
Time bar (total: 8.8s)
| 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)
| 605.0ms | 8 256× | 0 | valid |
ival-mult: 235.0ms (63% of total)ival-div: 70.0ms (18.8% of total)ival-add: 51.0ms (13.7% of total)ival-true: 7.0ms (1.9% of total)exact: 5.0ms (1.3% of total)ival-assert: 4.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 0 | - | 1 | (1.018481199876512e-223 1.5073827956459748e-68 -1.8726509072441437e-160) | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 12 | 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)))) | n/o | 9 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 76 | |
| ↳ | (*.f64 z z) | overflow | 53 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 8 | 0 |
| ↳ | (*.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 76 | |
| ↳ | (*.f64 z z) | overflow | 53 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 22 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 3 | 0 |
| ↳ | (*.f64 x y) | underflow | 22 | |
| ↳ | (*.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)))) | o/n | 2 | 0 |
| ↳ | (*.f64 x y) | overflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 1 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 1 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 9.0ms (54.8% of total)ival-div: 3.0ms (18.3% of total)ival-add: 3.0ms (18.3% 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 |
|---|---|---|
| ▶ | 86.0% | (/.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 | 0.03515625 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 8.905099807378368 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 5.0ms (60.5% of total)ival-div: 2.0ms (24.2% of total)ival-add: 1.0ms (12.1% 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 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 | |
|---|---|---|---|---|
| 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)))) |
| 1.0ms | z | @ | inf | ((* (* 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 |
|---|
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Compiled 9 982 to 1 515 computations (84.8% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 562 | 15 | 577 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 563 | 15 | 578 |
| Status | Accuracy | Program |
|---|---|---|
| 96.6% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| 92.6% | (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) | |
| ▶ | 98.6% | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
| ▶ | 96.0% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| 96.7% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| 86.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| 93.4% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| ▶ | 72.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 89.7% | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) | |
| ▶ | 93.5% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 92.5% | (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z)))) | |
| 87.2% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 85.4% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ▶ | 67.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 78.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 318 to 242 computations (23.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x (fma.f64 z z z)) | |
| cost-diff | 0 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x (fma.f64 z 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 z (/.f64 z x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 512 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
| 16 776× | lower-fma.f32 |
| 16 774× | lower-fma.f64 |
| 2 854× | lower-*.f32 |
| 2 840× | lower-*.f64 |
| 1 644× | lower-+.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 176 |
| 0 | 49 | 178 |
| 1 | 104 | 172 |
| 2 | 227 | 172 |
| 3 | 503 | 172 |
| 4 | 1147 | 170 |
| 5 | 2585 | 168 |
| 6 | 3997 | 168 |
| 7 | 7406 | 168 |
| 0 | 8110 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) z)) |
y |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 z (/.f64 z x)) |
(/.f64 z x) |
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 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
y |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 z z z) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(/.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 |
(*.f64 z (/.f64 z x)) |
(*.f64 (/.f64 z x) z) |
(/.f64 z x) |
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 (/.f64 y z) y) z) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(*.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 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
y |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 z z z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 2.0890663075247575 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| accuracy | 5.2341260636437426 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| accuracy | 1.4309171493120132 | (/.f64 x (fma.f64 z z z)) | |
| accuracy | 3.9901909277378613 | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 2.1789397569083353 | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) | |
| accuracy | 13.74720696263795 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) | |
| accuracy | 18.724005494789104 | #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 | 8.905099807378368 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.625407981984377 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.12109375 | (*.f64 z (/.f64 z x)) | |
| accuracy | 0.9000450863434197 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
| 70.0ms | 256× | 0 | valid |
Compiled 164 to 27 computations (83.5% saved)
ival-div: 13.0ms (42% of total)ival-mult: 12.0ms (38.8% of total)ival-add: 4.0ms (12.9% of total)ival-sub: 1.0ms (3.2% 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 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 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 (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.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 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ()) |
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#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<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 |
|---|
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#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z x)) (patch (*.f64 z (/.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (patch (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (fma.f64 z z z)) z) (patch (/.f64 (/.f64 x (fma.f64 z z z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (patch (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* 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) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z))) |
| 6.0ms | y | @ | -inf | ((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* 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) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z))) |
| 6.0ms | z | @ | 0 | ((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* 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) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z))) |
| 5.0ms | x | @ | -inf | ((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* 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) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z))) |
| 4.0ms | x | @ | 0 | ((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* 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) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* (- 1 z) (* y x)) (* z z))) |
| 1× | egg-herbie |
| 13 648× | lower-fma.f64 |
| 13 648× | lower-fma.f32 |
| 3 710× | lower-*.f64 |
| 3 710× | lower-*.f32 |
| 2 426× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 4600 |
| 1 | 586 | 4266 |
| 2 | 1466 | 4038 |
| 3 | 5423 | 4002 |
| 0 | 8190 | 3814 |
| 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 |
(+ y (* -1 (* y z))) |
(+ y (* z (- (* y z) y))) |
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) |
1 |
(+ 1 z) |
(+ 1 z) |
(+ 1 z) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 2) |
(* (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)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) (* 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 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) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* 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)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x 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 y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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 (/ (- (/ (* 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))) |
(/ 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)) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* 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))) |
(/ x (pow z 3)) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) 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 y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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) (* (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))) |
(/ 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) |
(* 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)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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) (* (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))) |
(/ 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) |
(* 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)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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) (* (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))) |
(/ 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) |
(* 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)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* 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 (* 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 y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x (* y (- 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) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* 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 (* 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 y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x (* y (- 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) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* 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 (* 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 y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x (* y (- 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 y z) z) x) |
(/ (+ (* -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) y) x)) (*.f64 z z)) |
y |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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))) |
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(*.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) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(* 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 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x 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) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(* 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 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x (* y (- 1 z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ (* x y) z) |
(*.f64 (/.f64 x 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) |
| 5 244× | lower-*.f32 |
| 5 230× | lower-*.f64 |
| 5 112× | lower-fma.f32 |
| 5 110× | lower-fma.f64 |
| 4 146× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 149 |
| 0 | 49 | 151 |
| 1 | 203 | 145 |
| 2 | 1366 | 145 |
| 0 | 8611 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
(*.f64 z (/.f64 z x)) |
(/.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 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
(fma.f64 z z z) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
| Outputs |
|---|
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Compiled 37 097 to 3 687 computations (90.1% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 199 | 11 | 2 210 |
| Fresh | 5 | 5 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 207 | 18 | 2 225 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
| 62.7% | (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 96.5% | (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) | |
| 86.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ✓ | 72.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 63.5% | (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) | |
| ▶ | 93.4% | (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
| 89.7% | (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) | |
| 83.3% | (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) | |
| 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 87.2% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| ▶ | 72.5% | (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 85.4% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 78.2% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) | |
| ▶ | 70.0% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
| ✓ | 67.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 78.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) | |
| ▶ | 28.3% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) |
Compiled 324 to 261 computations (19.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 (fma.f64 z z z) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 z z z) x) z) | |
| cost-diff | 0 | (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 448 | (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) z) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) | |
| cost-diff | 384 | (*.f64 (/.f64 (/.f64 y z) z) x) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 y) z) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) | |
| 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) |
| 5 142× | lower-fma.f32 |
| 5 140× | lower-fma.f64 |
| 2 676× | lower-*.f32 |
| 2 662× | lower-*.f64 |
| 2 068× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 225 |
| 0 | 61 | 226 |
| 1 | 131 | 218 |
| 2 | 282 | 215 |
| 3 | 668 | 215 |
| 4 | 1883 | 211 |
| 5 | 4357 | 211 |
| 6 | 7105 | 211 |
| 0 | 8045 | 211 |
| 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 y) z) x))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(literal -1 binary64) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
y |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
z |
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 x (/.f64 y (+.f64 z #s(literal 1 binary64)))) |
(/.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 y) z) x))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x (*.f64 z z)) y)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(literal -1 binary64) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
y |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(*.f64 (fma.f64 z z z) (/.f64 z x)) |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 (fma.f64 z z z) x) z) | |
| accuracy | 1.4358040788269304 | (/.f64 (fma.f64 z z z) x) | |
| accuracy | 4.223839032460269 | (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.7946616255396546 | (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 8.739482105730644 | (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| accuracy | 25.625407981984377 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.125 | (/.f64 (/.f64 y z) z) | |
| accuracy | 5.921544924909574 | (*.f64 (/.f64 (/.f64 y z) z) x) | |
| accuracy | 14.262106153973617 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 5.2341260636437426 | (*.f64 (/.f64 (neg.f64 y) z) x) | |
| accuracy | 18.724005494789104 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) | |
| accuracy | 28.946371615658297 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.07421875 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 0.5705994041702085 | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| accuracy | 1.695629084204493 | (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) |
| 71.0ms | 256× | 0 | valid |
Compiled 185 to 37 computations (80% saved)
ival-div: 23.0ms (46% of total)ival-mult: 19.0ms (38% of total)ival-add: 4.0ms (8% of total)ival-sub: 3.0ms (6% of total)ival-neg: 1.0ms (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 y) z) x))) (patch #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) (patch #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 y) z) x) (patch (*.f64 (/.f64 (neg.f64 y) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 y z) z) x) (patch (*.f64 (/.f64 (/.f64 y z) z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (patch (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (patch (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 z z z) x) z) (patch (*.f64 (/.f64 (fma.f64 z z z) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z z z) x) (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | 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 y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1))) |
| 8.0ms | 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 y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1))) |
| 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 y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1))) |
| 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 y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1))) |
| 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 y) z) x) (/ (neg y) z) (* (/ (/ y z) z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (/ y z) z) (/ y z) (* (* (neg y) x) (/ -1 (* (* z z) (+ z 1)))) (* (neg y) x) (neg y) (/ -1 (* (* z z) (+ z 1))) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (+ (* z z) z) (* (* z z) (+ z 1))) |
| 1× | egg-herbie |
| 14 164× | lower-fma.f64 |
| 14 164× | lower-fma.f32 |
| 4 080× | lower-*.f64 |
| 4 080× | lower-*.f32 |
| 2 064× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 5375 |
| 1 | 577 | 5108 |
| 2 | 1416 | 4848 |
| 3 | 4723 | 4690 |
| 0 | 8253 | 4469 |
| 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 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* 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)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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)) |
(/ -1 (pow z 2)) |
(/ (- z 1) (pow z 2)) |
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) |
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) |
(/ (* x y) (pow z 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))) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* 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 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* 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 (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (pow z 3)) |
(/ (- (/ 1 z) 1) (pow z 3)) |
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* 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)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 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 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* 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))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (pow z 3)) |
(* -1 (/ (- 1 (/ 1 z)) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) z))) (pow z 3))) |
(/ (* x y) (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)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* 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)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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))) |
(/ y (pow z 2)) |
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(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(/ (* 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)) |
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(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
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(/ (* x y) (pow z 2)) |
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(/ (* x y) (pow z 2)) |
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(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ 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)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))) 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) (* 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))) 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) (* 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))) 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) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(*.f64 (-.f64 (/.f64 y z) y) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(+ (* 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 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) 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 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) 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 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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 (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 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 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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 #s(literal -1 binary64) (*.f64 z z)) |
(/ (- z 1) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) |
(-.f64 (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) #s(literal 1 binary64)) |
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))) (*.f64 z z)) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64))) 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) |
(/ (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) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) (-.f64 y (/.f64 y z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 z 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 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) z) |
(*.f64 (/.f64 x z) (-.f64 y (/.f64 y z))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) z) |
(*.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) z) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) z) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (/ y z))) z) |
(/.f64 (-.f64 y (/.f64 y z)) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #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 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* -1 (* x y)) (/ (* x y) z)) z) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) 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 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y 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)) |
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(/.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) |
(/ (* 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 #s(literal 1 binary64) z)) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y) |
(/ (* x y) (+ 1 z)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) 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))) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (* x (* y (- 1 z))) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) 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) (* (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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) 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) |
(/ (* 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) |
| 5 436× | lower-fma.f32 |
| 5 434× | lower-fma.f64 |
| 5 372× | lower-*.f32 |
| 5 358× | lower-*.f64 |
| 3 742× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 200 |
| 0 | 61 | 201 |
| 1 | 244 | 192 |
| 2 | 1570 | 190 |
| 0 | 8963 | 190 |
| 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 y) z) x))) |
#s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/.f64 (neg.f64 y) z) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
| Outputs |
|---|
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Compiled 25 726 to 3 349 computations (87% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 747 | 9 | 1 756 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 753 | 21 | 1 774 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) | |
| ▶ | 96.4% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| 62.7% | (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 86.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ✓ | 72.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 63.5% | (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) | |
| ▶ | 83.6% | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
| 83.3% | (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) | |
| 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 87.2% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| ✓ | 72.5% | (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 85.4% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 78.2% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) | |
| 70.3% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) | |
| ▶ | 78.7% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
| ▶ | 78.7% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
| 70.9% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) | |
| ✓ | 67.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 26.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) | |
| ✓ | 28.3% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) |
| ▶ | 31.6% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
Compiled 357 to 297 computations (16.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) z) x) | |
| cost-diff | 256 | (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) | |
| cost-diff | -384 | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.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 | (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)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| 9 572× | lower-fma.f32 |
| 9 570× | lower-fma.f64 |
| 2 644× | lower-*.f32 |
| 2 632× | lower-*.f64 |
| 1 400× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 221 |
| 0 | 62 | 214 |
| 1 | 132 | 211 |
| 2 | 312 | 211 |
| 3 | 755 | 209 |
| 4 | 2386 | 207 |
| 5 | 5265 | 207 |
| 6 | 7762 | 207 |
| 0 | 8021 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
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 |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
y |
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
z |
x |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(*.f64 (/.f64 #s(literal -1 binary64) z) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
x |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
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 |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) |
y |
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
z |
x |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(*.f64 (/.f64 #s(literal -1 binary64) z) x) |
(/.f64 (neg.f64 x) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal -1 binary64) z) x) | |
| accuracy | 1.8620122452868986 | (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) | |
| accuracy | 14.262106153973617 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) | |
| accuracy | 4.223839032460269 | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) | |
| accuracy | 24.251348412071522 | #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 1.8620122452868986 | (*.f64 (/.f64 y z) (/.f64 x z)) | |
| accuracy | 14.262106153973617 | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 3.8559411009466475 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| accuracy | 18.724005494789104 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) | |
| accuracy | 28.946371615658297 | #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.5705994041702085 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) | |
| accuracy | 5.282886997159972 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 5.67751734605359 | (*.f64 (/.f64 y (fma.f64 z z z)) x) |
| 82.0ms | 256× | 0 | valid |
Compiled 173 to 39 computations (77.5% saved)
ival-div: 37.0ms (60.2% of total)ival-mult: 17.0ms (27.6% of total)ival-add: 4.0ms (6.5% of total)ival-neg: 2.0ms (3.3% 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 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<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 #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 #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x 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 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<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 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) 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 (/.f64 y (fma.f64 z z z)) x) z) (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<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 y (fma.f64 z z z)) x) (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<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 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 #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.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 #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.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 #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x 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 (/ (pow z 2) x) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ 1 x) (/ z x))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#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 (+ (/ 1 x) (/ z x))) (taylor 0 z) (#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 (+ (/ 1 x) (/ z x))) (taylor 0 z) (#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 (+ (/ 1 x) (/ z x))) (taylor 0 z) (#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 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z 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 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<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 (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) (/.f64 x z)) (patch (*.f64 (/.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 (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ z (pow z 2))) x) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) (patch (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) (patch (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) (patch (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) (patch #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) 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) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y)) |
| 5.0ms | y | @ | 0 | ((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y)) |
| 4.0ms | y | @ | -inf | ((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y)) |
| 4.0ms | y | @ | inf | ((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y)) |
| 3.0ms | x | @ | 0 | ((/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (/ (* (- 1 z) (* y x)) (* z z)) (* (/ (neg x) z) y) (/ (neg x) z) (/ (/ y (+ 1 z)) (* z (/ z x))) (* (/ y z) (/ x z)) (/ y z) (/ x z) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x) (/ z x) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (neg y) z) (* (/ -1 z) x)) (* (/ -1 z) x) (/ (/ y (+ 1 z)) (* z (/ z x))) (/ (neg y) z) (neg x) (neg y)) |
| 1× | egg-herbie |
| 18 898× | lower-fma.f64 |
| 18 898× | lower-fma.f32 |
| 4 524× | lower-*.f64 |
| 4 524× | lower-*.f32 |
| 1 950× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 5264 |
| 1 | 462 | 4958 |
| 2 | 1114 | 4790 |
| 3 | 4410 | 4650 |
| 0 | 8181 | 4429 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (+ (* -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) |
(/ 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 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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) |
(/ (* 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -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)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -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)) |
(/ (* 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)) |
(/ 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 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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) |
(/ (* 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)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -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)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -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))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ 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 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 (/ (- (/ (* 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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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) |
(/ (* 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 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -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 (/ (- (/ (* 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 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ 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)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (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)))) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (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)))) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (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)))) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x 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))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x 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 (- 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) (* (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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* 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) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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 (*.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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.f64 z z)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) y) x) |
(/ (+ (* 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) |
(/ 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 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 (*.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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)) (*.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) |
(/ (+ (* -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 x z) z) y) |
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(*.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)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* 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) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(* -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) (+ 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.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 (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.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))) (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) (* (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) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* 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) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(* -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) (+ 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.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 (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(/ (* x y) (+ z (pow z 2))) |
(*.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))) (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) (* (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) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* 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) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(* -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) (+ 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 3 910× | lower-fma.f32 |
| 3 908× | lower-fma.f64 |
| 3 730× | lower-/.f32 |
| 3 712× | lower-/.f64 |
| 3 572× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 202 |
| 0 | 62 | 195 |
| 1 | 246 | 192 |
| 2 | 1723 | 192 |
| 0 | 8676 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z 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) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 y z) |
(/.f64 x z) |
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z) |
#s(approx (/ (+ (* z z) z) x) (/.f64 z x)) |
(/.f64 z x) |
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
(*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) x) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
(/.f64 (neg.f64 y) z) |
(neg.f64 x) |
(neg.f64 y) |
| Outputs |
|---|
#<batchref> |
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Compiled 17 879 to 2 389 computations (86.6% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 381 | 3 | 1 384 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 384 | 21 | 1 405 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) | |
| 63.0% | (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) | |
| 62.7% | (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 64.9% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) | |
| 86.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| ✓ | 72.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 83.6% | (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)) |
| 83.3% | (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) | |
| 85.4% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 87.2% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| ✓ | 72.5% | (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 78.2% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) | |
| 70.3% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) | |
| ✓ | 78.7% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
| ✓ | 78.7% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
| 70.9% | #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) | |
| ✓ | 67.2% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))) |
| 26.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) | |
| ✓ | 28.3% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 y) z) x))) |
| ✓ | 31.6% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
Compiled 580 to 290 computations (50% saved)
| Inputs |
|---|
#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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) |
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z)))) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
6 calls:
| 20.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 14.0ms | z |
| 14.0ms | x |
| 11.0ms | y |
| 11.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | y |
| 98.6% | 1 | z |
| 98.6% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 98.6% | 1 | (*.f64 x y) |
| 98.6% | 1 | (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) |
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) x) z) z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
6 calls:
| 13.0ms | y |
| 12.0ms | (*.f64 x y) |
| 11.0ms | x |
| 11.0ms | z |
| 10.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.7% | 1 | x |
| 96.7% | 1 | y |
| 98.7% | 2 | z |
| 96.7% | 1 | (*.f64 x y) |
| 98.7% | 2 | (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) |
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
2 calls:
| 12.0ms | z |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | z |
| 98.6% | 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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
3 calls:
| 13.0ms | z |
| 8.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.7% | 1 | z |
| 96.7% | 1 | (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
| Outputs |
|---|
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
6 calls:
| 17.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 9.0ms | (*.f64 x y) |
| 8.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 2 | x |
| 96.1% | 2 | y |
| 96.5% | 2 | (*.f64 x y) |
| 96.3% | 2 | z |
| 97.5% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.3% | 2 | (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
4 calls:
| 10.0ms | z |
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 7.0ms | (*.f64 x y) |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | z |
| 96.3% | 2 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 93.5% | 1 | (*.f64 x y) |
| 95.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 22 to 23 computations (-4.5% saved)
| Inputs |
|---|
#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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
(/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))) |
6 calls:
| 66.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 15.0ms | z |
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | (*.f64 x y) |
| 94.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 92.9% | 3 | x |
| 91.1% | 2 | y |
| 96.5% | 3 | z |
| 96.5% | 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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) 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 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.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 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.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:
| 6.0ms | z |
| 6.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 5.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 94.8% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.8% | 3 | z |
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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.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 |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
3 calls:
| 4.0ms | z |
| 4.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 4.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 3 | z |
| 94.5% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 92.6% | 2 | (/.f64 (*.f64 x y) (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
4 calls:
| 6.0ms | z |
| 4.0ms | (*.f64 x y) |
| 4.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | (*.f64 x y) |
| 91.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 92.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 92.6% | 3 | z |
Compiled 22 to 23 computations (-4.5% saved)
| Inputs |
|---|
#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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.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))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 y z) z) x)) |
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 x (*.f64 (/.f64 z y) z))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
6 calls:
| 28.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 82.2% | 2 | z |
| 83.4% | 2 | y |
| 82.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 82.2% | 2 | x |
| 83.7% | 2 | (*.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 (/.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 y) z) x))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (/.f64 (*.f64 (neg.f64 y) x) z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
6 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x y) |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 78.2% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 78.2% | 1 | z |
| 78.2% | 1 | x |
| 78.2% | 1 | y |
| 78.2% | 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 (/.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 y) z) x))) |
#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 (/.f64 (neg.f64 y) z) x))) |
6 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.6% | 1 | x |
| 31.6% | 1 | (*.f64 x y) |
| 31.6% | 1 | y |
| 31.6% | 1 | z |
| 31.6% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 33.8% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
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 (/.f64 (neg.f64 x) z) y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) #s(approx (/ (* (- 1 z) (* y x)) (* z z)) (*.f64 (/.f64 (neg.f64 x) z) y))) |
2 calls:
| 1.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 1.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.6% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 31.6% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.865130864232562e+191 | -9.116791502982552e+173 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.80289741126589e+93 | -2.5917519457751837e+54 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.884336986557522e-43 | 6.806272527397097e-42 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9055552828066955e+30 | 1.4164306312795263e+55 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.965436452197356e-13 | 3.315935505094848e-8 |
| 14.0ms | -2.0601751813732223e-13 | -1.164472019263362e-22 |
| 19.0ms | 272× | 0 | valid |
Compiled 320 to 295 computations (7.8% saved)
ival-mult: 5.0ms (59.1% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3364883633004097e+109 | 3.738988631186459e+132 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3364883633004097e+109 | 3.738988631186459e+132 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.1049806749430506e-14 | 9.965436452197356e-13 |
| 9.0ms | -3.495290710576616e-34 | -4.944098109216424e-35 |
| 11.0ms | 208× | 0 | valid |
Compiled 248 to 223 computations (10.1% saved)
ival-mult: 4.0ms (62.5% of total)ival-div: 1.0ms (15.6% of total)ival-add: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2893708511731565e-144 | 1.1284370061423687e-143 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2893708511731565e-144 | 1.1284370061423687e-143 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 4.5314109860325967e-284 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
| 48× | *-commutative-binary64-*.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 533 |
| 1 | 138 | 533 |
| 2 | 151 | 533 |
| 3 | 167 | 533 |
| 4 | 175 | 533 |
| 5 | 178 | 533 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) |
(if (<=.f64 z #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4835703278458517/151115727451828646838272 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 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 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)) |
(if (<=.f64 z #s(literal -496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 237684487542793/19807040628566084398385987584 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 0 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 (/.f64 (neg.f64 y) 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))) |
| Outputs |
|---|
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x))) |
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -100000000000000007255917159731877836103034242878113728245683439839721017249206890744520681817432419517406259768686757211613347531636374137714903657800393217922126245182526923208032109954334720 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 (/.f64 z x) z)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x (*.f64 (/.f64 (fma.f64 z z z) y) z)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999817948147482624 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) |
(if (<=.f64 z #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4835703278458517/151115727451828646838272 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (/.f64 (*.f64 (/.f64 y z) x) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 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 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)) |
(if (<=.f64 z #s(literal -496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 237684487542793/19807040628566084398385987584 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y)) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 x (*.f64 z z))) y) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 0 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 (/.f64 (neg.f64 y) 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))) |
| 23 166× | lower-fma.f64 |
| 23 166× | lower-fma.f32 |
| 18 898× | lower-fma.f64 |
| 18 898× | lower-fma.f32 |
| 14 164× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 200 |
| 0 | 61 | 201 |
| 1 | 244 | 192 |
| 2 | 1570 | 190 |
| 0 | 8963 | 190 |
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3492 | 628 |
| 0 | 8400 | 593 |
| 0 | 44 | 202 |
| 0 | 62 | 195 |
| 1 | 246 | 192 |
| 2 | 1723 | 192 |
| 0 | 8676 | 192 |
| 0 | 198 | 4600 |
| 1 | 586 | 4266 |
| 2 | 1466 | 4038 |
| 3 | 5423 | 4002 |
| 0 | 8190 | 3814 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 0 | 196 | 5375 |
| 1 | 577 | 5108 |
| 2 | 1416 | 4848 |
| 3 | 4723 | 4690 |
| 0 | 8253 | 4469 |
| 0 | 30 | 149 |
| 0 | 49 | 151 |
| 1 | 203 | 145 |
| 2 | 1366 | 145 |
| 0 | 8611 | 145 |
| 0 | 156 | 5264 |
| 1 | 462 | 4958 |
| 2 | 1114 | 4790 |
| 3 | 4410 | 4650 |
| 0 | 8181 | 4429 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 168 to 617 computations (47.2% saved)
(negabs y)
Compiled 1 420 to 620 computations (56.3% saved)
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