
Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 585.0ms | 8 256× | 0 | valid |
ival-mult: 174.0ms (54% of total)ival-div: 81.0ms (25.1% of total)ival-add: 51.0ms (15.8% of total)ival-true: 6.0ms (1.9% of total)exact: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 50 | 0 | - | 2 | (-3.0515690510430905e-85 -2.9890494468932265e-238 -1.0172567432000006e-33) | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/o | 11 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 93 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 10 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 93 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 9 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 59 | |
| ↳ | (*.f64 z z) | underflow | 59 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 8 | 0 |
| ↳ | (*.f64 x y) | underflow | 25 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 59 | |
| ↳ | (*.f64 z z) | underflow | 59 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 6 | 0 |
| ↳ | (*.f64 x y) | underflow | 25 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 4 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 2 |
| - | 0 | 206 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 2 |
| - | 0 | 0 | 206 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 108 to 40 computations (63% saved)
ival-mult: 10.0ms (57.2% of total)ival-div: 4.0ms (22.9% of total)ival-add: 3.0ms (17.1% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 110 |
| 1 | 149 | 102 |
| 2 | 639 | 101 |
| 3 | 3258 | 99 |
| 4 | 5642 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 34 | 11 |
| 2 | 82 | 11 |
| 3 | 180 | 11 |
| 4 | 239 | 11 |
| 5 | 243 | 11 |
| 0 | 243 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 34 | 31 |
| 2 | 82 | 31 |
| 3 | 180 | 31 |
| 4 | 239 | 31 |
| 5 | 243 | 31 |
| 0 | 243 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 z z) |
z |
(+.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
z |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.046875 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 11.706567414575817 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 20.0ms | 256× | 0 | valid |
Compiled 64 to 20 computations (68.8% saved)
ival-mult: 8.0ms (68.8% of total)ival-div: 2.0ms (17.2% of total)ival-add: 1.0ms (8.6% 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 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 3)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 2.0ms | y | @ | inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | y | @ | -inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | z | @ | -inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | y | @ | 0 | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3492 | 628 |
| 0 | 8400 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
1 |
(+ 1 z) |
(+ 1 z) |
(+ 1 z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
| Outputs |
|---|
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z)) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
z |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
z |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 x y) |
(*.f64 z z) |
(+.f64 z #s(literal 1 binary64)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
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Compiled 9 982 to 1 515 computations (84.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 16 | 577 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 561 | 17 | 578 |
| Status | Accuracy | Program |
|---|---|---|
| 87.1% | (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) | |
| 93.5% | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) | |
| ▶ | 97.4% | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
| 94.4% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| 97.4% | (/.f64 (*.f64 (*.f64 y (/.f64 x z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) z) | |
| ▶ | 92.8% | (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
| 81.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| 90.7% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| ✓ | 81.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 69.9% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 91.1% | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
| 90.6% | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) | |
| 89.8% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) | |
| 92.5% | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) | |
| ▶ | 84.4% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
| 84.5% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 74.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 351 to 267 computations (23.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (/.f64 z x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 128 | (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x (fma.f64 z z z)) | |
| cost-diff | 0 | (*.f64 y (/.f64 x (fma.f64 z z z))) | |
| cost-diff | 0 | (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 256 | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) | |
| cost-diff | 512 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 180 |
| 0 | 52 | 177 |
| 1 | 124 | 168 |
| 2 | 329 | 168 |
| 3 | 1126 | 168 |
| 4 | 3213 | 168 |
| 5 | 4504 | 168 |
| 6 | 5462 | 168 |
| 7 | 5754 | 168 |
| 8 | 5828 | 168 |
| 9 | 5836 | 168 |
| 10 | 5843 | 168 |
| 11 | 6371 | 168 |
| 12 | 6607 | 168 |
| 13 | 6607 | 168 |
| 14 | 6607 | 168 |
| 15 | 6863 | 168 |
| 16 | 7004 | 168 |
| 17 | 7120 | 168 |
| 18 | 7276 | 168 |
| 19 | 7342 | 168 |
| 20 | 7366 | 168 |
| 21 | 7382 | 168 |
| 22 | 7482 | 168 |
| 23 | 7520 | 168 |
| 24 | 7550 | 168 |
| 25 | 7550 | 168 |
| 26 | 7791 | 168 |
| 27 | 7819 | 168 |
| 28 | 7991 | 168 |
| 29 | 7991 | 168 |
| 0 | 7991 | 168 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
x |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 y z) |
y |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) |
x |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
z |
(fma.f64 z z z) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(*.f64 y (/.f64 x (fma.f64 z z z))) |
y |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 z (/.f64 z x)) |
z |
(/.f64 z x) |
x |
(+.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) z) |
(-.f64 z #s(literal -1 binary64)) |
#s(literal 1 binary64) |
z |
(/.f64 y z) |
y |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z)) |
x |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
z |
(fma.f64 z z z) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(*.f64 y (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
y |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(*.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
y |
(*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(*.f64 z (/.f64 z x)) |
(*.f64 (/.f64 z x) z) |
z |
(/.f64 z x) |
x |
(+.f64 #s(literal 1 binary64) z) |
(-.f64 z #s(literal -1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.045253759768442016 | (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.13671875 | (*.f64 z (/.f64 z x)) | |
| accuracy | 5.6744615908200435 | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.6183738047278469 | (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) | |
| accuracy | 1.8764462192862816 | (/.f64 x (fma.f64 z z z)) | |
| accuracy | 6.5121535077520365 | (*.f64 y (/.f64 x (fma.f64 z z z))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.05078125 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| accuracy | 5.335655050845918 | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| accuracy | 6.613283182945333 | (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 11.706567414575817 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 24.815106613206005 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.6183738047278469 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) | |
| accuracy | 4.58103191501285 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
| 112.0ms | 256× | 0 | valid |
Compiled 348 to 57 computations (83.6% saved)
ival-mult: 63.0ms (74.3% of total)ival-div: 15.0ms (17.7% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 x (fma.f64 z z z))) (patch (*.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) y) (patch (*.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (patch (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* x z) x))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 z z z)) (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x (fma.f64 z z z))) (patch (*.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x (fma.f64 z z z))) (patch (*.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x (fma.f64 z z z))) (patch (*.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x (fma.f64 z z z))) (patch (*.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* x z) x))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (patch (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (patch (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (patch (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (patch (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* 1 y) (* (* z (/ z x)) (+ 1 z)) (/ (* 1 y) (* (* z (/ z x)) (+ 1 z))) (* z (/ z x)) (/ x (* (neg z) (+ (* z z) z)))) |
| 8.0ms | x | @ | 0 | ((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* 1 y) (* (* z (/ z x)) (+ 1 z)) (/ (* 1 y) (* (* z (/ z x)) (+ 1 z))) (* z (/ z x)) (/ x (* (neg z) (+ (* z z) z)))) |
| 7.0ms | z | @ | inf | ((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* 1 y) (* (* z (/ z x)) (+ 1 z)) (/ (* 1 y) (* (* z (/ z x)) (+ 1 z))) (* z (/ z x)) (/ x (* (neg z) (+ (* z z) z)))) |
| 4.0ms | x | @ | inf | ((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* 1 y) (* (* z (/ z x)) (+ 1 z)) (/ (* 1 y) (* (* z (/ z x)) (+ 1 z))) (* z (/ z x)) (/ x (* (neg z) (+ (* z z) z)))) |
| 4.0ms | y | @ | -inf | ((* (/ x (+ 1 z)) (/ y z)) (/ (* (/ x (+ 1 z)) (/ y z)) z) (/ x (+ 1 z)) (+ 1 z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* 1 y) (* (* z (/ z x)) (+ 1 z)) (/ (* 1 y) (* (* z (/ z x)) (+ 1 z))) (* z (/ z x)) (/ x (* (neg z) (+ (* z z) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 4659 |
| 1 | 615 | 4389 |
| 2 | 1524 | 4270 |
| 3 | 5584 | 4207 |
| 0 | 8574 | 3945 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
x |
(+ x (* -1 (* x z))) |
(+ x (* z (- (* x z) x))) |
(+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) |
1 |
(+ 1 z) |
(+ 1 z) |
(+ 1 z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
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(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x z) |
(/ (+ x (* -1 (/ x z))) z) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) z) |
z |
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(* z (+ 1 (/ 1 z))) |
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(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
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(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
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(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
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(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (pow z 3) x) |
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(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
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(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* -1 (/ x (pow z 3))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (/ x z)) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) z)) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
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(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
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(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ x (pow z 2)) |
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(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (pow z 3) x) |
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(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
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(/ (* x y) (pow z 3)) |
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(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* -1 (/ x (pow z 3))) |
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(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3))) |
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(* x y) |
(* x y) |
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(* -1 y) |
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y |
y |
y |
y |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
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y |
y |
y |
y |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(* x y) |
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y |
y |
y |
y |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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(/ x (+ z (pow z 2))) |
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(/ (* (pow z 2) (+ 1 z)) x) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/ (* x y) (* z (+ 1 z))) |
(/ (* x y) (* z (+ 1 z))) |
(/ (* x y) (* z (+ 1 z))) |
(/ (* x y) (* z (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (+ 1 z)) |
(/ x (+ 1 z)) |
(/ x (+ 1 z)) |
(/ x (+ 1 z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ x (+ z (pow z 2))) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* (pow z 2) (+ 1 z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) z) |
x |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 z x)) |
(+ x (* z (- (* x z) x))) |
(fma.f64 (fma.f64 z x (neg.f64 x)) z x) |
(+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) |
(fma.f64 (*.f64 x (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) z x) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(-.f64 z #s(literal -1 binary64)) |
(+ 1 z) |
(-.f64 z #s(literal -1 binary64)) |
(+ 1 z) |
(-.f64 z #s(literal -1 binary64)) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 z) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* (pow z 2) (- (* -1 z) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* (pow z 2) (- (* -1 z) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(/.f64 (-.f64 x (*.f64 z x)) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/.f64 (fma.f64 (fma.f64 z x (neg.f64 x)) z x) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(/.f64 (fma.f64 (*.f64 x (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) z x) z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y (neg.f64 y)) z y))) z (*.f64 y x)) z) z) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) (-.f64 z #s(literal 1 binary64))) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) (*.f64 z z)) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z x (neg.f64 x))) (*.f64 z z)) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(*.f64 y (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z z)) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (/ x z))) z) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) z) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) z) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) z) |
z |
(* z (+ 1 (/ 1 z))) |
(-.f64 z #s(literal -1 binary64)) |
(* z (+ 1 (/ 1 z))) |
(-.f64 z #s(literal -1 binary64)) |
(* z (+ 1 (/ 1 z))) |
(-.f64 z #s(literal -1 binary64)) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (pow z 3)) |
(neg.f64 (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(*.f64 y (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ (pow z 3) x) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 x z) x)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* -1 (/ x (pow z 3))) |
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
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(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ x (+ 1 z)) |
(/.f64 x (-.f64 z #s(literal -1 binary64))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* (pow z 2) (+ 1 z)) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) z)) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 150 |
| 0 | 52 | 141 |
| 1 | 212 | 138 |
| 2 | 1419 | 138 |
| 0 | 8813 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 y) |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(*.f64 y (/.f64 x (fma.f64 z z z))) |
(/.f64 x (fma.f64 z z z)) |
(fma.f64 z z z) |
(*.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 z (/.f64 z x)) |
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) |
| Outputs |
|---|
#<batchref> |
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Compiled 43 111 to 3 914 computations (90.9% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 507 | 12 | 2 519 |
| Fresh | 5 | 6 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 516 | 20 | 2 536 |
| Status | Accuracy | Program |
|---|---|---|
| 93.5% | (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) | |
| ▶ | 94.4% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| 66.4% | (/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z) | |
| 60.7% | (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) | |
| 63.5% | (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z) | |
| 75.3% | (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) | |
| ▶ | 81.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 81.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 69.9% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 69.2% | (/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) | |
| 91.1% | (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) | |
| 89.8% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) | |
| 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 92.5% | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) | |
| ▶ | 81.5% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
| 58.3% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) | |
| ▶ | 81.2% | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
| 84.5% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ▶ | 75.2% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 74.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 377 to 302 computations (19.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 64 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 x) z) z) | |
| cost-diff | 0 | #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) | |
| cost-diff | -384 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 189 |
| 0 | 50 | 186 |
| 1 | 110 | 183 |
| 2 | 258 | 183 |
| 3 | 739 | 183 |
| 4 | 2775 | 183 |
| 5 | 3978 | 183 |
| 6 | 4548 | 183 |
| 7 | 4641 | 183 |
| 8 | 4681 | 183 |
| 9 | 4699 | 183 |
| 10 | 5723 | 183 |
| 11 | 6212 | 183 |
| 12 | 6213 | 183 |
| 13 | 6213 | 183 |
| 14 | 6213 | 183 |
| 15 | 6255 | 183 |
| 16 | 6291 | 183 |
| 17 | 6314 | 183 |
| 18 | 6314 | 183 |
| 19 | 6314 | 183 |
| 0 | 6314 | 183 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
y |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(neg.f64 y) |
y |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 x z) y) |
(*.f64 y (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 0.2238170029698616 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 11.534318548041442 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 (neg.f64 x) z) z) | |
| accuracy | 5.335655050845918 | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) | |
| accuracy | 10.265538864289976 | #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 11.706567414575817 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 5.335655050845918 | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| accuracy | 6.613283182945333 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 24.815106613206005 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 3.274853697574906 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| accuracy | 6.459832891022431 | (*.f64 (/.f64 x z) y) |
| 321.0ms | 256× | 0 | valid |
Compiled 326 to 54 computations (83.4% saved)
ival-mult: 284.0ms (93.3% of total)ival-div: 14.0ms (4.6% of total)ival-add: 3.0ms (1% of total)ival-neg: 3.0ms (1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* x z) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z z z) z) (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* x z)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor 0 z) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z 1) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* z (+ z (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (pow z 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (neg.f64 x) z) z) (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (neg x)) |
| 3.0ms | x | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (neg x)) |
| 3.0ms | x | @ | 0 | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (neg x)) |
| 2.0ms | y | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (neg x)) |
| 2.0ms | z | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 3791 |
| 1 | 584 | 3655 |
| 2 | 1578 | 3547 |
| 3 | 5637 | 3534 |
| 0 | 8131 | 3324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ -1 (pow z 2)) |
(/ (- z 1) (pow z 2)) |
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) |
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ x (pow z 3))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ -1 (pow z 3)) |
(/ (- (/ 1 z) 1) (pow z 3)) |
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/ x (pow z 3)) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ x (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ -1 (pow z 3)) |
(* -1 (/ (- 1 (/ 1 z)) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) z))) (pow z 3))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(* x y) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 z x (neg.f64 x)) z x) z) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z x) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y))) z (*.f64 y x)) (*.f64 z z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z) z) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z x (neg.f64 x))) (*.f64 z z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (-.f64 z #s(literal 1 binary64))) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ (- z 1) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) |
(-.f64 (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) #s(literal 1 binary64)) |
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) |
(/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x (pow z 3)) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ x (pow z 3))) |
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ -1 (pow z 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (/ 1 z) 1) (pow z 3)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z)) z) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/.f64 (fma.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(* -1 (/ x (pow z 2))) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 149 |
| 0 | 50 | 146 |
| 1 | 180 | 143 |
| 2 | 1035 | 143 |
| 0 | 8719 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(neg.f64 y) |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 33 301 to 3 078 computations (90.8% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 012 | 7 | 2 019 |
| Fresh | 3 | 10 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 018 | 21 | 2 039 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.5% | (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
| 62.3% | (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 66.4% | (/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z) | |
| ▶ | 60.7% | (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
| 63.5% | (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z) | |
| ✓ | 81.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| 57.8% | (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) | |
| ✓ | 81.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 69.9% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 69.2% | (/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) | |
| 91.1% | (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) | |
| ▶ | 90.7% | (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| ▶ | 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| 92.5% | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) | |
| 84.4% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| 57.8% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) | |
| 84.5% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ✓ | 75.2% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| ▶ | 81.2% | (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
| 69.4% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) | |
| 74.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 371 to 298 computations (19.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 (fma.f64 z z z) x) | |
| cost-diff | 0 | (*.f64 z (/.f64 (fma.f64 z z z) x)) | |
| cost-diff | 0 | (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| cost-diff | 0 | #s(approx (+ (* z z) z) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 (/.f64 x z) z) | |
| cost-diff | 0 | #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) | |
| cost-diff | 0 | (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| cost-diff | 0 | (*.f64 z (/.f64 z y)) | |
| cost-diff | 0 | (+.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 z #s(literal 1 binary64))) | |
| cost-diff | 512 | (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 200 |
| 0 | 48 | 201 |
| 1 | 84 | 194 |
| 2 | 145 | 194 |
| 3 | 245 | 194 |
| 4 | 454 | 194 |
| 5 | 586 | 194 |
| 6 | 656 | 194 |
| 7 | 689 | 194 |
| 8 | 703 | 194 |
| 9 | 710 | 194 |
| 0 | 710 | 194 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
(/.f64 x (+.f64 z #s(literal 1 binary64))) |
x |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(*.f64 z (/.f64 z y)) |
(/.f64 z y) |
y |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
y |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
y |
(/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) |
x |
#s(approx (+ (* z z) z) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
y |
(*.f64 z (/.f64 (fma.f64 z z z) x)) |
z |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
x |
| Outputs |
|---|
(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (+.f64 z #s(literal 1 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
x |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
z |
#s(literal 1 binary64) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
y |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
y |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 (*.f64 y x) #s(approx (+ (* z z) z) (*.f64 z z))) |
y |
(/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) |
x |
#s(approx (+ (* z z) z) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
y |
(*.f64 z (/.f64 (fma.f64 z z z) x)) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
z |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.12109375 | (*.f64 z (/.f64 (fma.f64 z z z) x)) | |
| accuracy | 1.876976010421809 | (/.f64 (fma.f64 z z z) x) | |
| accuracy | 5.6744615908200435 | (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| accuracy | 0.6183738047278469 | (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) | |
| accuracy | 1.8764462192862816 | (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) | |
| accuracy | 6.5121535077520365 | (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) | |
| accuracy | 28.896490117170845 | #s(approx (+ (* z z) z) (*.f64 z z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 x z) z) | |
| accuracy | 5.335655050845918 | (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) | |
| accuracy | 10.265538864289976 | #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 5.25102969026892 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 5.668104822507113 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| accuracy | 24.815106613206005 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (+.f64 z #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 0.1640625 | (*.f64 z (/.f64 z y)) | |
| accuracy | 4.137193898338112 | (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
| 143.0ms | 256× | 0 | valid |
Compiled 315 to 51 computations (83.8% saved)
ival-div: 103.0ms (88.2% of total)ival-mult: 11.0ms (9.4% of total)ival-add: 3.0ms (2.6% 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 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* x z) x))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (taylor 0 z) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (* y z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* y z) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* x z) x))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* x z) x))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) (taylor 0 z) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (*.f64 z z)) (patch #s(approx (+ (* z z) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 z)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 z)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 z)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 z)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 z #s(literal 1 binary64))) (patch (/.f64 x (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (patch (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) (patch #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) (patch (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) (patch (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) (patch (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (fma.f64 z z z) x)) (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (/ x (+ z 1)) (* z (/ z y))) (/ x (+ z 1)) (+ z 1) (* z (/ z y)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (/ y (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (+ (* z z) z)) |
| 3.0ms | x | @ | inf | ((/ (/ x (+ z 1)) (* z (/ z y))) (/ x (+ z 1)) (+ z 1) (* z (/ z y)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (/ y (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (+ (* z z) z)) |
| 3.0ms | x | @ | 0 | ((/ (/ x (+ z 1)) (* z (/ z y))) (/ x (+ z 1)) (+ z 1) (* z (/ z y)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (/ y (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (+ (* z z) z)) |
| 3.0ms | y | @ | -inf | ((/ (/ x (+ z 1)) (* z (/ z y))) (/ x (+ z 1)) (+ z 1) (* z (/ z y)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (/ y (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (+ (* z z) z)) |
| 2.0ms | z | @ | -inf | ((/ (/ x (+ z 1)) (* z (/ z y))) (/ x (+ z 1)) (+ z 1) (* z (/ z y)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (/ y (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (+ (* z z) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4716 |
| 1 | 671 | 4454 |
| 2 | 1617 | 4278 |
| 3 | 6115 | 4272 |
| 0 | 8303 | 3985 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
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(/ (* z (+ z (pow z 2))) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
| Outputs |
|---|
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
x |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 z x)) |
(+ x (* z (- (* x z) x))) |
(fma.f64 (-.f64 (*.f64 z x) x) z x) |
(+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z x) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) z y) z) z) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (*.f64 z x)) z) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z x) z) z) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(/.f64 (-.f64 x (*.f64 z x)) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(/.f64 (fma.f64 (fma.f64 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z x) z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) z y) x) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
(/ (pow z 2) x) |
(*.f64 (/.f64 z x) z) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ z x) |
(/.f64 z x) |
(* z (+ (/ 1 x) (/ z x))) |
(/.f64 (fma.f64 z z z) x) |
(* z (+ (/ 1 x) (/ z x))) |
(/.f64 (fma.f64 z z z) x) |
(* z (+ (/ 1 x) (/ z x))) |
(/.f64 (fma.f64 z z z) x) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (/ x z))) z) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) z) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) z) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) |
z |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ y (pow z 3)) |
(/.f64 y (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x (pow z 3)) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (pow z 3) x) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (pow z 2) x) |
(*.f64 (/.f64 z x) z) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(/.f64 (fma.f64 z z z) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(/.f64 (fma.f64 z z z) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(/.f64 (fma.f64 z z z) x) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ (+ (* -1 x) (/ x z)) z)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) z)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) |
z |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(* z (+ 1 (/ 1 z))) |
(+.f64 #s(literal 1 binary64) z) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ y (pow z 3)) |
(/.f64 y (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
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(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ x (+ 1 z)) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (* z (+ z (pow z 2))) x) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 178 |
| 0 | 48 | 179 |
| 1 | 172 | 172 |
| 2 | 1042 | 172 |
| 0 | 8365 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
(/.f64 x (+.f64 z #s(literal 1 binary64))) |
(+.f64 z #s(literal 1 binary64)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 x #s(approx (+ (* z z) z) (*.f64 z z))) |
#s(approx (+ (* z z) z) (*.f64 z z)) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 z (/.f64 (fma.f64 z z z) x)) |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
| Outputs |
|---|
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Compiled 26 015 to 3 396 computations (86.9% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 778 | 7 | 1 785 |
| Fresh | 7 | 5 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 788 | 18 | 1 806 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| ✓ | 60.7% | (/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
| 63.5% | (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z) | |
| 57.8% | (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) | |
| ✓ | 81.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 69.9% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 66.7% | (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) | |
| 81.2% | (/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) | |
| 58.9% | (/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) | |
| 84.5% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) | |
| ✓ | 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| 61.0% | (*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) | |
| 84.4% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| 57.8% | (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) | |
| ✓ | 75.2% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| ✓ | 81.2% | (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
| 74.7% | #s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) | |
| 69.4% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
Compiled 608 to 265 computations (56.4% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
6 calls:
| 16.0ms | z |
| 15.0ms | (*.f64 x y) |
| 15.0ms | x |
| 12.0ms | y |
| 10.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | y |
| 97.4% | 1 | z |
| 97.4% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 97.4% | 1 | (*.f64 x y) |
| 97.4% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (/.f64 y z)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
(/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
(/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
6 calls:
| 14.0ms | z |
| 13.0ms | (*.f64 x y) |
| 13.0ms | y |
| 12.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | x |
| 94.4% | 1 | y |
| 98.9% | 3 | z |
| 96.4% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 94.4% | 1 | (*.f64 x y) |
| 98.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
3 calls:
| 33.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 30.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 94.4% | 1 | z |
| 94.4% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 19 to 19 computations (0% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) |
1 calls:
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x))) |
2 calls:
| 13.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | x |
| 96.0% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
5 calls:
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 8.0ms | (*.f64 x y) |
| 8.0ms | y |
| 8.0ms | z |
| 7.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | y |
| 96.1% | 3 | z |
| 92.5% | 1 | (*.f64 x y) |
| 96.1% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 95.4% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
5 calls:
| 11.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | x |
| 92.5% | 1 | y |
| 92.5% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 92.5% | 1 | z |
| 92.5% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 21 to 25 computations (-19% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (*.f64 (neg.f64 x) y)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
6 calls:
| 44.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (*.f64 x y) |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | (*.f64 x y) |
| 90.1% | 2 | x |
| 90.4% | 3 | y |
| 93.5% | 3 | z |
| 91.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(approx (* (/ x (+ 1 z)) (/ y z)) (/.f64 (*.f64 y x) z)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))) |
(*.f64 (/.f64 y z) (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) |
(/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y (/.f64 x #s(approx (+ (* z z) z) (*.f64 z z)))) z) |
| Outputs |
|---|
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
2 calls:
| 20.0ms | z |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 3 | z |
| 93.2% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| Outputs |
|---|
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
5 calls:
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | x |
| 89.0% | 2 | (*.f64 x y) |
| 89.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 90.5% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 90.5% | 3 | z |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
(*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
6 calls:
| 7.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 1 | y |
| 88.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 88.6% | 3 | z |
| 81.2% | 1 | (*.f64 x y) |
| 84.9% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 81.2% | 1 | x |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ x (+ z 1)) (* z (/ z y))) (*.f64 (/.f64 y z) (/.f64 x z))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
2 calls:
| 3.0ms | z |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | z |
| 87.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
6 calls:
| 5.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 1 | y |
| 75.2% | 1 | x |
| 75.2% | 1 | (*.f64 x y) |
| 79.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 82.5% | 3 | z |
| 82.5% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
Total -5.1b remaining (-32%)
Threshold costs -5.1b (-32%)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| Outputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
4 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 2.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 1 | x |
| 75.2% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 75.2% | 1 | z |
| 75.2% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 20 to 22 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.829882666222791e+42 | 5.2775496109306666e+54 |
| 0.0ms | -1.809945465742824e+70 | -1.0698539498551277e+25 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0800871601284588e-174 | 4.093343324984171e-155 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1075935813821905e-282 | 5.416751408749126e-260 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0800871601284588e-174 | 4.093343324984171e-155 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1075935813821905e-282 | 5.416751408749126e-260 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.3803828806278376e-49 | 1.6295271127118574e-48 |
| 0.0ms | -4375818746903094.0 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.2444082989373003e-54 | 1.0656038127965626e-47 |
| 13.0ms | -1.3191090794336355e-14 | -2.561161160415467e-22 |
| 17.0ms | 288× | 0 | valid |
Compiled 356 to 321 computations (9.8% saved)
ival-mult: 7.0ms (67% of total)ival-div: 2.0ms (19.1% of total)ival-add: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.889945954160731e-163 | 4.232543459031811e-163 |
| 4.0ms | 80× | 0 | valid |
Compiled 104 to 95 computations (8.7% saved)
ival-div: 1.0ms (39.2% of total)ival-mult: 1.0ms (39.2% of total)ival-true: 0.0ms (0% of total)ival-add: 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 |
|---|---|---|
| 9.0ms | 9.598797141239803e-5 | 0.0012886442955785658 |
| 17.0ms | -163563.85078005985 | -2.976502799630726e-8 |
| 14.0ms | 256× | 0 | valid |
Compiled 302 to 287 computations (5% saved)
ival-mult: 5.0ms (60.9% of total)ival-div: 2.0ms (24.3% of total)ival-add: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.214575059342619e-9 | 1.6627440485543097e-6 |
| 0.0ms | -4375818746903094.0 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.214575059342619e-9 | 1.6627440485543097e-6 |
| 0.0ms | -4375818746903094.0 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 583 |
| 1 | 130 | 583 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000069686058479707049565356032 binary64)) (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 z #s(literal -1552871985279581/316912650057057350374175801344 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 x #s(literal 3728080393916517/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 z #s(literal 5764607523034235/4611686018427387904 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z #s(literal 1 binary64)))) z) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000069686058479707049565356032 binary64)) (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 (/.f64 z y) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5000000000000000069686058479707049565356032 binary64)) (/.f64 y (*.f64 (*.f64 (/.f64 z x) z) (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(approx (/ x (+ z 1)) (/.f64 x z)) (*.f64 (/.f64 z y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 (*.f64 (/.f64 z x) z) (+.f64 z #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 4455508415646675/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 y (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 z #s(literal -1552871985279581/316912650057057350374175801344 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 z #s(literal -1552871985279581/316912650057057350374175801344 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 x #s(literal 3728080393916517/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 x #s(literal 3728080393916517/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 z #s(literal 5764607523034235/4611686018427387904 binary64)) (*.f64 y #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 z #s(literal 5764607523034235/4611686018427387904 binary64)) (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -4000000000000000 binary64)) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3492 | 628 |
| 0 | 8400 | 593 |
| 0 | 30 | 150 |
| 0 | 52 | 141 |
| 1 | 212 | 138 |
| 2 | 1419 | 138 |
| 0 | 8813 | 138 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 0 | 227 | 4716 |
| 1 | 671 | 4454 |
| 2 | 1617 | 4278 |
| 3 | 6115 | 4272 |
| 0 | 8303 | 3985 |
| 0 | 192 | 3791 |
| 1 | 584 | 3655 |
| 2 | 1578 | 3547 |
| 3 | 5637 | 3534 |
| 0 | 8131 | 3324 |
| 0 | 32 | 149 |
| 0 | 50 | 146 |
| 1 | 180 | 143 |
| 2 | 1035 | 143 |
| 0 | 8719 | 143 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 252 to 577 computations (53.9% saved)
Compiled 2 214 to 772 computations (65.1% saved)
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