
Time bar (total: 9.8s)
| 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)
| 539.0ms | 8 256× | 0 | valid |
ival-mult: 182.0ms (59.4% of total)ival-add: 60.0ms (19.6% of total)ival-div: 50.0ms (16.3% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 52 | 0 | - | 0 | - | (/.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)))) | o/o | 14 | 0 |
| ↳ | (*.f64 x y) | overflow | 37 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 89 | |
| ↳ | (*.f64 z z) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 10 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 65 | |
| ↳ | (*.f64 z z) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 8 | 0 |
| ↳ | (*.f64 x y) | underflow | 30 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 8 | 0 |
| ↳ | (*.f64 x y) | underflow | 30 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 65 | |
| ↳ | (*.f64 z z) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/o | 7 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 89 | |
| ↳ | (*.f64 z z) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 52 | 0 |
| - | 0 | 204 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 52 | 0 | 0 |
| - | 0 | 0 | 204 |
| number | freq |
|---|---|
| 0 | 204 |
| 1 | 52 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 36.0ms (83.6% of total)ival-div: 3.0ms (7% of total)ival-add: 3.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 692× | times-frac |
| 1 056× | div-sub |
| 922× | unsub-neg |
| 878× | distribute-frac-neg |
| 854× | distribute-frac-neg2 |
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 |
|---|---|---|
| ▶ | 80.6% | (/.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))) |
| 120× | times-frac |
| 114× | lower-*.f32 |
| 108× | lower-*.f64 |
| 108× | lower-/.f32 |
| 106× | lower-/.f64 |
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 | 12.298560244826422 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 34.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 24.0ms (90.2% of total)ival-div: 1.0ms (3.8% of total)ival-add: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 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 | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | ((* (* 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 | x | @ | -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 |
| 23 166× | lower-fma.f64 |
| 23 166× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 1 786× | div-sub |
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)) |
| 4 934× | lower-*.f32 |
| 4 928× | lower-*.f64 |
| 4 476× | lower-/.f32 |
| 4 474× | lower-/.f64 |
| 2 374× | lower-fma.f64 |
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 |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 z)) (fma.f64 z z z)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 z z z))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(*.f64 (fma.f64 z z z) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z))) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z z) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (neg.f64 z) z))) |
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 z (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 z (neg.f64 (neg.f64 (fma.f64 z z z)))) |
(*.f64 z (fma.f64 z z z)) |
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) (*.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (*.f64 #s(literal 1 binary64) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 5 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) (fma.f64 z z z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 z z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (pow.f64 z #s(literal 3 binary64))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) |
(fma.f64 (*.f64 z z) z (*.f64 z z)) |
(fma.f64 z (*.f64 z z) (*.f64 z z)) |
(fma.f64 z z (pow.f64 z #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z z) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(exp.f64 (neg.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log1p.f64 z)) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (*.f64 (neg.f64 z) z))) |
(+.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)) |
(+.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (neg.f64 (neg.f64 y)) x) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y (*.f64 x #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 x (neg.f64 (neg.f64 y))) |
(*.f64 x (*.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 z z) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64)))) |
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(+.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z) (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z))) |
Compiled 9 982 to 1 515 computations (84.8% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 14 | 577 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 563 | 15 | 578 |
| Status | Accuracy | Program |
|---|---|---|
| 91.9% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| 91.6% | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) | |
| 92.3% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| 80.6% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ▶ | 91.2% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| 92.8% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) | |
| ✓ | 80.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 68.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 88.8% | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
| 92.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z z) (*.f64 y (/.f64 x z)))) | |
| ▶ | 94.8% | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
| 84.1% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 83.5% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ▶ | 60.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 75.4% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 307 to 235 computations (23.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| cost-diff | 320 | (*.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 (fma.f64 z z z) y) | |
| cost-diff | 0 | (*.f64 z (/.f64 (fma.f64 z z z) y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 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 x z) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
| 4 554× | lower-*.f32 |
| 4 538× | lower-*.f64 |
| 4 394× | lower-fma.f32 |
| 4 392× | lower-fma.f64 |
| 2 094× | lower-neg.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 183 |
| 0 | 47 | 179 |
| 1 | 106 | 176 |
| 2 | 283 | 176 |
| 3 | 858 | 176 |
| 4 | 1858 | 174 |
| 5 | 3060 | 172 |
| 6 | 5577 | 172 |
| 0 | 8638 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 x z) |
x |
(/.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 |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y x) |
y |
x |
(*.f64 z z) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
x |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
z |
(/.f64 (fma.f64 z z z) y) |
(fma.f64 z z z) |
y |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.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 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 x z) |
x |
(/.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 |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 z z) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
x |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
(*.f64 (/.f64 (fma.f64 z z z) y) z) |
z |
(/.f64 (fma.f64 z z z) y) |
(fma.f64 z z z) |
y |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y #s(literal 1 binary64)) |
y |
y |
#s(literal 1 binary64) |
(*.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 | (*.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (*.f64 z (/.f64 (fma.f64 z z z) x)) | |
| accuracy | 1.6907209005641197 | (/.f64 (fma.f64 z z z) x) | |
| accuracy | 5.576138138864793 | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.1171875 | (*.f64 z (/.f64 (fma.f64 z z z) y)) | |
| accuracy | 5.4711101677736895 | (/.f64 (fma.f64 z z z) y) | |
| accuracy | 5.915223530475289 | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 2.6812824957977566 | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) | |
| accuracy | 16.909375633114678 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) | |
| accuracy | 21.57793241714748 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 12.298560244826422 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 23.992896543117105 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 1.4095531295329522 | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) | |
| accuracy | 5.612918550092673 | (/.f64 y (fma.f64 z z z)) |
| 81.0ms | 256× | 0 | valid |
Compiled 176 to 26 computations (85.2% saved)
ival-div: 31.0ms (64.3% of total)ival-mult: 13.0ms (27% of total)ival-add: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% 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 y (fma.f64 z z z)) (/.f64 x z)) (patch (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (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 x z) (patch (/.f64 x 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 (fma.f64 z z z) y)) (patch (*.f64 z (/.f64 (fma.f64 z z z) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z z z) y) (patch (/.f64 (fma.f64 z z z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1 binary64)) (patch (*.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.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 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (patch (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (patch (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (patch (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x 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 (fma.f64 z z z)) (/.f64 x z)) (patch (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (* y z))) z) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* y z) y))) z) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z z z)) (patch (/.f64 y (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 (/ 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 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
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#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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (patch (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.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 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.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 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.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 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.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 (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ (* (- 1 z) (* y x)) (* z z))) |
| 6.0ms | x | @ | -inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ (* (- 1 z) (* y x)) (* z z))) |
| 4.0ms | y | @ | -inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ (* (- 1 z) (* y x)) (* z z))) |
| 3.0ms | y | @ | 0 | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ (* (- 1 z) (* y x)) (* z z))) |
| 3.0ms | z | @ | 0 | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (- 1 z) (* y x)) (- 1 z) (* y x) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ (* (- 1 z) (* y x)) (* z z))) |
| 1× | egg-herbie |
| 12 154× | lower-fma.f64 |
| 12 154× | lower-fma.f32 |
| 3 860× | lower-*.f64 |
| 3 860× | lower-*.f32 |
| 1 880× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 4736 |
| 1 | 495 | 4424 |
| 2 | 1241 | 4058 |
| 3 | 4812 | 4016 |
| 0 | 8271 | 3760 |
| 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)) |
(/ y z) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(* x y) |
(+ (* -1 (* x (* y z))) (* x y)) |
(+ (* -1 (* x (* y z))) (* x y)) |
(+ (* -1 (* x (* y z))) (* x y)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -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) y) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(/ z y) |
(* z (+ (/ 1 y) (/ z y))) |
(* z (+ (/ 1 y) (/ z y))) |
(* z (+ (/ 1 y) (/ z y))) |
(/ (* 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) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(/ z x) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (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)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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) |
(/ (* 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 (* y z))) |
(* z (+ (* -1 (* x y)) (/ (* x y) z))) |
(* z (+ (* -1 (* x y)) (/ (* x y) z))) |
(* z (+ (* -1 (* x y)) (/ (* x y) z))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(/ (* 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) y) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y 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) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) 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))) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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 (/ (- (/ (* 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))) |
(* -1 (* x (* y z))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* x y)))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 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))) |
(/ (pow z 3) y) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y 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))) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(/ (* 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
y |
y |
y |
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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
y |
y |
y |
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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
y |
y |
y |
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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 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 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 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 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 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 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 (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 1 z))) |
(* x (* y (- 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)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
| Outputs |
|---|
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.f64 z z)) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* y z))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) y) |
(/ (+ y (* z (- (* y z) y))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) 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 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 (/.f64 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.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) |
(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 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.f64 z z)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x (* y z))) (* x y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(+ (* -1 (* x (* y z))) (* x y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(+ (* -1 (* x (* y z))) (* x y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.f64 z z)) |
(/ (pow z 2) y) |
(*.f64 (/.f64 z y) z) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(/.f64 (*.f64 (fma.f64 z z z) z) y) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(/.f64 (*.f64 (fma.f64 z z z) z) y) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(/.f64 (*.f64 (fma.f64 z z z) z) y) |
(/ z y) |
(/.f64 z y) |
(* z (+ (/ 1 y) (/ z y))) |
(/.f64 (fma.f64 z z z) y) |
(* z (+ (/ 1 y) (/ z y))) |
(/.f64 (fma.f64 z z z) y) |
(* z (+ (/ 1 y) (/ z y))) |
(/.f64 (fma.f64 z z z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* 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 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.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) z) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ 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) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* 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 y (-.f64 x (/.f64 x 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 y (/.f64 (-.f64 y (/.f64 y z)) z))) (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 2)) |
(/.f64 (/.f64 y z) z) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (*.f64 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 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 x (pow.f64 z #s(literal 3 binary64))) y) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x 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 y (/.f64 (-.f64 y (/.f64 y z)) z))) (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)) |
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(/.f64 (fma.f64 z z z) x) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
| 5 354× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 4 594× | lower-/.f32 |
| 4 578× | lower-/.f64 |
| 4 492× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 155 |
| 0 | 47 | 151 |
| 1 | 195 | 148 |
| 2 | 1238 | 148 |
| 0 | 8313 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(/.f64 x 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) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 y x) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
(/.f64 (fma.f64 z z z) y) |
(*.f64 y #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.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) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) z))) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 #s(literal 1 binary64) z))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 z (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(*.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z))) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 x z))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) z))) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) x)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z z))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (fma.f64 z z z))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 x) (fma.f64 z z z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z))) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (*.f64 (/.f64 y z) x)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 z z z)) y)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) (*.f64 x y)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y z) (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 z #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (/.f64 x z))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z))) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (fma.f64 z z z)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z))) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(*.f64 (*.f64 x y) (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x z) (*.f64 (/.f64 y z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(*.f64 x (*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 y (*.f64 (/.f64 (/.f64 x z) z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 x z) z))) |
(*.f64 y (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)))) |
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 z #s(literal 1 binary64)))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (-.f64 z #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) z) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) (/.f64 (neg.f64 (fma.f64 z z z)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) (/.f64 (fma.f64 z z z) x)) |
(/.f64 (*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (fma.f64 z z (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (fma.f64 z z z))))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 #s(literal 1 binary64) z))) z) |
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 z z z)) x)) |
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(fma.f64 (*.f64 (/.f64 y z) x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (*.f64 (/.f64 y z) x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y z) x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y z) x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y) (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 z) y) x))) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y) (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) z))) |
(fma.f64 (/.f64 y z) (/.f64 x z) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (/.f64 y z) (/.f64 x z) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 y z) (/.f64 x z) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 y z) (/.f64 x z) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (/.f64 (/.f64 x z) z) y (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (/.f64 (/.f64 x z) z) y (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (/.f64 x z) z) y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (/.f64 x z) z) y (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z)) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z)) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x y) (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 x (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 x (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x z)) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x z)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x z)) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(fma.f64 y (/.f64 (/.f64 x z) z) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(fma.f64 y (/.f64 (/.f64 x z) z) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 y (/.f64 (/.f64 x z) z) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 y (/.f64 (/.f64 x z) z) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) (pow.f64 z #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) (pow.f64 z #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 z x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y)) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z)) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(+.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 z) y) x))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 x y)) (*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) z))) |
(+.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (neg.f64 z) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(+.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (pow.f64 z #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (pow.f64 z #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (*.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (neg.f64 z))) |
Compiled 42 320 to 4 718 computations (88.9% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 500 | 13 | 2 513 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 507 | 21 | 2 528 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.9% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
| 91.6% | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) | |
| 91.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| 80.6% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ▶ | 81.4% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
| ✓ | 80.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 68.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 68.6% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) | |
| 65.5% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) | |
| 63.4% | (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) | |
| 69.9% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 84.1% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ▶ | 83.5% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
| 66.4% | (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) | |
| ▶ | 75.4% | (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
| 75.0% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| 80.9% | #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) | |
| 58.1% | #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) | |
| ✓ | 60.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 62.5% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) | |
| ▶ | 30.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
Compiled 383 to 314 computations (18% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) | |
| cost-diff | 0 | (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) | |
| cost-diff | 320 | (*.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 256 | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| cost-diff | 512 | (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
| 6 642× | lower-fma.f32 |
| 6 640× | lower-fma.f64 |
| 2 674× | lower-*.f32 |
| 2 660× | lower-*.f64 |
| 1 574× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 222 |
| 0 | 61 | 217 |
| 1 | 137 | 213 |
| 2 | 376 | 213 |
| 3 | 1527 | 211 |
| 4 | 3359 | 209 |
| 5 | 5059 | 209 |
| 6 | 7001 | 209 |
| 0 | 8098 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) z)) |
y |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 x) |
x |
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) |
y |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
z |
(fma.f64 z z z) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
z |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
x |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/.f64 y (+.f64 #s(literal 1 binary64) z)) |
(/.f64 y (-.f64 z #s(literal -1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) z) |
(-.f64 z #s(literal -1 binary64)) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(neg.f64 x) |
x |
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 z z)) |
y |
(*.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 #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
(*.f64 y #s(literal 1 binary64)) |
y |
y |
#s(literal 1 binary64) |
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) |
z |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) | |
| accuracy | 5.576138138864793 | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) | |
| accuracy | 25.64050441603427 | #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.046875 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| accuracy | 5.676411894736186 | (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) | |
| accuracy | 6.212207392372961 | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 1.4095531295329522 | (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) | |
| accuracy | 29.02376193913085 | #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.052047612264252 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| accuracy | 21.57793241714748 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) | |
| accuracy | 27.150863070344396 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 1.711509623686047 | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| accuracy | 3.498786791029814 | (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
| 65.0ms | 256× | 0 | valid |
Compiled 187 to 37 computations (80.2% saved)
ival-div: 21.0ms (45.6% of total)ival-mult: 17.0ms (36.9% of total)ival-add: 4.0ms (8.7% of total)ival-neg: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (patch #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<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 y #s(literal 1 binary64)) (patch (*.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) 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 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) 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 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) 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 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (patch (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (* y z))) (* x y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (- (* y z) y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 x) z) y) (patch (*.f64 (/.f64 (neg.f64 x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x 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 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (patch #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (patch #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* y z) y))) z) (taylor 0 z) (#s(alt #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (patch #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) (taylor 0 z) (#s(alt #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (patch #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y 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 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.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 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.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 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.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 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.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>) () ())) ()) |
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#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) (patch (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.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 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 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<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>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (pow z 2)) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (patch #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ x z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ z x) (/ y (* (neg z) (+ (* z z) z))) (/ (* y 1) (* z (/ (+ (* z z) z) x)))) |
| 6.0ms | y | @ | 0 | ((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ x z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ z x) (/ y (* (neg z) (+ (* z z) z))) (/ (* y 1) (* z (/ (+ (* z z) z) x)))) |
| 5.0ms | y | @ | -inf | ((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ x z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ z x) (/ y (* (neg z) (+ (* z z) z))) (/ (* y 1) (* z (/ (+ (* z z) z) x)))) |
| 5.0ms | x | @ | -inf | ((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ x z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ z x) (/ y (* (neg z) (+ (* z z) z))) (/ (* y 1) (* z (/ (+ (* z z) z) x)))) |
| 5.0ms | y | @ | inf | ((/ (* (/ y (+ 1 z)) x) z) (/ (/ (* (/ y (+ 1 z)) x) z) z) (* (/ y (+ 1 z)) x) (/ y (+ 1 z)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (/ y z) (/ x z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ z x) (/ y (* (neg z) (+ (* z z) z))) (/ (* y 1) (* z (/ (+ (* z z) z) x)))) |
| 1× | egg-herbie |
| 14 528× | lower-fma.f64 |
| 14 528× | lower-fma.f32 |
| 4 424× | lower-*.f64 |
| 4 424× | lower-*.f32 |
| 1 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 5418 |
| 1 | 607 | 5121 |
| 2 | 1521 | 4834 |
| 3 | 5055 | 4678 |
| 0 | 8282 | 4460 |
| 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 y) |
(+ (* -1 (* x (* y z))) (* x y)) |
(+ (* x y) (* z (- (* x (* y z)) (* x y)))) |
(+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (- (* y z) y))) |
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) |
(/ (* 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)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x 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)) |
(/ y z) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(* -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) |
(/ (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))) |
(/ z x) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* y z)) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (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)) |
(/ (* 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 y) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) z) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) z) |
(/ y z) |
(/ (+ y (* -1 (/ y z))) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) 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)) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x 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)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 (/ y (pow z 3))) |
(/ (+ (* -1 y) (/ y z)) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (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)) |
(/ (* 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 y) z) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) z)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) z)) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (/ y z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) 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))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x 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))) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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))) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 (/ y (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) 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))) |
(/ (* 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(/ (* 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* 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)))) |
y |
y |
y |
y |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ 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 (+ 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(/ (* 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* 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)))) |
y |
y |
y |
y |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ 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 (+ 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 1 z)) |
(/ y (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(/ (* 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)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* 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)))) |
y |
y |
y |
y |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ 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 (+ 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* 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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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 (+ 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* 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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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 (+ 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 y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 1 z)) |
(/ (* x y) (+ 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* 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 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* 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) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z 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)))) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(*.f64 x (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) 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 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x (* y z))) (* x y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) |
(+ (* x y) (* z (- (* x (* y z)) (* x y)))) |
(*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) |
y |
(+ y (* -1 (* y z))) |
(-.f64 y (*.f64 z y)) |
(+ y (* z (- (* y z) y))) |
(fma.f64 (-.f64 (*.f64 z y) y) z y) |
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 y (*.f64 z y))) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) 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 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 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 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* y z))) z) |
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(/ (+ y (* z (- (* y z) y))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 y (*.f64 z y))) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y 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 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 z) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
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(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ 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 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z 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) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ 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 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z 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) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* z (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ 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 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/ (* z (+ z (pow z 2))) x) |
(/.f64 (*.f64 (fma.f64 z 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) |
(/ (+ z (pow z 2)) x) |
(/.f64 (fma.f64 z z z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 4 504× | lower-/.f32 |
| 4 486× | lower-/.f64 |
| 3 918× | lower-fma.f32 |
| 3 916× | lower-fma.f64 |
| 3 834× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 196 |
| 0 | 61 | 191 |
| 1 | 249 | 187 |
| 2 | 1635 | 187 |
| 0 | 8568 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 x z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 x) |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 x) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 x z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 y (+.f64 z #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 x z) y) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 x z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) (fma.f64 z z z))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z z))) |
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (fma.f64 z z z))) |
(*.f64 (*.f64 x y) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (/.f64 y (+.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (fma.f64 z z z)))) |
(*.f64 y (/.f64 x (fma.f64 z z z))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 z z z) y) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 z) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (/.f64 (-.f64 #s(literal -1 binary64) z) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) (/.f64 (neg.f64 z) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 x y)) (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 x z) y) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) x) (neg.f64 z)) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 z x))) |
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal -1 binary64) z) z)) |
(/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 (-.f64 #s(literal -1 binary64) z) y)) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) y) z)) |
(/.f64 (*.f64 x y) (fma.f64 z z z)) |
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (/.f64 y (+.f64 z #s(literal 1 binary64)))) z) |
(/.f64 x (/.f64 (fma.f64 z z z) y)) |
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 z x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 x y)) (-.f64 #s(literal -1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 z (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 z x)) (neg.f64 y))) |
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(/.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 z (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 z) x))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 z) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 z))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) z)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) z))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(neg.f64 (/.f64 (neg.f64 z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x)) |
(+.f64 #s(literal 0 binary64) (/.f64 z x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) (fma.f64 z z z)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) (fma.f64 z z z)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z z (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 y (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (fma.f64 z z z))) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (fma.f64 z z z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) z)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) z)) y) |
(*.f64 (neg.f64 y) (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (fma.f64 z z z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) z))) |
(pow.f64 (*.f64 (/.f64 (neg.f64 z) y) (fma.f64 z z z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) z) |
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z z z) y)) |
(/.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 z z z) y) z)) |
(/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (/.f64 y z) (*.f64 (-.f64 #s(literal -1 binary64) z) z)) |
(/.f64 (/.f64 y (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 y) (fma.f64 z z z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) y) (fma.f64 z z z))) |
(/.f64 y (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(neg.f64 (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(fma.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (*.f64 (neg.f64 z) (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z z) z)) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (neg.f64 z) y) (fma.f64 z z z))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (neg.f64 z) (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (*.f64 z z)) (*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))) |
(*.f64 (/.f64 y z) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) z) |
(/.f64 (neg.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64))) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (neg.f64 z)) |
(/.f64 (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) z) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 (neg.f64 y) (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z))) |
(/.f64 (/.f64 y z) (neg.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (/.f64 (neg.f64 z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(neg.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z))) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #s(literal -1 binary64))) |
Compiled 21 694 to 2 595 computations (88% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 496 | 10 | 1 506 |
| Fresh | 4 | 9 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 504 | 23 | 1 527 |
| Status | Accuracy | Program |
|---|---|---|
| 65.5% | (/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) | |
| ▶ | 91.6% | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
| 91.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| 71.7% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| 80.6% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ✓ | 80.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 68.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 81.4% | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) | |
| ▶ | 68.6% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
| 65.5% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) | |
| 83.5% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| 63.4% | (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) | |
| 69.9% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 71.7% | (*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) | |
| ▶ | 67.8% | (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
| 84.1% | (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) | |
| 75.0% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| 80.9% | #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) | |
| ✓ | 60.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 25.3% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) | |
| ▶ | 31.4% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
| ✓ | 30.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
| ▶ | 28.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
Compiled 387 to 326 computations (15.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 y) z) z) | |
| cost-diff | 0 | #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) | |
| cost-diff | -384 | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) | |
| cost-diff | 0 | (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) | |
| cost-diff | 384 | (/.f64 (neg.f64 y) (/.f64 z x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) | |
| cost-diff | 0 | (*.f64 z (/.f64 z y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 512 | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
| 3 938× | lower-fma.f64 |
| 3 938× | lower-fma.f32 |
| 3 678× | lower-*.f32 |
| 3 670× | lower-*.f64 |
| 1 542× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 254 |
| 0 | 56 | 254 |
| 1 | 132 | 254 |
| 2 | 320 | 254 |
| 3 | 798 | 252 |
| 4 | 1732 | 244 |
| 5 | 2860 | 244 |
| 6 | 4963 | 244 |
| 0 | 8204 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
x |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 z (/.f64 z y)) |
(/.f64 z y) |
y |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
z |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
x |
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) |
z |
#s(approx (/ (+ (* z z) z) y) (/.f64 z y)) |
(/.f64 z y) |
y |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(neg.f64 x) |
x |
#s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.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 z (/.f64 z y)) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
y |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
z |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) |
x |
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) |
(*.f64 #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) z) |
z |
#s(approx (/ (+ (* z z) z) y) (/.f64 z y)) |
(/.f64 z y) |
y |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 (neg.f64 y) z) z) | |
| accuracy | 6.212207392372961 | (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) | |
| accuracy | 19.7515946714841 | #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.1171875 | (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) | |
| accuracy | 5.915223530475289 | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) | |
| accuracy | 30.049504882853494 | #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.729237050782504 | (/.f64 (neg.f64 y) (/.f64 z x)) | |
| accuracy | 21.57793241714748 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) | |
| accuracy | 27.150863070344396 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 6.46161359996019 | (*.f64 (neg.f64 x) (/.f64 y z)) | |
| accuracy | 21.57793241714748 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) | |
| accuracy | 27.150863070344396 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.12890625 | (*.f64 z (/.f64 z y)) | |
| accuracy | 5.374699861546975 | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
| 80.0ms | 256× | 0 | valid |
Compiled 178 to 36 computations (79.8% saved)
ival-div: 29.0ms (47.7% of total)ival-mult: 23.0ms (37.8% of total)ival-add: 4.0ms (6.6% of total)ival-neg: 3.0ms (4.9% of total)ival-sub: 1.0ms (1.6% 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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) #<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 z (/.f64 z y)) (patch (*.f64 z (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 y z)) (patch (*.f64 (neg.f64 x) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) (/.f64 z x)) (patch (/.f64 (neg.f64 y) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) (patch (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) (patch #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) (patch (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) (patch #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (neg.f64 y) z) z) (patch (/.f64 (/.f64 (neg.f64 y) z) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) #<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 (/ (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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y 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 #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.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 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 z)) (taylor -inf x) (#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 z)) (taylor -inf x) (#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 z)) (taylor -inf x) (#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 z)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y z)) (patch (*.f64 (neg.f64 x) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y z)) (patch (*.f64 (neg.f64 x) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y z)) (patch (*.f64 (neg.f64 x) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 y z)) (patch (*.f64 (neg.f64 x) (/.f64 y z)) #<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>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (/.f64 z x)) (patch (/.f64 (neg.f64 y) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (/.f64 z x)) (patch (/.f64 (neg.f64 y) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (/.f64 z x)) (patch (/.f64 (neg.f64 y) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (/.f64 z x)) (patch (/.f64 (neg.f64 y) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- 1 z))) (pow z 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) (patch (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) (patch (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) (patch (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) (patch (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) (patch (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((/ (/ x (+ 1 z)) (* z (/ z y))) (/ x (+ 1 z)) (+ 1 z) (* z (/ z y)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (neg x) (/ y z)) (neg x) (/ (neg y) (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (neg y) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z)) |
| 4.0ms | y | @ | 0 | ((/ (/ x (+ 1 z)) (* z (/ z y))) (/ x (+ 1 z)) (+ 1 z) (* z (/ z y)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (neg x) (/ y z)) (neg x) (/ (neg y) (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (neg y) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z)) |
| 3.0ms | y | @ | inf | ((/ (/ x (+ 1 z)) (* z (/ z y))) (/ x (+ 1 z)) (+ 1 z) (* z (/ z y)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (neg x) (/ y z)) (neg x) (/ (neg y) (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (neg y) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z)) |
| 3.0ms | x | @ | -inf | ((/ (/ x (+ 1 z)) (* z (/ z y))) (/ x (+ 1 z)) (+ 1 z) (* z (/ z y)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (neg x) (/ y z)) (neg x) (/ (neg y) (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (neg y) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z)) |
| 3.0ms | x | @ | inf | ((/ (/ x (+ 1 z)) (* z (/ z y))) (/ x (+ 1 z)) (+ 1 z) (* z (/ z y)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (neg x) (/ y z)) (neg x) (/ (neg y) (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (neg y) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (/ x (* z (/ (+ (* z z) z) y))) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (/ y (* (neg z) (+ (* z z) z))) (/ (/ (neg y) z) z)) |
| 1× | egg-herbie |
| 11 542× | lower-fma.f64 |
| 11 542× | lower-fma.f32 |
| 4 306× | lower-*.f64 |
| 4 306× | lower-*.f32 |
| 1 898× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 5084 |
| 1 | 544 | 4753 |
| 2 | 1388 | 4527 |
| 3 | 5497 | 4311 |
| 0 | 8135 | 4123 |
| 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 |
(+ 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) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (* 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)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(* (pow z 2) (+ (/ 1 y) (/ z y))) |
(/ z y) |
(* z (+ (/ 1 y) (/ z y))) |
(* z (+ (/ 1 y) (/ z y))) |
(* z (+ (/ 1 y) (/ z y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* y z)) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2)) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (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 |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (* 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 y) z)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) 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)) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(/ (pow z 3) y) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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 (/ y (pow z 3))) |
(/ (+ (* -1 y) (/ y z)) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3)) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ 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))) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (* 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))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) 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))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) |
(/ (pow z 3) y) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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 (/ y (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(/ (* 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) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z 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 (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(/ (* 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) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z 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 (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(/ (* 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) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (* z (+ z (pow z 2))) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ (+ z (pow z 2)) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z 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 (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(* -1 (/ y (pow z 2))) |
(/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 (+ z (pow z 2)))) |
(/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 (+ z (pow z 2)))) |
(/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* 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 (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(/ (* x (* y (- 1 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 (+ z (pow z 2)))) |
| Outputs |
|---|
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) (fma.f64 z z #s(literal 1 binary64))) (*.f64 z z)) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (fma.f64 z z #s(literal 1 binary64))) |
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 y) z) |
(/ (pow z 2) y) |
(*.f64 (/.f64 z y) z) |
(/ (pow z 2) y) |
(*.f64 (/.f64 z y) z) |
(/ (pow z 2) y) |
(*.f64 (/.f64 z y) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y) (fma.f64 z z #s(literal 1 binary64))) (*.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 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
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(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (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 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (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 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 5 040× | lower-fma.f64 |
| 5 040× | lower-fma.f32 |
| 4 466× | lower-*.f32 |
| 4 458× | lower-*.f64 |
| 3 916× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 221 |
| 0 | 56 | 221 |
| 1 | 243 | 221 |
| 2 | 1654 | 219 |
| 0 | 8864 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
(*.f64 z (/.f64 z y)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(neg.f64 x) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x))) |
(neg.f64 y) |
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))) |
#s(approx (/ (+ (* z z) z) y) (/.f64 z y)) |
(/.f64 z y) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
#s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) z) z) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (/.f64 x (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (/.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (neg.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal 1 binary64)) (/.f64 x (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 z #s(literal 1 binary64))) x) y) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (fma.f64 z z (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) x) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 y) z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (neg.f64 y)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) z) z)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (pow.f64 z #s(literal -2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 z z z)) z)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y) x) #s(literal 1 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) z))) |
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(/.f64 y (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -2 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (neg.f64 z) z) y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) z) z)) |
Compiled 17 455 to 2 017 computations (88.4% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 257 | 2 | 1 259 |
| Fresh | 1 | 13 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 259 | 23 | 1 282 |
| Status | Accuracy | Program |
|---|---|---|
| 65.5% | (/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) | |
| 91.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| 71.7% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| 80.6% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ✓ | 80.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 68.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 66.4% | (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) | |
| 81.4% | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) | |
| ✓ | 68.6% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
| 65.5% | (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) | |
| 83.5% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| 63.4% | (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) | |
| 69.9% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 71.7% | (*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) | |
| ✓ | 67.8% | (*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
| 84.1% | (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) | |
| 75.0% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| 80.9% | #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) | |
| ✓ | 60.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 25.3% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) | |
| ✓ | 31.4% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
| ✓ | 30.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
| ✓ | 28.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
Compiled 600 to 310 computations (48.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
(/.f64 #s(approx (/ x (+ 1 z)) (/.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 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z z) (*.f64 y (/.f64 x z)))) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
6 calls:
| 13.0ms | (*.f64 x y) |
| 11.0ms | x |
| 11.0ms | y |
| 11.0ms | z |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
| 98.0% | 2 | y |
| 98.9% | 3 | z |
| 94.8% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 99.8% | 3 | (*.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 |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
(/.f64 #s(approx (/ x (+ 1 z)) (/.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 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))) |
3 calls:
| 11.0ms | y |
| 10.0ms | x |
| 10.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
| 96.5% | 2 | y |
| 97.8% | 2 | (*.f64 x y) |
Compiled 5 to 10 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
(/.f64 #s(approx (/ x (+ 1 z)) (/.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 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) |
| Outputs |
|---|
(/.f64 #s(approx (/ x (+ 1 z)) (/.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 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
4 calls:
| 52.0ms | x |
| 26.0ms | z |
| 10.0ms | (*.f64 x y) |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | z |
| 98.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.8% | 1 | (*.f64 x y) |
| 94.8% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
(/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) |
2 calls:
| 10.0ms | z |
| 8.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | z |
| 96.7% | 2 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) |
2 calls:
| 36.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | z |
| 96.6% | 2 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (*.f64 (/.f64 y z) x))) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
6 calls:
| 46.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 10.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 10.0ms | y |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | x |
| 94.8% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 94.8% | 1 | (*.f64 x y) |
| 94.8% | 1 | y |
| 94.8% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.8% | 1 | z |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) |
| Outputs |
|---|
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) |
6 calls:
| 10.0ms | z |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 8.0ms | x |
| 8.0ms | y |
| 7.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 2 | x |
| 92.1% | 3 | y |
| 96.1% | 3 | z |
| 92.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 92.5% | 3 | (*.f64 x y) |
| 98.0% | 4 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
2 calls:
| 10.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 3 | z |
| 94.7% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x)) |
(*.f64 (neg.f64 x) #s(approx (/ y (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 y) z) z))) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
3 calls:
| 7.0ms | z |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 6.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.1% | 3 | z |
| 93.1% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 19 to 19 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
1 calls:
| 4.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
5 calls:
| 8.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | y |
| 89.9% | 2 | (*.f64 x y) |
| 90.4% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 90.4% | 3 | z |
| 90.0% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
| Outputs |
|---|
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
6 calls:
| 6.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 80.9% | 1 | z |
| 80.9% | 1 | x |
| 80.9% | 1 | y |
| 80.9% | 1 | (*.f64 x y) |
| 80.9% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
6 calls:
| 40.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | x |
| 80.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 81.4% | 2 | (*.f64 x y) |
| 81.4% | 3 | z |
| 81.4% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 81.4% | 2 | y |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (neg.f64 y) (/.f64 z x)))) |
| Outputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
6 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 75.0% | 1 | z |
| 75.0% | 1 | x |
| 75.0% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 75.0% | 1 | y |
| 75.0% | 1 | (*.f64 x y) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 x) y) z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
6 calls:
| 5.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.2% | 1 | z |
| 33.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 30.2% | 1 | (*.f64 x y) |
| 30.2% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 30.2% | 1 | x |
| 30.2% | 1 | y |
Compiled 24 to 29 computations (-20.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
6 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 x y) |
| 1.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | x |
| 28.2% | 1 | (*.f64 x y) |
| 28.2% | 1 | y |
| 28.2% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 28.2% | 1 | z |
| 28.2% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4537585828129284e+285 | 2.052994116109791e+303 |
| 0.0ms | 2.8062553773446434e-236 | 4.8015041024421e-232 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 5.379576830874519e-64 | 6.930201944966952e-62 |
| 2.0ms | 32× | 0 | valid |
Compiled 56 to 51 computations (8.9% saved)
ival-mult: 1.0ms (97.9% of total)ival-div: 0.0ms (0% 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.7678260312621115e+62 | 6.354172911894319e+69 |
| 0.0ms | -9.472401535271073e+50 | -1.8576382389106824e+40 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 554981105131.0057 | 4.7678260312621115e+62 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.290125976096162e+139 | 5.180450053426946e+144 |
| 6.0ms | 80× | 0 | valid |
Compiled 114 to 100 computations (12.3% saved)
ival-mult: 3.0ms (77.3% of total)ival-div: 0.0ms (0% 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)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 554981105131.0057 | 4.7678260312621115e+62 |
| 0.0ms | 1.8054517964803306e-209 | 4.3857771978069705e-207 |
| 0.0ms | -1.8576382389106824e+40 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8594410947401704e-34 | 3.8507201230024665e-34 |
| 0.0ms | -1.8576382389106824e+40 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.731691416529096e+90 | 2.9927718134393907e+93 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.731691416529096e+90 | 2.9927718134393907e+93 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.987077531113863e+146 | 6.305402386265441e+158 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.122056304717154e-148 | 1.2537840606987652e-143 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.363943137172985e+125 | 3.277597061188933e+129 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
| 58× | *-commutative-binary64-*.f64 |
| 44× | neg-mul-1-binary64-*.f64-neg.f64 |
| 26× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 20× | distribute-rgt-neg-in-binary64-*.f64-neg.f64 |
| 20× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 675 |
| 1 | 157 | 675 |
| 2 | 173 | 675 |
| 3 | 193 | 675 |
| 4 | 208 | 675 |
| 5 | 215 | 675 |
| 6 | 219 | 675 |
| 7 | 246 | 675 |
| 8 | 284 | 675 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x y) #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 x #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y)))) |
(if (<=.f64 z #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000 binary64)) (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000303786028427003666890752 binary64)) (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x y) #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 (*.f64 y x) #s(literal 357986298980937/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) (if (<=.f64 (*.f64 y x) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z y) z)))) |
(if (<=.f64 x #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))) |
(if (<=.f64 x #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z y) z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 (/.f64 z y) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 (/.f64 z y) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 z (/.f64 z y)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1000000000000 binary64)) (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) (/.f64 #s(approx (/ x (+ 1 z)) (/.f64 x z)) (*.f64 (/.f64 z y) z))) |
(if (<=.f64 z #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))) |
(if (<=.f64 z #s(literal 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024 binary64)) (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000 binary64)) (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) (/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z))))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 x (*.f64 #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)) z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1000000000000 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (/.f64 x (*.f64 #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)) z))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -10000000000000000303786028427003666890752 binary64)) (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -10000000000000000303786028427003666890752 binary64)) (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) (/.f64 x z)) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) #s(literal 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y))) |
#s(approx (/ (* y 1) (* z (/ (+ (* z z) z) x))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(if (<=.f64 (*.f64 y x) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 y z) (/.f64 x z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)) |
(*.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) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z))))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
| 23 166× | lower-fma.f64 |
| 23 166× | lower-fma.f32 |
| 14 528× | lower-fma.f64 |
| 14 528× | lower-fma.f32 |
| 12 154× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 5418 |
| 1 | 607 | 5121 |
| 2 | 1521 | 4834 |
| 3 | 5055 | 4678 |
| 0 | 8282 | 4460 |
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3492 | 628 |
| 0 | 8400 | 593 |
| 0 | 161 | 4736 |
| 1 | 495 | 4424 |
| 2 | 1241 | 4058 |
| 3 | 4812 | 4016 |
| 0 | 8271 | 3760 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 0 | 29 | 155 |
| 0 | 47 | 151 |
| 1 | 195 | 148 |
| 2 | 1238 | 148 |
| 0 | 8313 | 148 |
| 0 | 40 | 196 |
| 0 | 61 | 191 |
| 1 | 249 | 187 |
| 2 | 1635 | 187 |
| 0 | 8568 | 187 |
| 0 | 182 | 5084 |
| 1 | 544 | 4753 |
| 2 | 1388 | 4527 |
| 3 | 5497 | 4311 |
| 0 | 8135 | 4123 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 |
Compiled 1 342 to 680 computations (49.3% saved)
Compiled 1 808 to 696 computations (61.5% saved)
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