
Time bar (total: 7.8s)
| 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)
| 566.0ms | 8 256× | 0 | valid |
ival-add: 103.0ms (33.4% of total)ival-sub: 71.0ms (23% of total)ival-mult: 63.0ms (20.4% of total)ival-div: 59.0ms (19.1% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 63 to 31 computations (50.8% saved)
ival-div: 10.0ms (52.2% of total)ival-add: 3.0ms (15.7% of total)ival-mult: 3.0ms (15.7% of total)ival-sub: 2.0ms (10.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(negabs t)
(sort x y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 9 to 9 computations (0% 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(-.f64 (+.f64 x y) z) |
(-.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x y) z) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 37.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 5.0ms (50.5% of total)ival-mult: 2.0ms (20.2% of total)ival-add: 1.0ms (10.1% of total)ival-sub: 1.0ms (10.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.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 (/ (- (+ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (+ 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 (* -1/2 (/ 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 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 (* -1/2 (/ 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 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 (* 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 (- 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 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 (* 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 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 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 (* 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 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 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 (* 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 (- 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 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 (* 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 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 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 (* 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 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 (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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | z | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 650 |
| 1 | 314 | 650 |
| 2 | 876 | 650 |
| 3 | 2929 | 650 |
| 4 | 7535 | 650 |
| 0 | 8737 | 650 |
| 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 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))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 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)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 y x) z) |
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) |
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 y x) z) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 y x) z) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 y x) z) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
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) |
| 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 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (hypot.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 z (+.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 y x) z) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 y x))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))) (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 z (+.f64 y x)) t) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 (+.f64 y x) t) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (*.f64 (*.f64 (+.f64 z (+.f64 y x)) t) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t))) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 z (+.f64 y x)) t) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t))) |
(*.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) (/.f64 (-.f64 (+.f64 y x) z) (*.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (-.f64 z (+.f64 y x)) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (+.f64 y x) z) (/.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (+.f64 y x) t) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) (+.f64 z (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) |
(/.f64 (/.f64 (-.f64 z (+.f64 y x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (/.f64 (-.f64 z (+.f64 y x)) #s(literal 2 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 (-.f64 z (+.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 y x) z)) t) |
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(fma.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 z)) |
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 z)) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))))) |
(fma.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)) x) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 z)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 z)) |
(fma.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 z)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 y z) (*.f64 z y))) x) |
(fma.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (neg.f64 z)) |
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (+.f64 y x)) |
(fma.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (neg.f64 z)) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (+.f64 y x)))))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))))) |
(fma.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (*.f64 (+.f64 y x) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))) (neg.f64 z)) |
(fma.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (+.f64 y x)) |
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 z (+.f64 y x))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (+.f64 y x)))))) |
(fma.f64 (+.f64 y x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))))) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 z)) |
(-.f64 (+.f64 (neg.f64 z) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 (+.f64 (+.f64 y x) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 x (-.f64 y z)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 (*.f64 y (/.f64 y (-.f64 x y))) (neg.f64 z))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 z (+.f64 y x))) (*.f64 z (/.f64 z (+.f64 z (+.f64 y x))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (+.f64 y x))) |
(-.f64 (+.f64 y x) z) |
(-.f64 y (-.f64 z x)) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) y z))) |
(+.f64 (-.f64 x z) y) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 z (+.f64 y x))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (+.f64 y x)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 y x) (hypot.f64 z (+.f64 y x)))))) |
(+.f64 (-.f64 y z) x) |
(+.f64 (neg.f64 z) (+.f64 y x)) |
(+.f64 (+.f64 y x) (neg.f64 z)) |
(+.f64 y (-.f64 x z)) |
(+.f64 x (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (*.f64 (+.f64 y x) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (hypot.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (-.f64 (hypot.f64 y x) (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (hypot.f64 y x) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (hypot.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
Compiled 12 793 to 1 491 computations (88.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 604 | 11 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 605 | 11 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) | |
| ▶ | 100.0% | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 74.2% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| 64.4% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 67.9% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| 38.1% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) | |
| 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) | |
| ▶ | 41.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| 31.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) | |
| ▶ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
Compiled 176 to 196 computations (-11.4% saved)
| 1× | egg-herbie |
Found 18 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 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 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (-.f64 y (-.f64 z x)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| 3 120× | lower-fma.f64 |
| 3 120× | lower-fma.f32 |
| 1 392× | lower-*.f32 |
| 1 386× | lower-*.f64 |
| 1 122× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 141 |
| 0 | 39 | 141 |
| 1 | 70 | 141 |
| 2 | 130 | 141 |
| 3 | 221 | 141 |
| 4 | 497 | 141 |
| 5 | 1176 | 141 |
| 6 | 2290 | 141 |
| 7 | 3606 | 141 |
| 8 | 4695 | 141 |
| 9 | 5070 | 141 |
| 10 | 5118 | 141 |
| 11 | 5154 | 141 |
| 12 | 5178 | 141 |
| 13 | 5186 | 141 |
| 14 | 5186 | 141 |
| 15 | 5258 | 141 |
| 16 | 5426 | 141 |
| 17 | 5475 | 141 |
| 18 | 5475 | 141 |
| 0 | 5475 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(-.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
x |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
y |
(/.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) |
(/.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 |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(-.f64 y (-.f64 z x)) |
(-.f64 (+.f64 x y) z) |
y |
(-.f64 z x) |
z |
x |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 y (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 y (*.f64 #s(literal 2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
y |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
#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)) |
(*.f64 #s(literal 2 binary64) t) |
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) #s(approx (- (+ x y) z) (-.f64 y z))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 17.298433104287007 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 22.560027111091483 | #s(approx (- (+ x y) z) (+.f64 y x)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) | |
| accuracy | 37.43260069056361 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 39.61559879533669 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 y (-.f64 z x)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| 37.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 115 to 22 computations (80.9% saved)
ival-div: 7.0ms (37.2% of total)ival-mult: 5.0ms (26.6% of total)ival-sub: 5.0ms (26.6% of total)ival-add: 2.0ms (10.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (-.f64 y (-.f64 z x)) (patch (-.f64 y (-.f64 z x)) #<representation:binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation:binary64>) () ()) |
#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<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 #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 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.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 0 t) (#s(alt (*.f64 t #s(literal 2 binary64)) (patch (*.f64 t #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 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 0 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 0 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 0 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 0 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 0 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 0 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 0 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 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 y (-.f64 z x)) (*.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>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z 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) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<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) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<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) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<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) z)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<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) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<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) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<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) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<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) y)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 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 (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (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 (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (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 (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (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 (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | t | @ | 0 | ((/ (- y (- z x)) (* t 2)) (- y (- z x)) (- z x) (* t 2) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z)) |
| 7.0ms | t | @ | -inf | ((/ (- y (- z x)) (* t 2)) (- y (- z x)) (- z x) (* t 2) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z)) |
| 2.0ms | t | @ | inf | ((/ (- y (- z x)) (* t 2)) (- y (- z x)) (- z x) (* t 2) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z)) |
| 1.0ms | z | @ | inf | ((/ (- y (- z x)) (* t 2)) (- y (- z x)) (- z x) (* t 2) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z)) |
| 1.0ms | z | @ | -inf | ((/ (- y (- z x)) (* t 2)) (- y (- z x)) (- z x) (* t 2) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z)) |
| 1× | egg-herbie |
| 8 014× | lower-fma.f64 |
| 8 014× | lower-fma.f32 |
| 4 220× | lower-*.f64 |
| 4 220× | lower-*.f32 |
| 2 050× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3000 |
| 1 | 400 | 3000 |
| 2 | 1121 | 3000 |
| 3 | 3458 | 3000 |
| 4 | 7051 | 3000 |
| 0 | 8024 | 3000 |
| 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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) 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(* 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)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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)) (* 1/2 (/ (+ x y) 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -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)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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)) |
(* 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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z 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 (/ 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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 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))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* 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 (/ (- 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)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 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))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* 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)) |
(* 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)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* 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 (/ 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 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z 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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 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 (/ (- 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 (/ (- 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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(+ x y) |
(+ x y) |
(+ x 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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* 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)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* 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)) |
(* 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)) |
(* 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)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 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)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* 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 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 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
| Outputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/ -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 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(/ 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 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/ -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 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(/ 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 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
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(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
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) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
| 5 274× | lower-/.f32 |
| 5 264× | lower-/.f64 |
| 4 004× | lower-*.f32 |
| 3 998× | lower-*.f64 |
| 3 490× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 116 |
| 0 | 39 | 116 |
| 1 | 164 | 116 |
| 2 | 1302 | 116 |
| 0 | 8232 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(-.f64 y (-.f64 z x)) |
(-.f64 z x) |
(*.f64 t #s(literal 2 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #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) |
(/.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 |
|---|
(*.f64 (/.f64 (-.f64 (+.f64 z y) x) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 z y) x))) |
(*.f64 (/.f64 (+.f64 (+.f64 x y) z) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 x y) z))) |
(*.f64 (/.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)))) |
(*.f64 (/.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 z y) x) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (-.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) t) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) t) (/.f64 (pow.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 x y) z) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 z y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (-.f64 (+.f64 z y) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) t))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 #s(literal 2 binary64) t))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 z x) t) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x y) z) t)) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 x y) z))) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x y) z) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 z y) x) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) t)) (*.f64 (*.f64 #s(literal 2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 y (*.f64 #s(literal 2 binary64) t)) (*.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (+.f64 z y) x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 (+.f64 x y) z)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 x y) z)) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) (neg.f64 t))) |
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) (neg.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (+.f64 (+.f64 x y) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (+.f64 (hypot.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (-.f64 (+.f64 z y) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (+.f64 (hypot.f64 y (-.f64 z x)) (*.f64 (-.f64 z x) y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y t) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 #s(literal 2 binary64) t))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 z x) t) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) t)) (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x y) z) t))) #s(literal 2 binary64)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) #s(literal -1 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(*.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 z)) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (hypot.f64 y z) (*.f64 z y))) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(-.f64 y z) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 20 293 to 2 495 computations (87.7% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 299 | 2 | 1 301 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 301 | 11 | 1 312 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) | |
| ✓ | 100.0% | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 74.2% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 64.4% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.9% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
| 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) | |
| ▶ | 41.5% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ▶ | 38.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 41.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ▶ | 31.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
Compiled 143 to 159 computations (-11.2% 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 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 #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) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| 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)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) z) | |
| cost-diff | 0 | (/.f64 t (-.f64 (+.f64 y x) z)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
| 3 008× | lower-fma.f64 |
| 3 008× | lower-fma.f32 |
| 1 574× | div-sub |
| 1 288× | lower-*.f32 |
| 1 280× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 139 |
| 0 | 41 | 139 |
| 1 | 70 | 139 |
| 2 | 121 | 139 |
| 3 | 215 | 139 |
| 4 | 371 | 139 |
| 5 | 631 | 139 |
| 6 | 1198 | 139 |
| 7 | 2497 | 139 |
| 8 | 4234 | 139 |
| 9 | 5826 | 139 |
| 10 | 7367 | 139 |
| 11 | 7474 | 139 |
| 12 | 7514 | 139 |
| 13 | 7540 | 139 |
| 14 | 7820 | 139 |
| 15 | 7978 | 139 |
| 0 | 8006 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
#s(literal 1/2 binary64) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
t |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#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 |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
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 |
(/.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) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(*.f64 (-.f64 (-.f64 z y) x) (/.f64 #s(literal -1/2 binary64) t)) |
#s(literal 1/2 binary64) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/.f64 t (-.f64 (+.f64 x y) z)) |
t |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 x y) z) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
#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 |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
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) t) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
y |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 24.14315735224358 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) y) t) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 37.43260069056361 | #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) z) t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 39.61559879533669 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) | |
| accuracy | 43.979594936029606 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 y x) z) | |
| accuracy | 0.03515625 | (/.f64 t (-.f64 (+.f64 y x) z)) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
| 43.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 115 to 24 computations (79.1% saved)
ival-div: 10.0ms (35.2% of total)ival-sub: 10.0ms (35.2% of total)ival-mult: 6.0ms (21.1% of total)ival-add: 3.0ms (10.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation:binary64>) () ()) |
#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation:binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ()) |
#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 #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) z) (patch (*.f64 #s(literal -1/2 binary64) z) #<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 (/.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>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) #<representation:binary64>) () ())) ()) |
#s(alt (/ t (- (+ x y) z)) (taylor 0 t) (#s(alt (/.f64 t (-.f64 (+.f64 y x) z)) (patch (/.f64 t (-.f64 (+.f64 y x) z)) #<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>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y 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 t)) (taylor -inf x) (#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 (* 1/2 (/ x t)) (taylor -inf x) (#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 (* 1/2 (/ x t)) (taylor -inf x) (#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 (* 1/2 (/ x t)) (taylor -inf x) (#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 (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<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) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<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) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<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) z) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<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) y) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) #<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) y) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) #<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) y) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) #<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) y) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (-.f64 x z)) (patch #s(approx (- (+ x y) z) (-.f64 x z)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | t | @ | 0 | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* 1/2 y) t) (* 1/2 y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 4.0ms | z | @ | inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* 1/2 y) t) (* 1/2 y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | t | @ | inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* 1/2 y) t) (* 1/2 y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | t | @ | -inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* 1/2 y) t) (* 1/2 y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 1.0ms | y | @ | inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* 1/2 y) t) (* 1/2 y) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 1× | egg-herbie |
| 11 894× | lower-fma.f64 |
| 11 894× | lower-fma.f32 |
| 6 052× | lower-*.f64 |
| 6 052× | lower-*.f32 |
| 3 374× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 4769 |
| 1 | 950 | 4713 |
| 2 | 2784 | 4606 |
| 0 | 8084 | 4481 |
| 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(* 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 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ 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 t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(* 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 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ 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 t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(* 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 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 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ z t)) |
(* -1/2 (/ 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 t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y t)) |
(* 1/2 (/ y 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)) |
(* 2 t) |
(* 2 t) |
(* 2 t) |
(* 2 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))) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(* 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 (/ (+ 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)) |
(* -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 (/ (+ 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 (/ (+ 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -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 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -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)) |
(* 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)) |
(* -1/2 (/ 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 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)) |
(* 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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -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 (/ t z)) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -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 (/ 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 (/ 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 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 (/ 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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 1/2 (/ (- x z) t)) |
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(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 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 (/ (- 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 (/ (- 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)) |
(* 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 (/ (- 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))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* 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)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 1/2 (/ 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 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* 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))))) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 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 (/ 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 (/ 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 (/ 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 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) 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))) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(+ x y) |
(+ x y) |
(+ x 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)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x 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)) (* 1/2 (/ (- 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 (/ (- 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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
(* 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)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 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)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x 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)) |
(* 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)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
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(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* 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))))) |
(/ t x) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
x |
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(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 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 t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x 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 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 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
| Outputs |
|---|
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/ 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 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
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(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
| 4 588× | lower-fma.f64 |
| 4 588× | lower-fma.f32 |
| 4 350× | lower-*.f32 |
| 4 342× | lower-*.f64 |
| 4 150× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 121 |
| 0 | 41 | 121 |
| 1 | 169 | 121 |
| 2 | 1084 | 121 |
| 0 | 8245 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
#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(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#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) |
(/.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)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 (+.f64 z x) y) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 z x) y))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 z x) y))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (+.f64 (+.f64 z x) y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (+.f64 z x) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) t) (/.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 z x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 (+.f64 z x) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x y) z)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (+.f64 (+.f64 z x) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 (+.f64 z x) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 x y) z) #s(literal -2 binary64))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 z (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))))) |
(*.f64 (/.f64 (-.f64 z (+.f64 x y)) t) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (+.f64 (+.f64 z x) y)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (+.f64 z x) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y)))))) |
(*.f64 (fma.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 z x) y) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 (+.f64 z x) y)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y))) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 z (+.f64 x y) (hypot.f64 z (+.f64 x y)))))) |
(*.f64 (-.f64 z (+.f64 x y)) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 x y)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (*.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (neg.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))))) |
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(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z x (hypot.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) (*.f64 (fma.f64 z x (hypot.f64 z x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z x (hypot.f64 z x)) (fma.f64 z x (hypot.f64 z x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 x z) (*.f64 x (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z x (hypot.f64 z x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 x z) (*.f64 x (neg.f64 z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (hypot.f64 x z) (*.f64 x (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z x (hypot.f64 z x))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) x z)) |
(fma.f64 #s(literal -1 binary64) z x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 z)) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z x (hypot.f64 z x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 z)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z x)) |
(-.f64 x z) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))))) |
(+.f64 (neg.f64 z) x) |
(+.f64 x (neg.f64 z)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(/.f64 t #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
Compiled 20 758 to 2 735 computations (86.8% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 318 | 4 | 1 322 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 322 | 11 | 1 333 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 74.2% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.9% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 67.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
| ▶ | 64.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| ▶ | 31.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
| ✓ | 41.5% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ✓ | 38.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 41.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ✓ | 31.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| ▶ | 96.8% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
Compiled 83 to 96 computations (-15.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (- (+ y x) z) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| 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 z))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) t) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) |
| 3 808× | lower-fma.f64 |
| 3 808× | lower-fma.f32 |
| 1 760× | div-sub |
| 1 552× | lower-*.f32 |
| 1 546× | lower-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 155 |
| 0 | 42 | 155 |
| 1 | 68 | 155 |
| 2 | 112 | 155 |
| 3 | 174 | 155 |
| 4 | 352 | 149 |
| 5 | 643 | 149 |
| 6 | 1236 | 149 |
| 7 | 3081 | 149 |
| 8 | 5219 | 149 |
| 9 | 5957 | 149 |
| 10 | 6095 | 149 |
| 11 | 6153 | 149 |
| 12 | 6185 | 149 |
| 13 | 6224 | 149 |
| 14 | 6863 | 149 |
| 15 | 7409 | 149 |
| 16 | 7846 | 149 |
| 17 | 7884 | 149 |
| 18 | 7924 | 149 |
| 19 | 7934 | 149 |
| 20 | 7948 | 149 |
| 21 | 7950 | 149 |
| 22 | 7954 | 149 |
| 23 | 7966 | 149 |
| 24 | 7966 | 149 |
| 0 | 8006 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
(/.f64 x t) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
t |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
#s(literal 1/2 binary64) |
(/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) |
t |
#s(approx (- (+ y x) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (+.f64 y x) z) (/.f64 #s(literal 1/2 binary64) t))) |
(*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (+.f64 y x) z) (/.f64 #s(literal 1/2 binary64) t)) |
(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
(/.f64 x t) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
t |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
(*.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) t)) |
#s(literal 1/2 binary64) |
(/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) |
(/.f64 t #s(approx (- (+ x y) z) (+.f64 y x))) |
t |
#s(approx (- (+ y x) z) (+.f64 y x)) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.03515625 | (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) | |
| accuracy | 22.560027111091483 | #s(approx (- (+ y x) z) (+.f64 y x)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0.203125 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) | |
| accuracy | 24.14315735224358 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 43.979594936029606 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) | |
| accuracy | 1.871083429151029 | (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) |
| 48.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 119 to 26 computations (78.2% saved)
ival-div: 11.0ms (33.1% of total)ival-add: 11.0ms (33.1% of total)ival-mult: 6.0ms (18.1% of total)ival-sub: 4.0ms (12% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) (patch (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 y z) t) (patch (/.f64 (-.f64 y z) t) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) (patch (/.f64 (*.f64 x #s(literal 1/2 binary64)) t) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<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 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) (patch (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (- (+ y x) z) (+.f64 y x)) (patch #s(approx (- (+ y x) z) (+.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (- (+ x y) z) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) (patch (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) z) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) (patch (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) z) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) (patch (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x y) z) t) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) (patch (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) #<representation:binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (/ (- y z) t) (/ x t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- y z) t) (/ x t)) 1/2) (/ (- y z) t) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (- y z)) |
| 2.0ms | t | @ | 0 | ((+ (/ (- y z) t) (/ x t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- y z) t) (/ x t)) 1/2) (/ (- y z) t) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (- y z)) |
| 2.0ms | t | @ | -inf | ((+ (/ (- y z) t) (/ x t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- y z) t) (/ x t)) 1/2) (/ (- y z) t) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (- y z)) |
| 2.0ms | x | @ | -inf | ((+ (/ (- y z) t) (/ x t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- y z) t) (/ x t)) 1/2) (/ (- y z) t) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (- y z)) |
| 2.0ms | t | @ | inf | ((+ (/ (- y z) t) (/ x t)) (/ (- (+ x y) z) (* t 2)) (* (+ (/ (- y z) t) (/ x t)) 1/2) (/ (- y z) t) (/ (- (+ x y) z) (* t 2)) (/ (* x 1/2) t) (* x 1/2) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (+ y x) (- y z)) |
| 1× | egg-herbie |
| 9 232× | lower-fma.f64 |
| 9 232× | lower-fma.f32 |
| 5 264× | lower-*.f64 |
| 5 264× | lower-*.f32 |
| 3 858× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 5363 |
| 1 | 1166 | 5292 |
| 2 | 3426 | 5054 |
| 0 | 8148 | 4928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (+ x y) z) t) |
(/ (- (+ x y) z) t) |
(/ (- (+ x y) z) t) |
(/ (- (+ 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) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- 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 y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ (- (+ x y) z) t) |
(/ (- (+ x y) z) t) |
(/ (- (+ x y) z) t) |
(/ (- (+ 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) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- 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 y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (- 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 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- y z) t) |
(/ (- 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 y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 1/2 (/ (- (+ x y) z) 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)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(/ t (- (+ x y) z)) |
(+ (/ x t) (/ y t)) |
(+ (* -1 (/ z t)) (+ (/ x t) (/ y t))) |
(+ (* -1 (/ z t)) (+ (/ x t) (/ y t))) |
(+ (* -1 (/ z t)) (+ (/ x t) (/ y 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 (+ (/ x t) (/ y t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t)))) |
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t)))) |
(+ (* -1/2 (/ z t)) (* 1/2 (+ (/ x t) (/ y t)))) |
(/ y t) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y 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 (/ (+ 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))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* 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))) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
(+ x (+ y (* -1 z))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (/ z t)) |
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 t))) |
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 t))) |
(* z (- (+ (/ x (* t z)) (/ y (* t z))) (/ 1 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)) |
(* 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 (/ z t)) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (/ y (* t z)) (/ 1 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)) |
(* 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 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -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 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ z t)) |
(* -1 (* z (+ (* -1 (/ (+ (/ x t) (/ y t)) z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ (+ (/ x t) (/ y t)) z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ (+ (/ x t) (/ y t)) z)) (/ 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 (/ 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 (/ z t)) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 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 (/ 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 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -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 (/ t z)) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -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) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(- (/ x t) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ z 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 (- (/ x t) (/ z t))) |
(+ (* 1/2 (- (/ x t) (/ z t))) (* 1/2 (/ y t))) |
(+ (* 1/2 (- (/ x t) (/ z t))) (* 1/2 (/ y t))) |
(+ (* 1/2 (- (/ x t) (/ z t))) (* 1/2 (/ y t))) |
(* -1 (/ z t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(+ (* -1 (/ z t)) (/ 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)) (* 1/2 (/ (- x z) 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))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* 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))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(- x z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ y t) |
(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y)))) |
(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y)))) |
(* y (- (+ (/ 1 t) (/ x (* t y))) (/ z (* t y)))) |
(* 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)) |
(* 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)))) |
(/ y t) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 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)) |
(* 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)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* 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)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ y t) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (/ 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 (/ y t)) |
(* -1 (* y (- (* -1/2 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (+ (* -1 (/ z t)) (/ x t)) y)) (* 1/2 (/ 1 t))))) |
(/ y t) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z (* t y)) (/ 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 (/ 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))))) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* 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))))) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(- (/ y t) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ z t)) |
(- (+ (/ x t) (/ y t)) (/ 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 (- (/ y t) (/ z t))) |
(+ (* 1/2 (- (/ y t) (/ z t))) (* 1/2 (/ x t))) |
(+ (* 1/2 (- (/ y t) (/ z t))) (* 1/2 (/ x t))) |
(+ (* 1/2 (- (/ y t) (/ 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)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 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))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(- x z) |
(- x 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))) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(- y z) |
(- (+ x y) z) |
(- (+ x y) z) |
(- (+ x y) z) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x t) |
(* x (- (+ (/ 1 t) (/ y (* t x))) (/ z (* t x)))) |
(* x (- (+ (/ 1 t) (/ y (* t x))) (/ z (* t x)))) |
(* x (- (+ (/ 1 t) (/ y (* t x))) (/ z (* t x)))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 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)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* 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)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x t) |
(* -1 (* x (- (* -1 (/ (- (/ y t) (/ z t)) x)) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (- (/ y t) (/ z t)) x)) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (- (/ y t) (/ z t)) x)) (/ 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 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 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 t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 (/ x t)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 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))))) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* 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))))) |
(/ t x) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) 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 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(/ (- (+ x y) z) t) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) 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 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* -1 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(/.f64 (-.f64 (+.f64 y x) z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* -1/2 (/ (+ (* -1 x) (* -1 (- y z))) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) x) t)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 z y) 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) |
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(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) (fma.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64)) (neg.f64 t) t)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 z y) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 z y) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 z y) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x)) |
| 5 382× | lower-*.f32 |
| 5 376× | lower-*.f64 |
| 4 948× | lower-/.f32 |
| 4 936× | lower-/.f64 |
| 3 008× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 136 |
| 0 | 42 | 136 |
| 1 | 189 | 136 |
| 2 | 1522 | 136 |
| 0 | 8136 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 y z) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) t) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
(/.f64 t #s(approx (- (+ y x) z) (+.f64 y x))) |
#s(approx (- (+ y x) z) (+.f64 y x)) |
(+.f64 y x) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (+.f64 x y) z)) (pow.f64 t #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 (-.f64 y z) x) t) (-.f64 (-.f64 y z) x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64)) (pow.f64 (/.f64 x t) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (-.f64 y z) x) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (+.f64 x y) z)) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 t (-.f64 y z)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t x) #s(literal -3/2 binary64))) (pow.f64 (fma.f64 (/.f64 x t) (/.f64 (-.f64 x (-.f64 y z)) t) (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x t (*.f64 t (-.f64 y z))) (pow.f64 t #s(literal -2 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (-.f64 y z) x) t) (-.f64 (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64)) (pow.f64 (/.f64 x t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x t) (/.f64 (-.f64 x (-.f64 y z)) t) (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64))) (hypot.f64 (pow.f64 (/.f64 t (-.f64 y z)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t x) #s(literal -3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 t t) (fma.f64 x t (*.f64 t (-.f64 y z)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x t (*.f64 t (-.f64 y z))) t)) (neg.f64 t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x (-.f64 y z)) t))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64)) (pow.f64 (/.f64 x t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (-.f64 y z) x) t)))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 t (-.f64 y z)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 t x) #s(literal -3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x t) (/.f64 (-.f64 x (-.f64 y z)) t) (pow.f64 (/.f64 (-.f64 y z) t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x t (*.f64 t (-.f64 y z))))) (neg.f64 (neg.f64 (*.f64 t t)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 t (-.f64 y z)) (*.f64 (/.f64 t x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 t x) (/.f64 t (-.f64 y z))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (/.f64 t x) (neg.f64 (-.f64 y z))))) (neg.f64 (*.f64 (/.f64 t x) (neg.f64 t)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 (/.f64 t x) (-.f64 y z)))) (neg.f64 (*.f64 (/.f64 t x) t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 t (-.f64 y z)) (*.f64 (neg.f64 t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t (-.f64 y z))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 (-.f64 y z))))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) t (*.f64 (neg.f64 t) (-.f64 y z)))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (fma.f64 x (/.f64 t (-.f64 y z)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (/.f64 t (-.f64 y z))))) |
(/.f64 (neg.f64 (fma.f64 x (neg.f64 t) (*.f64 t (neg.f64 (-.f64 y z))))) (neg.f64 (*.f64 t (neg.f64 t)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 t x) (*.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 t (-.f64 y z)) (/.f64 t x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (/.f64 t (-.f64 y z)) (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 t (-.f64 y z)) (neg.f64 t)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 (/.f64 t (-.f64 y z)) x))) (neg.f64 (*.f64 (/.f64 t (-.f64 y z)) t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 y z)) (/.f64 t x) (*.f64 (neg.f64 t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 y z)) (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 x)))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 y z)) t (*.f64 (neg.f64 t) x))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 y z) (/.f64 t x) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (/.f64 t x)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 y z) (neg.f64 t) (*.f64 t (neg.f64 x)))) (neg.f64 (*.f64 t (neg.f64 t)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (+.f64 z y) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 (neg.f64 t)) (+.f64 z y))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (+.f64 (hypot.f64 y z) (*.f64 z y)) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 (neg.f64 t)) (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (+.f64 (/.f64 y t) (/.f64 z t)) (*.f64 (neg.f64 (neg.f64 t)) (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (neg.f64 (neg.f64 t)) (+.f64 (/.f64 y t) (/.f64 z t)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))) (*.f64 (neg.f64 (neg.f64 t)) (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 t)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 (-.f64 y z))))) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (*.f64 (+.f64 z y) t) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (+.f64 z y) t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) t (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 t)) t)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (*.f64 t t) (*.f64 (neg.f64 (neg.f64 t)) (-.f64 (*.f64 y t) (*.f64 t z)))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 t t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 t (-.f64 y z))) (*.f64 (neg.f64 (neg.f64 t)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (/.f64 t (-.f64 y z))))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (*.f64 t (+.f64 z y)) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (+.f64 z y) (-.f64 y z)))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 t (+.f64 z y)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 t)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 t)) (/.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (/.f64 t (-.f64 y z)) (*.f64 (neg.f64 (neg.f64 t)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 t)) (/.f64 t (-.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (*.f64 t (+.f64 (hypot.f64 y z) (*.f64 z y))) (*.f64 (neg.f64 (neg.f64 t)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 t (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 t) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (-.f64 y z)))) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) t (*.f64 (neg.f64 (neg.f64 t)) (-.f64 y z))) (*.f64 (neg.f64 (neg.f64 t)) t)) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 z y) (*.f64 t (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 t #s(literal -1 binary64))))) (*.f64 t (+.f64 z y))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y)) (*.f64 t (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64))))) (*.f64 t (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 y t) (/.f64 z t)) (*.f64 t (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 t (+.f64 (/.f64 y t) (/.f64 z t)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))) (*.f64 t (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))))) (*.f64 t (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 t)) (*.f64 t (neg.f64 (neg.f64 (-.f64 y z))))) (*.f64 t (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 z y) t) (*.f64 t (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)))) (*.f64 t (*.f64 (+.f64 z y) t))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t) (*.f64 t (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) (*.f64 t (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) t (*.f64 t (*.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 t t)) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 t t) (*.f64 t (-.f64 (*.f64 y t) (*.f64 t z)))) (pow.f64 t #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 t (-.f64 y z))) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 (/.f64 t (-.f64 y z))))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 t (+.f64 z y)) (*.f64 t (*.f64 (+.f64 z y) (-.f64 y z)))) (*.f64 t (*.f64 t (+.f64 z y)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 t (-.f64 y z)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t (-.f64 y z)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 t (+.f64 (hypot.f64 y z) (*.f64 z y))) (*.f64 t (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 t (*.f64 t (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 t) (*.f64 t (neg.f64 (-.f64 y z)))) (*.f64 t (neg.f64 t))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) t (*.f64 t (-.f64 y z))) (*.f64 t t)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 z y) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 (/.f64 t x)) (+.f64 z y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 y z) (*.f64 z y)) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 (/.f64 t x)) (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 y t) (/.f64 z t)) (*.f64 (neg.f64 (/.f64 t x)) (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (neg.f64 (/.f64 t x)) (+.f64 (/.f64 y t) (/.f64 z t)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))) (*.f64 (neg.f64 (/.f64 t x)) (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))))) (*.f64 (neg.f64 (/.f64 t x)) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 z t)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 (/.f64 t x)) (neg.f64 (neg.f64 (-.f64 y z))))) (*.f64 (neg.f64 (/.f64 t x)) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) t) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (+.f64 z y) t))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) t))) |
(/.f64 (+.f64 (neg.f64 t) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 t x)) t)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 t t) (*.f64 (neg.f64 (/.f64 t x)) (-.f64 (*.f64 y t) (*.f64 t z)))) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 t t))) |
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(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 t (+.f64 z y)) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 (+.f64 z y) (-.f64 y z)))) (*.f64 (neg.f64 (/.f64 t x)) (*.f64 t (+.f64 z y)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (hypot.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (hypot.f64 x z) (*.f64 x z))) |
(fma.f64 #s(literal -1 binary64) z x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x z) (*.f64 x z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 x z) (*.f64 x z)))) |
(-.f64 x z) |
(+.f64 (neg.f64 z) x) |
(+.f64 x (neg.f64 z)) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))))) |
(*.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t)) |
(pow.f64 (/.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (- (+ x y) z) (+.f64 x y)))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) t)) (neg.f64 (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y)))) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ x y) z) (+.f64 x y))) (neg.f64 t)) |
(/.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 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y)))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y)))) |
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 t (pow.f64 #s(approx (- (+ x y) z) (+.f64 x y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y))))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) #s(approx (- (+ x y) z) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t)) |
(/.f64 (neg.f64 t) (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y)))) |
(/.f64 t #s(approx (- (+ x y) z) (+.f64 x y))) |
(neg.f64 (/.f64 (neg.f64 t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ x y) z) (+.f64 x y)))) (/.f64 (neg.f64 t) #s(approx (- (+ x y) z) (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) t)) #s(literal -1 binary64))) |
#s(approx (- (+ x y) z) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x 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)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(/.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 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 x y))))) |
(/.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 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 y x) (*.f64 x y))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 x y) (*.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 y z) (*.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 y z) (*.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (hypot.f64 y z) (*.f64 z y))) |
(fma.f64 #s(literal -1 binary64) z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (hypot.f64 y z) (*.f64 z y)))) |
(-.f64 y z) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 20 461 to 3 119 computations (84.8% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 155 | 1 | 1 156 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 7 | 7 |
| Total | 1 156 | 11 | 1 167 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 74.2% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.9% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 67.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
| ✓ | 64.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| ✓ | 31.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
| ✓ | 41.5% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
| ✓ | 38.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 41.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ✓ | 31.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| 62.5% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
Compiled 238 to 161 computations (32.4% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.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 (+.f64 y x) z)) |
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (+.f64 y x)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| Outputs |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 10.0ms | (*.f64 t #s(literal 2 binary64)) |
| 7.0ms | y |
| 7.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 6.0ms | t |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 100.0% | 1 | (-.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.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 (+.f64 y x) z)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
8 calls:
| 21.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| 4.0ms | (*.f64 t #s(literal 2 binary64)) |
| 4.0ms | t |
| 4.0ms | x |
| 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 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.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:
| 28.0ms | (*.f64 t #s(literal 2 binary64)) |
| 8.0ms | y |
| 4.0ms | t |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | x |
| 90.6% | 2 | y |
| 90.9% | 3 | z |
| 74.2% | 1 | t |
| 98.3% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 98.3% | 2 | (-.f64 (+.f64 x y) z) |
| 98.5% | 2 | (+.f64 x y) |
| 74.2% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.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:
| 52.0ms | z |
| 4.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | z |
| 83.9% | 2 | y |
| 73.9% | 3 | x |
| 83.3% | 3 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 81.5% | 2 | (-.f64 (+.f64 x y) z) |
| 85.0% | 2 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
2 calls:
| 3.0ms | z |
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | (+.f64 x y) |
| 70.6% | 3 | z |
Compiled 4 to 9 computations (-125% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 x #s(literal 1/2 binary64)) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
6 calls:
| 6.0ms | y |
| 3.0ms | (+.f64 x y) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | (*.f64 t #s(literal 2 binary64)) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 3 | t |
| 48.5% | 3 | (*.f64 t #s(literal 2 binary64)) |
| 66.5% | 2 | (-.f64 (+.f64 x y) z) |
| 66.5% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 64.7% | 5 | y |
| 75.9% | 3 | (+.f64 x y) |
Compiled 22 to 34 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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) t) x)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 3 | (+.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| 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 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
1 calls:
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 3 | (+.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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) t) y)) |
| 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 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
1 calls:
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | (+.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#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)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
6 calls:
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.3% | 4 | y |
| 49.1% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 48.8% | 2 | (-.f64 (+.f64 x y) z) |
| 55.9% | 3 | z |
| 54.6% | 2 | x |
| 54.6% | 2 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% 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) z)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
8 calls:
| 4.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.0% | 1 | y |
| 38.0% | 1 | t |
| 38.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 38.0% | 1 | (-.f64 (+.f64 x y) z) |
| 38.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 38.0% | 1 | z |
| 38.0% | 1 | x |
| 38.0% | 1 | (+.f64 x y) |
Compiled 24 to 42 computations (-75% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.498098257945446e-232 | -3.7163936262358066e-239 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.474508785548225e+79 | 1.2128380102684e+82 |
| 8.0ms | -4.51344199157212e+61 | -3.1410744993601987e+60 |
| 11.0ms | 224× | 0 | valid |
Compiled 236 to 296 computations (-25.4% saved)
ival-sub: 1.0ms (18.4% of total)ival-div: 1.0ms (18.4% of total)ival-add: 1.0ms (18.4% of total)ival-mult: 1.0ms (18.4% 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 | 1.474508785548225e+79 | 1.2128380102684e+82 |
| 1.0ms | -4.51344199157212e+61 | -3.1410744993601987e+60 |
Compiled 236 to 296 computations (-25.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.133563783236377e-27 | 2.381722275530098e-15 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.133563783236377e-27 | 2.381722275530098e-15 |
| 0.0ms | -1.4202679919806269e+77 | -1.1465136388428497e+74 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.133563783236377e-27 | 2.381722275530098e-15 |
| 0.0ms | -1.4202679919806269e+77 | -1.1465136388428497e+74 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.133563783236377e-27 | 2.381722275530098e-15 |
| 0.0ms | -1.4202679919806269e+77 | -1.1465136388428497e+74 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.133563783236377e-27 | 2.381722275530098e-15 |
| 0.0ms | -1.4202679919806269e+77 | -1.1465136388428497e+74 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4202679919806269e+77 | -1.1465136388428497e+74 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
| 326× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 276× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 208× | cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64 |
| 206× | neg-mul-1-binary64-*.f64-neg.f64 |
| 164× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 457 |
| 1 | 89 | 457 |
| 2 | 104 | 457 |
| 3 | 116 | 457 |
| 4 | 144 | 457 |
| 5 | 177 | 457 |
| 6 | 229 | 457 |
| 7 | 314 | 457 |
| 8 | 417 | 457 |
| 9 | 492 | 457 |
| 10 | 595 | 457 |
| 11 | 730 | 457 |
| 12 | 879 | 457 |
| 13 | 997 | 457 |
| 14 | 1089 | 457 |
| 15 | 1120 | 457 |
| 16 | 1142 | 457 |
| 17 | 1143 | 457 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -3495959950985713/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576 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 -12999999999999998628408912508982304741384400418426762758717440 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 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 -12999999999999998628408912508982304741384400418426762758717440 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))))) |
(if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #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) t) z))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| Outputs |
|---|
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 y (-.f64 z x)) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t)) |
(if (<=.f64 (+.f64 x y) #s(literal -3495959950985713/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576 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 (+.f64 x y) #s(literal -3495959950985713/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t))) |
(if (<=.f64 z #s(literal -12999999999999998628408912508982304741384400418426762758717440 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 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 -12999999999999998628408912508982304741384400418426762758717440 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)))) |
(if (<=.f64 z #s(literal -12999999999999998628408912508982304741384400418426762758717440 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))))) |
(if (<=.f64 z #s(literal -12999999999999998628408912508982304741384400418426762758717440 binary64)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (if (<=.f64 z #s(literal 89999999999999998707545232380565715159686815017200324202130087201276892345794560 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 x y)) (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))) |
(if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #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 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) t)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)))) |
(if (<=.f64 (+.f64 x y) #s(literal -99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #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) t) z))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| 7 612× | lower-fma.f64 |
| 7 612× | lower-fma.f32 |
| 5 274× | lower-/.f32 |
| 5 264× | lower-/.f64 |
| 5 046× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 650 |
| 1 | 314 | 650 |
| 2 | 876 | 650 |
| 3 | 2929 | 650 |
| 4 | 7535 | 650 |
| 0 | 8737 | 650 |
| 0 | 27 | 116 |
| 0 | 39 | 116 |
| 1 | 164 | 116 |
| 2 | 1302 | 116 |
| 0 | 8232 | 116 |
| 0 | 28 | 121 |
| 0 | 41 | 121 |
| 1 | 169 | 121 |
| 2 | 1084 | 121 |
| 0 | 8245 | 121 |
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 516 to 339 computations (34.3% saved)
(sort x y)
(negabs t)
Compiled 662 to 254 computations (61.6% saved)
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