 122 |
| 14 | 6193 | 122 |
| 15 | 6399 | 122 |
| 16 | 6399 | 122 |
| 17 | 6407 | 122 |
| 18 | 6407 | 122 |
| 19 | 6407 | 122 |
| 20 | 6495 | 122 |
| 21 | 6683 | 122 |
| 22 | 6740 | 122 |
| 23 | 6740 | 122 |
| 0 | 6740 | 122 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.2460571691341661 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 24.703571350381786 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.2460571691341661 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 21.539736301527647 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.21322250976844204 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) | |
| accuracy | 17.23247326141277 | #s(approx (- (+ x y) z) (+.f64 x y)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) | |
| accuracy | 37.05459876421162 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 94 to 17 computations (81.9% saved)
ival-mult: 4.0ms (30.8% of total)ival-div: 3.0ms (23.1% of total)ival-sub: 3.0ms (23.1% of total)ival-add: 2.0ms (15.4% 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 #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) z) (+.f64 x y)) (patch #s(approx (- (+ x y) z) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- x z) t)) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x y) z) (-.f64 y z)) (patch #s(approx (- (+ x y) z) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (/ (- (+ x y) z) (* t 2)) |
| 0.0ms | x | @ | inf | (- x z) |
| 0.0ms | z | @ | inf | (- x z) |
| 0.0ms | z | @ | -inf | (- x z) |
| 0.0ms | x | @ | 0 | (- x z) |
| 1× | egg-herbie |
| 7 416× | lower-fma.f64 |
| 7 416× | lower-fma.f32 |
| 3 646× | lower-*.f64 |
| 3 646× | lower-*.f32 |
| 2 246× | lower--.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 2754 |
| 1 | 395 | 2754 |
| 2 | 1125 | 2754 |
| 3 | 3428 | 2442 |
| 4 | 6911 | 2442 |
| 0 | 8018 | 2442 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
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(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
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(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
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(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(/ 1/2 t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
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(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1/2 (/ z t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
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(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
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(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* 1/2 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
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(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
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(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
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(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- x z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ 1/2 t) |
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(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 2 t) |
(*.f64 t #s(literal 2 binary64)) |
(* 1/2 (/ (- y z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ x t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) t) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- x z) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) t) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ y t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (+ x y) t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1/2 (/ z t)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) t) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (-.f64 x z)) t)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(+.f64 y (-.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+.f64 y (-.f64 x z)) |
(- x z) |
(-.f64 x z) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
(- (+ x y) z) |
(+.f64 y (-.f64 x z)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(+.f64 y (-.f64 x z)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+.f64 y (-.f64 x z)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(+ x (+ y (* -1 z))) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
| 5 256× | lower-fma.f64 |
| 5 256× | lower-fma.f32 |
| 5 124× | lower-*.f32 |
| 5 118× | lower-*.f64 |
| 4 828× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 101 |
| 0 | 32 | 101 |
| 1 | 121 | 101 |
| 2 | 826 | 101 |
| 0 | 8438 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(/.f64 #s(literal 1/2 binary64) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
#s(approx (- (+ x y) z) (+.f64 x y)) |
(+.f64 x y) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) x)) |
(neg.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) t))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 t))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) t)) |
(/.f64 x (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 t)) |
(/.f64 (neg.f64 x) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (/.f64 x t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) t) |
(/.f64 (/.f64 x #s(literal 2 binary64)) t) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) t) |
(pow.f64 (/.f64 t (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x t)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 x (neg.f64 t)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 t)) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)) |
(pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(neg.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (/.f64 #s(literal -1/2 binary64) t))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) (neg.f64 t))) |
(neg.f64 (/.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 2 binary64)) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) #s(approx (- (+ x y) z) (+.f64 x y))))) |
(/.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y))) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1/2 binary64))) t) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal 2 binary64)) t) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) (*.f64 t #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) t) |
(pow.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t)) |
(*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64)))) |
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(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))))) |
(neg.f64 (+.f64 z (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (fma.f64 z (+.f64 y z) (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)))) |
(/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (+.f64 y z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (+.f64 z (neg.f64 y))) (neg.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (+.f64 z (neg.f64 y))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y))))) |
(/.f64 (fma.f64 y (neg.f64 y) (*.f64 z z)) (neg.f64 (+.f64 y z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y z)) (*.f64 (+.f64 y z) (*.f64 z z))) (*.f64 (+.f64 y z) (+.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (+.f64 z (neg.f64 y)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 y z) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 y (neg.f64 y) (*.f64 z z))) (neg.f64 (neg.f64 (+.f64 y z)))) |
(/.f64 (fma.f64 z (neg.f64 (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (+.f64 y z) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 y z) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) #s(literal 1 binary64)) (fma.f64 z (+.f64 y z) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (-.f64 y z) (+.f64 y z)) #s(literal 1 binary64)) (+.f64 y z)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (*.f64 y y)))) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (-.f64 y z) (+.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (fma.f64 y y (*.f64 z z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (*.f64 y y)))) |
(*.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y))))) |
(*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z))) |
(*.f64 (+.f64 y z) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) |
(*.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (+.f64 z (neg.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 y z) (*.f64 y y))))) |
(*.f64 (fma.f64 y (neg.f64 y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y z) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 (-.f64 y z) (+.f64 y z))) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 z (*.f64 (+.f64 y z) (*.f64 z (+.f64 y z))))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 y z)) (*.f64 (fma.f64 z (+.f64 y z) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 y y (*.f64 z (-.f64 z y)))) |
Compiled 11 433 to 1 106 computations (90.3% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 859 | 0 | 859 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 859 | 8 | 867 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 68.0% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 75.8% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 75.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
| ✓ | 32.6% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
| ✓ | 37.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ✓ | 42.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
| ✓ | 42.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
Compiled 166 to 88 computations (47% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
8 calls:
| 83.0ms | z |
| 37.0ms | (*.f64 t #s(literal 2 binary64)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 99.7% | 1 | (-.f64 (+.f64 x y) z) |
| 99.7% | 1 | (+.f64 x y) |
| 99.7% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 22.0ms | z |
| 10.0ms | x |
| 4.0ms | (*.f64 t #s(literal 2 binary64)) |
| 4.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | x |
| 90.3% | 2 | y |
| 98.4% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 98.6% | 2 | (+.f64 x y) |
| 91.8% | 3 | z |
| 75.8% | 1 | t |
| 98.4% | 2 | (-.f64 (+.f64 x y) z) |
| 75.8% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
6 calls:
| 13.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 x y) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | z |
| 89.7% | 2 | y |
| 80.7% | 2 | x |
| 86.5% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 86.4% | 2 | (-.f64 (+.f64 x y) z) |
| 89.8% | 2 | (+.f64 x y) |
Compiled 44 to 32 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
5 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 x y) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | (-.f64 (+.f64 x y) z) |
| 75.8% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 75.8% | 1 | y |
| 81.6% | 3 | (+.f64 x y) |
| 86.4% | 3 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
1 calls:
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
3 calls:
| 3.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | (+.f64 x y) |
| 70.6% | 3 | x |
| 65.9% | 6 | z |
Compiled 17 to 13 computations (23.5% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
6 calls:
| 3.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | t |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.9% | 3 | t |
| 45.9% | 3 | (*.f64 t #s(literal 2 binary64)) |
| 74.9% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 74.9% | 2 | (-.f64 (+.f64 x y) z) |
| 66.9% | 2 | y |
| 74.7% | 2 | (+.f64 x y) |
Compiled 46 to 34 computations (26.1% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
8 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | t |
| 42.1% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 42.1% | 1 | z |
| 42.1% | 1 | y |
| 42.1% | 1 | x |
| 42.1% | 1 | (+.f64 x y) |
| 42.1% | 1 | (-.f64 (+.f64 x y) z) |
| 42.1% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 56 to 42 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
8 calls:
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.0% | 1 | x |
| 42.0% | 1 | z |
| 42.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 42.0% | 1 | y |
| 42.0% | 1 | (+.f64 x y) |
| 42.0% | 1 | t |
| 42.0% | 1 | (-.f64 (+.f64 x y) z) |
| 42.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 56 to 42 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.525461086678058e-236 | 3.7790497954951735e-252 |
Compiled 16 to 16 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6.03731220011502e+87 | 3.943950131217744e+91 |
| 14.0ms | -5.6743587762923525e+106 | -1.217829448355484e+97 |
| 15.0ms | 288× | 0 | valid |
Compiled 484 to 340 computations (29.8% saved)
ival-div: 2.0ms (28.1% of total)ival-add: 2.0ms (28.1% of total)ival-mult: 2.0ms (28.1% of total)ival-sub: 1.0ms (14% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 9.897682271468838e+144 | 9.942291002780161e+151 |
| 10.0ms | -6.761709521065424e+109 | -1.2972209743645859e+109 |
| 14.0ms | 240× | 0 | valid |
Compiled 376 to 271 computations (27.9% saved)
ival-add: 3.0ms (38.9% of total)ival-div: 2.0ms (25.9% of total)ival-sub: 1.0ms (13% of total)ival-mult: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.897682271468838e+144 | 9.942291002780161e+151 |
| 1.0ms | -6.761709521065424e+109 | -1.2972209743645859e+109 |
Compiled 376 to 271 computations (27.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.106128495784124e-26 | 1.5873931633505806e-25 |
| 0.0ms | -7.09261086321365e-7 | -3.7077251105125347e-13 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.196703915356365e-273 |
Compiled 16 to 16 computations (0% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 319 |
| 1 | 79 | 319 |
| 2 | 85 | 319 |
| 3 | 87 | 319 |
| 4 | 88 | 319 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(if (<=.f64 (+.f64 x y) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 z #s(literal -55000000000000000105362129715406780491877531999585560613404193302965862831219381577867987980949917794304 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))))) |
(if (<=.f64 z #s(literal -67000000000000003581635469625260343073051546802766192269739629840336843612584343417417720146044632834102001664 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 z #s(literal 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))) |
(if (<=.f64 z #s(literal -67000000000000003581635469625260343073051546802766192269739629840336843612584343417417720146044632834102001664 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 z #s(literal 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x (-.f64 y z))) |
(if (<=.f64 (+.f64 x y) #s(literal -357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 z #s(literal -55000000000000000105362129715406780491877531999585560613404193302965862831219381577867987980949917794304 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))))) |
(if (<=.f64 z #s(literal -55000000000000000105362129715406780491877531999585560613404193302965862831219381577867987980949917794304 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))))) |
(if (<=.f64 z #s(literal -67000000000000003581635469625260343073051546802766192269739629840336843612584343417417720146044632834102001664 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 z #s(literal 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))) |
(if (<=.f64 z #s(literal -67000000000000003581635469625260343073051546802766192269739629840336843612584343417417720146044632834102001664 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 z #s(literal 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))) |
(if (<=.f64 z #s(literal -67000000000000003581635469625260343073051546802766192269739629840336843612584343417417720146044632834102001664 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 z #s(literal 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| 7 612× | lower-fma.f64 |
| 7 612× | lower-fma.f32 |
| 5 046× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 4 922× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 0 | 28 | 117 |
| 0 | 41 | 117 |
| 1 | 160 | 117 |
| 2 | 1346 | 117 |
| 0 | 8227 | 117 |
| 0 | 103 | 728 |
| 1 | 314 | 728 |
| 2 | 876 | 728 |
| 3 | 2929 | 650 |
| 4 | 7509 | 650 |
| 0 | 8709 | 650 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 397 to 197 computations (50.4% saved)
(sort x y)
(negabs t)
Compiled 456 to 160 computations (64.9% saved)
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