
Time bar (total: 9.0s)
| 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 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 9 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 10 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 11 |
| 48.4% | 48.3% | 51.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 553.0ms (82.6% of total)ival-div: 66.0ms (9.9% of total)ival-sub: 36.0ms (5.4% of total)ival-true: 6.0ms (0.9% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 1 | (8.155090377179497e-213 -1.2980063497886814e-276 -2.5400424838140844e-253 -1.0219435733150687e-57) | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 4 | 0 | - | 4 | (2.2555243633090528e-306 -4.700712392522601e+123 4.5574991301073615e+219 -2.5529833662643984e+153) | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 t z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/o | 10 | 0 |
| ↳ | (*.f64 t z) | overflow | 26 | |
| ↳ | (*.f64 y z) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | overflow | 46 | |
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/u | 7 | 0 |
| ↳ | (*.f64 t z) | underflow | 32 | |
| ↳ | (*.f64 y z) | underflow | 34 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | underflow | 15 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 5 |
| - | 0 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 5 |
| - | 0 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 111 to 47 computations (57.7% saved)
ival-mult: 13.0ms (66.5% of total)ival-div: 3.0ms (15.4% of total)ival-sub: 2.0ms (10.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 186× | div-sub |
| 880× | lower-fma.f64 |
| 880× | lower-fma.f32 |
| 852× | associate-/r* |
| 846× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 137 |
| 1 | 177 | 126 |
| 2 | 472 | 126 |
| 3 | 1807 | 126 |
| 4 | 4450 | 126 |
| 5 | 6516 | 126 |
| 6 | 7612 | 126 |
| 7 | 7820 | 126 |
| 8 | 7898 | 126 |
| 0 | 10 | 11 |
| 0 | 15 | 9 |
| 1 | 27 | 9 |
| 2 | 53 | 9 |
| 3 | 88 | 9 |
| 4 | 119 | 9 |
| 5 | 170 | 9 |
| 6 | 302 | 9 |
| 7 | 492 | 9 |
| 8 | 844 | 9 |
| 9 | 1860 | 9 |
| 10 | 2436 | 9 |
| 11 | 2610 | 9 |
| 12 | 2709 | 9 |
| 13 | 2762 | 9 |
| 14 | 2765 | 9 |
| 15 | 2803 | 9 |
| 16 | 2803 | 9 |
| 0 | 2803 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(negabs z)
(negabs x)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 880× | lower-fma.f64 |
| 880× | lower-fma.f32 |
| 846× | times-frac |
| 784× | lower-*.f32 |
| 778× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 15 | 28 |
| 1 | 27 | 28 |
| 2 | 53 | 28 |
| 3 | 88 | 28 |
| 4 | 119 | 28 |
| 5 | 170 | 28 |
| 6 | 302 | 28 |
| 7 | 492 | 28 |
| 8 | 844 | 28 |
| 9 | 1860 | 28 |
| 10 | 2436 | 28 |
| 11 | 2610 | 28 |
| 12 | 2709 | 28 |
| 13 | 2762 | 28 |
| 14 | 2765 | 28 |
| 15 | 2803 | 28 |
| 16 | 2803 | 28 |
| 0 | 2803 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 y z) |
y |
z |
(*.f64 t z) |
t |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 (-.f64 y t) z) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 t z) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.8593729358302059 | (-.f64 (*.f64 y z) (*.f64 t z)) | |
| accuracy | 4.175127047547719 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 46.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 6.0ms (63% of total)ival-div: 2.0ms (21% of total)ival-sub: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y z) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | z | @ | -inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | z | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | x | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | t | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1× | egg-herbie |
| 9 616× | lower-fma.f64 |
| 9 616× | lower-fma.f32 |
| 5 624× | lower-*.f64 |
| 5 624× | lower-*.f32 |
| 2 346× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -1 (* t z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -1 (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 y t)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) t)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y t) y)) (/.f64 #s(literal -2 binary64) t) (*.f64 (/.f64 x z) #s(literal -2 binary64))) t) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) t))) t))) t)) t) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) y (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x (*.f64 t z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t)) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 x (pow.f64 t #s(literal 4 binary64))) y (/.f64 x (pow.f64 t #s(literal 3 binary64))))) (*.f64 y y))) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y)) (/.f64 x z)) y)) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (/.f64 x z))) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x z) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (/.f64 (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y)) y)))) y)) y) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
| 4 490× | lower-*.f32 |
| 4 484× | lower-*.f64 |
| 3 948× | lower-/.f32 |
| 3 946× | lower-/.f64 |
| 3 788× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 y z) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
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(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 y t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x z))) (-.f64 y t)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z))) (neg.f64 (-.f64 y t))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) z) (+.f64 t y))) (*.f64 (*.f64 (+.f64 t y) z) (*.f64 (neg.f64 z) (-.f64 y t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) z)) (neg.f64 (/.f64 (-.f64 y t) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 (-.f64 y t) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) z) (+.f64 t y)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 t y) z) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z)) (-.f64 y t)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y t)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (/.f64 (-.f64 y t) x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 z) (-.f64 y t))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) |
(/.f64 x (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
Compiled 12 941 to 1 369 computations (89.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 9 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 536 | 9 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| 90.2% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) | |
| ▶ | 90.1% | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
| 93.0% | (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) | |
| ▶ | 93.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ▶ | 93.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| 56.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| ▶ | 93.6% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 93.0% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) | |
| ▶ | 51.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 164 to 166 computations (-1.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) t) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (fma.f64 z y (*.f64 (neg.f64 z) t)) | |
| cost-diff | -384 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 y t) z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 x (*.f64 t z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 1 312× | lower-fma.f32 |
| 1 310× | lower-fma.f64 |
| 1 216× | lower-*.f32 |
| 1 202× | lower-*.f64 |
| 730× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 147 |
| 0 | 45 | 141 |
| 1 | 82 | 141 |
| 2 | 122 | 141 |
| 3 | 164 | 141 |
| 4 | 197 | 141 |
| 5 | 261 | 141 |
| 6 | 457 | 141 |
| 7 | 628 | 141 |
| 8 | 1112 | 141 |
| 9 | 2309 | 141 |
| 10 | 3704 | 141 |
| 11 | 4063 | 141 |
| 12 | 4133 | 141 |
| 13 | 4174 | 141 |
| 14 | 4196 | 141 |
| 15 | 4233 | 141 |
| 16 | 4497 | 141 |
| 17 | 4613 | 141 |
| 18 | 4613 | 141 |
| 19 | 4613 | 141 |
| 0 | 4613 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
x |
(*.f64 t z) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
z |
y |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
t |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
x |
(-.f64 y t) |
y |
t |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 t y)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z)))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z))) |
(/.f64 x (*.f64 t z)) |
x |
(*.f64 t z) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
(*.f64 (-.f64 y t) z) |
z |
y |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
t |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(*.f64 x (/.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
x |
(-.f64 y t) |
y |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.22265625 | (*.f64 (/.f64 #s(literal 2 binary64) z) x) | |
| accuracy | 6.254475208231019 | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.2539034976055602 | (fma.f64 z y (*.f64 (neg.f64 z) t)) | |
| accuracy | 4.175127047547719 | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 4.175127047547719 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| accuracy | 3.8913711190721023 | (/.f64 x (*.f64 t z)) | |
| accuracy | 29.61638247892042 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.21484375 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| accuracy | 4.062312482396401 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 110.0ms | 256× | 0 | valid |
Compiled 143 to 28 computations (80.4% saved)
ival-div: 58.0ms (75.4% of total)ival-mult: 14.0ms (18.2% of total)ival-sub: 2.0ms (2.6% of total)ival-add: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (fma.f64 z y (*.f64 (neg.f64 z) t)) (patch (fma.f64 z y (*.f64 (neg.f64 z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 z) t) (patch (*.f64 (neg.f64 z) t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | -inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (+ (* z y) (* (neg z) t)) (* (neg z) t) (neg z) (/ (* (/ 2 z) x) (- y t)) (* (/ 2 z) x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 22.0ms | z | @ | 0 | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (+ (* z y) (* (neg z) t)) (* (neg z) t) (neg z) (/ (* (/ 2 z) x) (- y t)) (* (/ 2 z) x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | z | @ | -inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (+ (* z y) (* (neg z) t)) (* (neg z) t) (neg z) (/ (* (/ 2 z) x) (- y t)) (* (/ 2 z) x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | x | @ | inf | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (+ (* z y) (* (neg z) t)) (* (neg z) t) (neg z) (/ (* (/ 2 z) x) (- y t)) (* (/ 2 z) x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 4.0ms | x | @ | 0 | ((* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 z) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (+ (* z y) (* (neg z) t)) (* (neg z) t) (neg z) (/ (* (/ 2 z) x) (- y t)) (* (/ 2 z) x) (/ (* x 2) (+ (* z y) (* (neg z) t)))) |
| 1× | egg-herbie |
| 8 502× | lower-fma.f64 |
| 8 502× | lower-fma.f32 |
| 4 422× | lower-*.f64 |
| 4 422× | lower-*.f32 |
| 2 976× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 5843 |
| 1 | 1149 | 5554 |
| 2 | 3646 | 5319 |
| 3 | 6791 | 5309 |
| 0 | 8487 | 5144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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y |
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y |
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(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (*.f64 t (/.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) t) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 y t) (/.f64 #s(literal -2 binary64) z)) t) |
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) (/.f64 #s(literal -2 binary64) z)) t) |
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) (/.f64 #s(literal -2 binary64) z))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ y t) 1)) |
(*.f64 (-.f64 (/.f64 y t) #s(literal 1 binary64)) t) |
(* t (- (/ y t) 1)) |
(*.f64 (-.f64 (/.f64 y t) #s(literal 1 binary64)) t) |
(* t (- (/ y t) 1)) |
(*.f64 (-.f64 (/.f64 y t) #s(literal 1 binary64)) t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (*.f64 z (-.f64 (/.f64 y t) #s(literal 1 binary64))) t) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (*.f64 z (-.f64 (/.f64 y t) #s(literal 1 binary64))) t) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(*.f64 (*.f64 z (-.f64 (/.f64 y t) #s(literal 1 binary64))) t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 (/.f64 y t) t) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) t) |
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(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x z) (fma.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 t y) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (/.f64 x z))) y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 t y)) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 t z) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 t z) (fma.f64 t (/.f64 t y) t))) y)) y) (/.f64 #s(literal -2 binary64) z)) y) |
y |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* -1 (* y (- (/ t y) 1))) |
(fma.f64 (/.f64 (neg.f64 t) y) y y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (+ (* -1 (* t z)) (* y z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
| 5 874× | lower-fma.f32 |
| 5 872× | lower-fma.f64 |
| 5 708× | lower-*.f32 |
| 5 694× | lower-*.f64 |
| 3 458× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 111 |
| 0 | 45 | 105 |
| 1 | 169 | 105 |
| 2 | 973 | 105 |
| 0 | 8962 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
(-.f64 y t) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
(*.f64 t z) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (-.f64 y t) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(fma.f64 z y (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) z) (+.f64 t y)) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y t))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z))) (+.f64 t y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (-.f64 y t) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 t y))) (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y)) |
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (-.f64 y t) z)) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t)))) (+.f64 t y)) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y t) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) z) (/.f64 (+.f64 t y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) z) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) #s(literal -1 binary64)) (/.f64 x (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 y t))) |
(*.f64 (/.f64 x (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 y t)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (/.f64 x z) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 x z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal -2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 x z)) |
(*.f64 (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y))) (*.f64 (+.f64 t y) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (+.f64 t y) (-.f64 t y))) (/.f64 x (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (*.f64 (-.f64 y t) z) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (/.f64 x (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 y t) z) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 #s(literal -2 binary64) (-.f64 t y))) (*.f64 (+.f64 t y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 #s(literal -2 binary64) (-.f64 t y))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) (/.f64 #s(literal 2 binary64) z))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (+.f64 t y)) |
(*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t y) (-.f64 y t)) #s(literal -1 binary64)) (*.f64 (+.f64 t y) (*.f64 x (/.f64 #s(literal 2 binary64) z)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (*.f64 x (/.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y t)))) |
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 2 binary64) z))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) (-.f64 t y))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y t))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y t))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 x (-.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y t)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z))) |
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 x (pow.f64 (-.f64 t y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (/.f64 x (-.f64 y t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (neg.f64 x) (-.f64 y t))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (-.f64 y t)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (*.f64 (-.f64 y t) z))) |
(*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 y t))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 y t)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x (-.f64 y t)) z)) |
(pow.f64 (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 t (-.f64 t y)))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (*.f64 (+.f64 t y) (-.f64 y t))) (-.f64 y t)) |
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(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x (-.f64 y t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 2 binary64))) (-.f64 y t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x (-.f64 y t)) (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 y t))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 y t) #s(literal -1/2 binary64)) z)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) (-.f64 t y)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (-.f64 t y) z)) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 y t)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 y t) x) (neg.f64 z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) (/.f64 (-.f64 y t) x))) |
(/.f64 x (*.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 t y))) |
(/.f64 x (*.f64 (*.f64 (-.f64 y t) z) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal -2 binary64)) z)) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y t))) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y t))) (neg.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z)))) |
(neg.f64 (*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t)) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) t (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) y)) |
(fma.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) y (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) t)) |
(fma.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 t t)) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t y))) |
(fma.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y)) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y))) |
(fma.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 t z) y) z))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 y y (*.f64 t t)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 t y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 t z) y) z) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 t (+.f64 t y)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 t (+.f64 t y)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 t z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (*.f64 y z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(fma.f64 (*.f64 y z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (*.f64 t z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(fma.f64 t (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (*.f64 y (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)))) |
(fma.f64 y (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) (*.f64 t (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 t y) z)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 t y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 t y) x) (*.f64 z #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 t (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z))) (*.f64 y (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)))) |
(+.f64 (*.f64 y (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z))) (*.f64 t (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 t t)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (*.f64 t y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 t (+.f64 t y)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (*.f64 t (+.f64 t y)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (*.f64 y z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(+.f64 (*.f64 (*.f64 y z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))))) (*.f64 (*.f64 t z) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 t z) y) z) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) t) (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) y)) |
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) y) (*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z)) t)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y))) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 y z)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 t z))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 t z) y) z))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
Compiled 44 252 to 2 865 computations (93.5% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 439 | 7 | 2 446 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 443 | 12 | 2 455 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.2% | (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
| ▶ | 93.0% | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
| ✓ | 93.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ✓ | 93.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ▶ | 56.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| ✓ | 93.6% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 56.7% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) | |
| ▶ | 51.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| 50.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) | |
| ▶ | 51.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
| 51.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) | |
| ✓ | 51.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 169 to 181 computations (-7.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 (*.f64 t z) x) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) | |
| cost-diff | 384 | (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| cost-diff | 0 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| cost-diff | 0 | (-.f64 t y) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (-.f64 t y)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
| 3 280× | lower-fma.f64 |
| 3 280× | lower-fma.f32 |
| 1 920× | lower-*.f32 |
| 1 910× | lower-*.f64 |
| 1 488× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 168 |
| 0 | 47 | 162 |
| 1 | 78 | 162 |
| 2 | 135 | 162 |
| 3 | 208 | 162 |
| 4 | 265 | 162 |
| 5 | 391 | 162 |
| 6 | 693 | 162 |
| 7 | 1483 | 162 |
| 8 | 2542 | 162 |
| 9 | 3548 | 162 |
| 10 | 4032 | 162 |
| 11 | 4201 | 162 |
| 12 | 4253 | 162 |
| 13 | 4304 | 162 |
| 14 | 4836 | 162 |
| 15 | 5778 | 162 |
| 16 | 7028 | 162 |
| 17 | 7206 | 162 |
| 18 | 7214 | 162 |
| 19 | 7228 | 162 |
| 20 | 7230 | 162 |
| 21 | 7246 | 162 |
| 22 | 7246 | 162 |
| 23 | 7246 | 162 |
| 24 | 7502 | 162 |
| 0 | 8008 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal -2 binary64) |
(-.f64 t y) |
t |
y |
x |
z |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
#s(literal -2 binary64) |
(*.f64 t z) |
t |
z |
x |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 t z) x) |
(*.f64 t z) |
t |
z |
x |
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) z) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
(*.f64 (/.f64 (/.f64 x (-.f64 t y)) z) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal -2 binary64) |
(-.f64 t y) |
t |
y |
x |
z |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
#s(literal -2 binary64) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
x |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
#s(literal -2 binary64) |
(/.f64 (*.f64 t z) x) |
(/.f64 (*.f64 z t) x) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
x |
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
(*.f64 (/.f64 (/.f64 x (-.f64 t y)) z) #s(literal -2 binary64)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) z) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 6.254475208231019 | (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.21473478418869435 | (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) | |
| accuracy | 3.899243545720566 | (/.f64 (*.f64 t z) x) | |
| accuracy | 29.61638247892042 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 4.175127047547719 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| accuracy | 26.569492774574595 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.3046662506988798 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| accuracy | 4.062312482396401 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| accuracy | 32.135159473708086 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) (-.f64 t y)) | |
| accuracy | 0 | (-.f64 t y) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) | |
| accuracy | 4.473325184348657 | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
| 149.0ms | 256× | 0 | valid |
Compiled 142 to 27 computations (81% saved)
ival-div: 15.0ms (53.1% of total)ival-mult: 9.0ms (31.9% of total)ival-sub: 4.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) (patch (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ()) |
#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) (patch (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t z) x) (patch (/.f64 (*.f64 t z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) (patch (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) z) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) (patch (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) (patch (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) (patch (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) (patch (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | t | @ | -inf | ((/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (- t y) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (/ (* t z) x)) (/ (* x 2) (- (* y z) (* t z))) (/ (* t z) x) (/ (/ (* x 2) z) (- y t)) (/ (* x 2) z) (- y t)) |
| 4.0ms | x | @ | 0 | ((/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (- t y) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (/ (* t z) x)) (/ (* x 2) (- (* y z) (* t z))) (/ (* t z) x) (/ (/ (* x 2) z) (- y t)) (/ (* x 2) z) (- y t)) |
| 4.0ms | x | @ | inf | ((/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (- t y) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (/ (* t z) x)) (/ (* x 2) (- (* y z) (* t z))) (/ (* t z) x) (/ (/ (* x 2) z) (- y t)) (/ (* x 2) z) (- y t)) |
| 4.0ms | x | @ | -inf | ((/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (- t y) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (/ (* t z) x)) (/ (* x 2) (- (* y z) (* t z))) (/ (* t z) x) (/ (/ (* x 2) z) (- y t)) (/ (* x 2) z) (- y t)) |
| 4.0ms | z | @ | 0 | ((/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (- t y) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ -2 (/ (* t z) x)) (/ (* x 2) (- (* y z) (* t z))) (/ (* t z) x) (/ (/ (* x 2) z) (- y t)) (/ (* x 2) z) (- y t)) |
| 1× | egg-herbie |
| 7 786× | lower-fma.f64 |
| 7 786× | lower-fma.f32 |
| 5 848× | lower-*.f64 |
| 5 848× | lower-*.f32 |
| 2 650× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 594 | 6613 |
| 1 | 1818 | 6309 |
| 2 | 5277 | 6249 |
| 0 | 8346 | 6027 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
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(* y z) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x y)) |
(* -1 (/ (+ (* -2 x) (* -2 (/ (* t x) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t y))))) |
(* -1 (* y (+ 1 (* -1 (/ t y))))) |
(* -1 (* y (+ 1 (* -1 (/ t y))))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) t (/.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(- t y) |
(-.f64 t y) |
(- t y) |
(-.f64 t y) |
(- t y) |
(-.f64 t y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ 2 (* y z)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) z) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) z) t (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) z) t (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) z)) t (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) z)) t (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) z)) t (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(/ -2 (* t z)) |
(/.f64 (/.f64 #s(literal -2 binary64) t) z) |
(/ -2 (* t z)) |
(/.f64 (/.f64 #s(literal -2 binary64) t) z) |
(/ -2 (* t z)) |
(/.f64 (/.f64 #s(literal -2 binary64) t) z) |
(/ -2 (* t z)) |
(/.f64 (/.f64 #s(literal -2 binary64) t) z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) z) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (+.f64 (/.f64 (/.f64 y t) z) (*.f64 (/.f64 (/.f64 y t) t) (/.f64 y z))) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) (*.f64 x (fma.f64 y (/.f64 (/.f64 (/.f64 y t) t) z) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) z))))) t) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (* -2 (/ (* x y) t))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 y t) x x) t)) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 y (/.f64 (/.f64 y t) t) (/.f64 y t)) x)) t) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 y t) x x) (*.f64 x (fma.f64 y (/.f64 (/.f64 y t) t) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) t) |
(/ -2 t) |
(/.f64 #s(literal -2 binary64) t) |
(/ (- (* -2 (/ y t)) 2) t) |
(/.f64 (fma.f64 (/.f64 y t) #s(literal -2 binary64) #s(literal -2 binary64)) t) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t y)) y) |
(* -1 (* y (- (/ t y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t y)) y) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
| 4 486× | lower-*.f32 |
| 4 476× | lower-*.f64 |
| 4 092× | lower-/.f32 |
| 4 076× | lower-/.f64 |
| 2 856× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 140 |
| 0 | 47 | 134 |
| 1 | 177 | 134 |
| 2 | 1155 | 134 |
| 0 | 8684 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
(-.f64 t y) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 x #s(literal 2 binary64)) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
(/.f64 (*.f64 t z) x) |
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) z) |
(-.f64 y t) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y t) x) (*.f64 z #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y t) x) (*.f64 z #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 t) t (*.f64 y y)) #s(literal -1 binary64)) z) (/.f64 (+.f64 y t) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)) z) (/.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (neg.f64 t) t (*.f64 y y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 t) t (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 t y)) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 t y)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 t y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (/.f64 x (-.f64 t y))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (*.f64 t t))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 t t))) (/.f64 (/.f64 #s(literal -2 binary64) z) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) z) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 t) t (*.f64 y y))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z (-.f64 t y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 2 binary64) (-.f64 t y))) |
(*.f64 (/.f64 x (*.f64 (*.f64 z z) (fma.f64 (neg.f64 t) t (*.f64 y y)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 y t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 z (*.f64 z t)) (+.f64 y t) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 t y)) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 y t))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 2 binary64) (-.f64 t y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (*.f64 t t))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y t) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 (*.f64 (/.f64 x (+.f64 y t)) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 y t) #s(literal -1 binary64)))) |
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(pow.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (/.f64 (*.f64 y y) (+.f64 y t))) (*.f64 (/.f64 (*.f64 t t) (+.f64 y t)) (/.f64 (*.f64 t t) (+.f64 y t)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (/.f64 (*.f64 t t) (+.f64 y t)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t)))) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 t y) (-.f64 t y))) (-.f64 t y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (+.f64 y t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (/.f64 (*.f64 y y) (+.f64 y t)) (fma.f64 (/.f64 (*.f64 t t) (+.f64 y t)) (/.f64 (*.f64 t t) (+.f64 y t)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (/.f64 (*.f64 t t) (+.f64 y t)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (fma.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 t y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 t y) (-.f64 t y) (*.f64 #s(literal 0 binary64) (-.f64 t y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 y y) (*.f64 (neg.f64 t) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 t t)) (+.f64 y t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (*.f64 y t) #s(literal 2 binary64)))) (+.f64 y t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 y (+.f64 y t) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 t #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 y t) #s(literal 3 binary64)))) (fma.f64 y (+.f64 y t) (*.f64 t t)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y t)) (*.f64 (+.f64 y t) (*.f64 t t))) (*.f64 (+.f64 y t) (+.f64 y t))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (*.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) (fma.f64 y (+.f64 y t) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 t y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 t t)) (-.f64 (neg.f64 t) y)) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 t t)) (neg.f64 (+.f64 y t))) |
(/.f64 (fma.f64 (neg.f64 t) t (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y t)))) |
(/.f64 (fma.f64 (neg.f64 t) t (*.f64 y y)) (+.f64 y t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 t t (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) t))))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y t) (*.f64 t t))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) t)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 y (+.f64 y t) (*.f64 t t))) |
(/.f64 (-.f64 y t) #s(literal 1 binary64)) |
(/.f64 (-.f64 t y) #s(literal -1 binary64)) |
(neg.f64 (-.f64 t y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 t)) |
(fma.f64 #s(literal -1 binary64) t y) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 t #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 t)) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (+.f64 y t)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))))) |
(fma.f64 t #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y t)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 t t) (+.f64 y t)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 t #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 t t) (neg.f64 (+.f64 y t))) (/.f64 (*.f64 y y) (neg.f64 (+.f64 y t)))) |
(-.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y t) (*.f64 t t)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y t) (*.f64 t t))))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (/.f64 (*.f64 t t) (+.f64 y t))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t)))) |
(-.f64 #s(literal 0 binary64) (-.f64 t y)) |
(-.f64 (neg.f64 t) (neg.f64 y)) |
(-.f64 y t) |
(+.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 t #s(literal -1 binary64))) |
(+.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y t)) (neg.f64 (/.f64 (*.f64 t t) (+.f64 y t)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 y (+.f64 y t) (*.f64 t t))))) |
(+.f64 #s(literal 0 binary64) (-.f64 y t)) |
(+.f64 (neg.f64 t) y) |
(+.f64 y (neg.f64 t)) |
Compiled 23 705 to 2 485 computations (89.5% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 456 | 3 | 1 459 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 459 | 12 | 1 471 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.2% | (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
| ▶ | 54.9% | (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
| ✓ | 93.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ✓ | 93.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ✓ | 56.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| ▶ | 54.9% | (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
| ▶ | 56.7% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| ✓ | 51.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| ▶ | 50.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
| ✓ | 51.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
| ▶ | 51.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
| ✓ | 51.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 141 to 154 computations (-9.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) x) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) | |
| cost-diff | 0 | (/.f64 t x) | |
| cost-diff | 0 | (*.f64 (/.f64 t x) z) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| 2 664× | lower-*.f32 |
| 2 652× | lower-*.f64 |
| 2 616× | lower-fma.f64 |
| 2 616× | lower-fma.f32 |
| 1 616× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 202 |
| 0 | 49 | 192 |
| 1 | 80 | 192 |
| 2 | 138 | 192 |
| 3 | 196 | 192 |
| 4 | 236 | 192 |
| 5 | 334 | 192 |
| 6 | 551 | 192 |
| 7 | 1158 | 192 |
| 8 | 2036 | 192 |
| 9 | 2934 | 192 |
| 10 | 3582 | 192 |
| 11 | 4039 | 192 |
| 12 | 4234 | 192 |
| 13 | 4281 | 192 |
| 14 | 4672 | 192 |
| 15 | 5444 | 192 |
| 16 | 5962 | 192 |
| 17 | 6204 | 192 |
| 18 | 6238 | 192 |
| 19 | 6280 | 192 |
| 20 | 6300 | 192 |
| 21 | 6766 | 192 |
| 22 | 6980 | 192 |
| 23 | 7024 | 192 |
| 24 | 7086 | 192 |
| 25 | 7477 | 192 |
| 26 | 7864 | 192 |
| 0 | 8390 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
#s(literal -2 binary64) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
t |
x |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) |
(/.f64 (*.f64 #s(literal -2 binary64) x) z) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
z |
t |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
#s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
z |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
z |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) |
#s(literal -2 binary64) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
t |
x |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) |
(/.f64 (*.f64 #s(literal -2 binary64) x) z) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
z |
t |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
#s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
z |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.1875 | (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) | |
| accuracy | 4.473325184348657 | (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) | |
| accuracy | 28.92093475459196 | #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 4.473325184348657 | (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| accuracy | 27.740484447719478 | #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal -2 binary64) x) z) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 5.745189646461824 | (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) | |
| accuracy | 29.61638247892042 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) | |
| accuracy | 0 | (/.f64 t x) | |
| accuracy | 0.21473478418869435 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) | |
| accuracy | 4.257964722608103 | (*.f64 (/.f64 t x) z) | |
| accuracy | 29.61638247892042 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.4064332879945859 | (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| accuracy | 4.062312482396401 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) | |
| accuracy | 26.569492774574595 | #s(approx (- (* y z) (* t z)) (*.f64 z y)) |
| 83.0ms | 256× | 0 | valid |
Compiled 152 to 29 computations (80.9% saved)
ival-mult: 30.0ms (56.9% of total)ival-div: 20.0ms (37.9% of total)ival-sub: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) (patch (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -2 binary64) x) z) (patch (/.f64 (*.f64 #s(literal -2 binary64) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) (patch (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) (patch (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) (patch (/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) (patch (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (/ (* x 2) (- (* y z) (* t z))) (/ (/ (* -2 x) z) t) (/ (* -2 x) z) (* -2 x) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (* (/ x y) 2) (/ x y) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (/ 2 y)) |
| 4.0ms | x | @ | -inf | ((* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (/ (* x 2) (- (* y z) (* t z))) (/ (/ (* -2 x) z) t) (/ (* -2 x) z) (* -2 x) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (* (/ x y) 2) (/ x y) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (/ 2 y)) |
| 3.0ms | x | @ | inf | ((* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (/ (* x 2) (- (* y z) (* t z))) (/ (/ (* -2 x) z) t) (/ (* -2 x) z) (* -2 x) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (* (/ x y) 2) (/ x y) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (/ 2 y)) |
| 3.0ms | x | @ | 0 | ((* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (/ (* x 2) (- (* y z) (* t z))) (/ (/ (* -2 x) z) t) (/ (* -2 x) z) (* -2 x) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (* (/ x y) 2) (/ x y) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (/ 2 y)) |
| 3.0ms | z | @ | -inf | ((* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (/ (* x 2) (- (* y z) (* t z))) (/ (/ (* -2 x) z) t) (/ (* -2 x) z) (* -2 x) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (* (/ x y) 2) (/ x y) (/ (* (/ -2 (- t y)) x) z) (* (/ -2 (- t y)) x) (/ -2 (- t y)) (/ 2 y)) |
| 1× | egg-herbie |
| 7 662× | lower-fma.f64 |
| 7 662× | lower-fma.f32 |
| 5 664× | lower-*.f64 |
| 5 664× | lower-*.f32 |
| 2 738× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 580 | 7269 |
| 1 | 1768 | 6947 |
| 2 | 5091 | 6883 |
| 0 | 8170 | 6631 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
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(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x y)) |
(/ (+ (* 2 x) (* 2 (/ (* t x) y))) y) |
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (* 2 (/ (* (pow t 2) x) (pow y 2))))) y) |
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (+ (* 2 (/ (* (pow t 2) x) (pow y 2))) (* 2 (/ (* (pow t 3) x) (pow y 3)))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x y)) |
(* -1 (/ (+ (* -2 x) (* -2 (/ (* t x) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x y)) |
(* -1 (/ (+ (* -2 x) (* -2 (/ (* t x) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) y)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(* 2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
(* -2 (/ x (- t y))) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) t (/.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) t (/.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(* -2 (/ x (- t y))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
| 5 696× | lower-*.f32 |
| 5 684× | lower-*.f64 |
| 4 516× | lower-fma.f64 |
| 4 516× | lower-fma.f32 |
| 4 324× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 182 |
| 0 | 49 | 172 |
| 1 | 171 | 172 |
| 2 | 987 | 172 |
| 0 | 8333 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) |
(*.f64 (/.f64 t x) z) |
(/.f64 t x) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t) |
(/.f64 (*.f64 #s(literal -2 binary64) x) z) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
#s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) |
#s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 x (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #s(literal -2 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (/.f64 x #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)) (/.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(*.f64 #s(literal 2 binary64) (/.f64 x #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(pow.f64 (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (/.f64 x #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 x (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)) |
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal 1 binary64)) |
#s(approx (- (* y z) (* t z)) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* y z) (* t z)) (*.f64 z y)))) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) t)) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) z)) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 t) z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) #s(literal 1 binary64)) (/.f64 x t)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) (neg.f64 t)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 x z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) t)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z)) (/.f64 x t)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) (/.f64 x z)) |
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t x) z)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t x) z)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t z)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 t z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 2 binary64) t)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 t z))) |
(*.f64 (pow.f64 (*.f64 t (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) z) t) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x t)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 x #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (*.f64 t z) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) t) z) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 x t))) |
(*.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x t)) |
(*.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (neg.f64 x) t)) |
(*.f64 (/.f64 (neg.f64 x) t) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) t))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) t)) |
(*.f64 (*.f64 (/.f64 x t) #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) |
(*.f64 (/.f64 x t) (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 t) z))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 t z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 t z))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 t z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 x z) t)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) z))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t))) |
(*.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) z))) |
(*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (/.f64 #s(literal -2 binary64) z) t)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (neg.f64 x) z) t)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (pow.f64 (*.f64 t z) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 (neg.f64 t) z))) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (*.f64 t z))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (neg.f64 x) t) z)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t x) z)) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (/.f64 z x)) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 z x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) z)))) |
(neg.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) x) |
(*.f64 (neg.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x)) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(*.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) |
(*.f64 x (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (neg.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))))) |
(*.f64 x #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)))) |
#s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal -2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))) |
(neg.f64 (/.f64 #s(literal -2 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
Compiled 14 605 to 1 874 computations (87.2% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 245 | 1 | 1 246 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 246 | 12 | 1 258 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.2% | (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
| ✓ | 93.0% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| ✓ | 93.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ✓ | 56.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| ✓ | 54.9% | (/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
| 58.6% | (*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) | |
| ✓ | 56.7% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| ✓ | 51.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| ✓ | 50.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
| ✓ | 51.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
| ✓ | 51.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
| ✓ | 51.8% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 284 to 182 computations (35.9% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (-.f64 y t)) |
| Outputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
7 calls:
| 22.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 7.0ms | (*.f64 x #s(literal 2 binary64)) |
| 7.0ms | t |
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | x |
| 93.6% | 1 | y |
| 95.7% | 2 | z |
| 93.6% | 1 | t |
| 99.0% | 4 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 96.1% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 97.2% | 3 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
2 calls:
| 15.0ms | (*.f64 x #s(literal 2 binary64)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | x |
| 96.0% | 2 | (*.f64 x #s(literal 2 binary64)) |
Compiled 4 to 10 computations (-150% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x) z) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) |
3 calls:
| 6.0ms | (*.f64 x #s(literal 2 binary64)) |
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 4 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 93.6% | 1 | x |
| 93.6% | 1 | (*.f64 x #s(literal 2 binary64)) |
Compiled 15 to 20 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
3 calls:
| 10.0ms | z |
| 5.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 5.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 93.6% | 1 | z |
| 93.6% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 t z) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) z) t)) |
(*.f64 (/.f64 x z) #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (* (/ -2 (- t y)) x) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) x) z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 z y (*.f64 (neg.f64 z) t))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
7 calls:
| 12.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 9.0ms | x |
| 5.0ms | (*.f64 x #s(literal 2 binary64)) |
| 5.0ms | z |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | x |
| 93.5% | 1 | y |
| 93.5% | 1 | z |
| 93.5% | 1 | t |
| 93.5% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 93.5% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 93.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
7 calls:
| 2.0ms | (*.f64 x #s(literal 2 binary64)) |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 4 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 62.8% | 2 | x |
| 77.8% | 3 | y |
| 62.5% | 4 | z |
| 74.3% | 3 | t |
| 61.1% | 3 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 62.8% | 2 | (*.f64 x #s(literal 2 binary64)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
Total -0.3b remaining (-0.9%)
Threshold costs -0.3b (-0.9%)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
7 calls:
| 5.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 x #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | z |
| 51.8% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 51.8% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 51.8% | 1 | x |
| 51.8% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 51.8% | 1 | t |
| 51.8% | 1 | y |
Compiled 25 to 39 computations (-56% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.869725464235873e+47 | 1.8442430216316428e+52 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.02614495908748e+18 | 3.57150174848568e+26 |
Compiled 14 to 17 computations (-21.4% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5946971940907443e+298 | 1.346537857971897e+305 |
| 0.0ms | -0.0 | 1e-323 |
| 0.0ms | -3.9757350161621366e-305 | -6.063122258e-315 |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.6105180173497005e-90 | 2.9492542091165e-81 |
| 12.0ms | -2.3269004258760943e-5 | -1.8912358795242587e-9 |
| 20.0ms | 272× | 0 | valid |
Compiled 286 to 357 computations (-24.8% saved)
ival-mult: 9.0ms (70.7% of total)ival-div: 2.0ms (15.7% of total)ival-sub: 1.0ms (7.9% 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 | 3.6105180173497005e-90 | 2.9492542091165e-81 |
| 1.0ms | -2.3269004258760943e-5 | -1.8912358795242587e-9 |
Compiled 286 to 357 computations (-24.8% saved)
| 1× | egg-herbie |
| 26× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 277 |
| 1 | 83 | 277 |
| 2 | 95 | 277 |
| 3 | 101 | 277 |
| 4 | 105 | 277 |
| 5 | 106 | 277 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)) |
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4000000000000000000 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 0 binary64)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) (if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1000000000000000043845843045076197354634047651840 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) x) z)) |
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4000000000000000000 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4000000000000000000 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 y t)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) x) z)) |
(if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 0 binary64)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z) (if (<=.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 y t))) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 y z) (*.f64 t z))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) x) z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z)))) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))))) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x))) |
(if (<=.f64 y #s(literal -6422418416702717/18889465931478580854784 binary64)) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 y z))) x) (if (<=.f64 y #s(literal 3203980553881365/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z)))) (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 y z))) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 t z)))) |
| 9 616× | lower-fma.f64 |
| 9 616× | lower-fma.f32 |
| 8 502× | lower-fma.f64 |
| 8 502× | lower-fma.f32 |
| 5 624× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 0 | 348 | 5843 |
| 1 | 1149 | 5554 |
| 2 | 3646 | 5319 |
| 3 | 6791 | 5309 |
| 0 | 8487 | 5144 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 431 to 222 computations (48.5% saved)
Compiled 1 500 to 480 computations (68% saved)
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