
Time bar (total: 12.9s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 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 23 to 20 computations (13% saved)
| 1.5s | 8 256× | 0 | valid |
const: 592.0ms (47.2% of total)ival-add: 340.0ms (27.1% of total)ival-mult: 256.0ms (20.4% of total)ival-div: 58.0ms (4.6% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 1 622× | unsub-neg |
| 1 038× | accelerator-lowering-fma.f32 |
| 1 038× | accelerator-lowering-fma.f64 |
| 930× | distribute-lft-in |
| 898× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 223 |
| 1 | 171 | 211 |
| 2 | 440 | 211 |
| 3 | 1506 | 210 |
| 4 | 4788 | 210 |
| 0 | 18 | 21 |
| 1 | 35 | 21 |
| 2 | 63 | 21 |
| 3 | 140 | 21 |
| 4 | 272 | 21 |
| 5 | 390 | 21 |
| 6 | 475 | 21 |
| 7 | 559 | 21 |
| 8 | 659 | 21 |
| 9 | 665 | 21 |
| 0 | 665 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
| Inputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000))) |
(neg (+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))) |
(neg (+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))) |
(neg (+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000)))) |
(+ y (/ (* x (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ z (/ (* y (+ (* (+ (* x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+ (* (+ x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000))) |
(+ x (/ (* z (+ (* (+ (* y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+ (* (+ y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))) |
(+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(- (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x) |
(+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (- -104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))) |
(+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000))) |
(+ x (* y (/ (+ 11167812716741/40000000000000 (* z (+ (* z 692910599291889/10000000000000000) -307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ z -6012459259764103/1000000000000000)))))) |
(neg (+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))) |
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (- -104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))) |
(neg (+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))) |
(- (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x) |
(neg (+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000)))) |
(- (* y (/ (+ 11167812716741/40000000000000 (* z (+ (* z 692910599291889/10000000000000000) -307332350656623/625000000000000))) (+ (* z (- 6012459259764103/1000000000000000 z)) -104698244219447/31250000000000))) x) |
(+ y (/ (* x (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ y (* x (/ (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))) |
(+ z (/ (* y (+ (* (+ (* x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+ (* (+ x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000))) |
(+ z (* y (/ (+ 11167812716741/40000000000000 (* x (+ 307332350656623/625000000000000 (* x 692910599291889/10000000000000000)))) (+ 104698244219447/31250000000000 (* x (+ x 6012459259764103/1000000000000000)))))) |
(+ x (/ (* z (+ (* (+ (* y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+ (* (+ y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000))) |
(+ x (* z (/ (+ 11167812716741/40000000000000 (* y (+ 307332350656623/625000000000000 (* y 692910599291889/10000000000000000)))) (+ 104698244219447/31250000000000 (* y (+ y 6012459259764103/1000000000000000)))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 0 | - | 0 | - | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 15 | 0 | - | 0 | - | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 104698244219447/31250000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 692910599291889/10000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 6012459259764103/1000000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 307332350656623/625000000000000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 11167812716741/40000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) | o/o | 33 | 0 |
| ↳ | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) | overflow | 60 | |
| ↳ | (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)) | overflow | 66 | |
| ↳ | (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) | overflow | 66 | |
| ↳ | (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) | overflow | 66 | |
*.f64 | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) | n*o | 15 | 0 |
/.f64 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) | o/n | 9 | 0 |
| ↳ | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) | overflow | 60 | |
| ↳ | (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)) | overflow | 66 | |
| ↳ | (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) | overflow | 66 | |
/.f64 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) | n/o | 1 | 0 |
| ↳ | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) | overflow | 66 | |
| ↳ | (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) | overflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 18 |
| - | 0 | 181 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 18 |
| - | 0 | 0 | 181 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 56 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 166.0ms | 512× | 0 | valid |
Compiled 248 to 76 computations (69.4% saved)
const: 99.0ms (69.6% of total)ival-mult: 26.0ms (18.3% of total)ival-add: 13.0ms (9.1% of total)ival-div: 3.0ms (2.1% of total)ival-true: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.7% | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 1 038× | accelerator-lowering-fma.f32 |
| 1 038× | accelerator-lowering-fma.f64 |
| 394× | *-lowering-*.f32 |
| 394× | *-lowering-*.f64 |
| 224× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 98 |
| 1 | 35 | 98 |
| 2 | 63 | 98 |
| 3 | 140 | 98 |
| 4 | 272 | 98 |
| 5 | 390 | 98 |
| 6 | 475 | 98 |
| 7 | 559 | 98 |
| 8 | 659 | 98 |
| 9 | 665 | 98 |
| 0 | 665 | 84 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
x |
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
y |
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000) |
(* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(* z 692910599291889/10000000000000000) |
z |
692910599291889/10000000000000000 |
307332350656623/625000000000000 |
11167812716741/40000000000000 |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(* (+ z 6012459259764103/1000000000000000) z) |
(+ z 6012459259764103/1000000000000000) |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
| Outputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
x |
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
y |
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000) |
(fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
(* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) |
(* z 692910599291889/10000000000000000) |
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) |
z |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
(* (+ z 6012459259764103/1000000000000000) z) |
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) |
| ✓ | accuracy | 99.1% | (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) |
| ✓ | accuracy | 94.0% | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) |
| ✓ | accuracy | 71.5% | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 41.0ms | 256× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
const: 16.0ms (54.2% of total)ival-mult: 6.0ms (20.3% of total)ival-add: 5.0ms (16.9% of total)ival-div: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))> |
#<alt (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)> |
#<alt (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)> |
#<alt (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)> |
#<alt (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))> |
#<alt (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))> |
#<alt (* z 692910599291889/10000000000000000)> |
#<alt (* (+ z 6012459259764103/1000000000000000) z)> |
| Outputs |
|---|
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt x> |
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (- (+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt 11167812716741/40000000000000> |
#<alt (+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z))> |
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt 307332350656623/625000000000000> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt 104698244219447/31250000000000> |
#<alt (+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z)))> |
#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))> |
#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* 6012459259764103/1000000000000000 z)> |
#<alt (* z (+ 6012459259764103/1000000000000000 z))> |
#<alt (* z (+ 6012459259764103/1000000000000000 z))> |
#<alt (* z (+ 6012459259764103/1000000000000000 z))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 1.0ms | x | @ | 0 | (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 1.0ms | z | @ | -inf | (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 1.0ms | y | @ | inf | (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 1× | batch-egg-rewrite |
| 8 458× | accelerator-lowering-fma.f32 |
| 8 458× | accelerator-lowering-fma.f64 |
| 5 866× | *-lowering-*.f32 |
| 5 866× | *-lowering-*.f64 |
| 3 198× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 80 |
| 1 | 112 | 80 |
| 2 | 910 | 80 |
| 0 | 8347 | 67 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
(* z 692910599291889/10000000000000000) |
(* (+ z 6012459259764103/1000000000000000) z) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))))) |
(-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (-.f64 #s(literal 0 binary64) x)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(fma.f64 y (*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) x) |
(fma.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(fma.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
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(/.f64 (*.f64 z (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64))) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))) |
(/.f64 (*.f64 z (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)) z) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 6012459259764103/1000000000000000 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z)) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 6012459259764103/1000000000000000 binary64))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)))) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 z z) (*.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 z #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64)))) (*.f64 z (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 z (*.f64 z #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z z))) |
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) |
(*.f64 (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))) z)) |
(*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))) z)) |
(*.f64 (*.f64 z (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))))) |
(*.f64 (*.f64 z (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 z z) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z z (+.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))) |
| 1× | egg-herbie |
| 12 724× | accelerator-lowering-fma.f32 |
| 12 724× | accelerator-lowering-fma.f64 |
| 4 362× | +-lowering-+.f64 |
| 4 362× | +-lowering-+.f32 |
| 4 106× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2113 |
| 1 | 627 | 1962 |
| 2 | 1923 | 1764 |
| 3 | 7239 | 1764 |
| 0 | 8280 | 1543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
x |
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
x |
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (* 692910599291889/10000000000000000 y)) |
(- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(- (+ x (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))) |
(+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))) |
(+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))) |
11167812716741/40000000000000 |
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z)) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
307332350656623/625000000000000 |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
104698244219447/31250000000000 |
(+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z)) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* 279195317918525/3350343815022304 y) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(* 692910599291889/10000000000000000 y) |
(+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* 11167812716741/40000000000000 y) |
(+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z))) |
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))) |
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y))) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 692910599291889/10000000000000000 z) |
(* 6012459259764103/1000000000000000 z) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
| Outputs |
|---|
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
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(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
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(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
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x |
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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x |
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
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(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(*.f64 x (fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
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x |
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
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(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (fma.f64 z (/.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 x y)))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (fma.f64 z (/.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 x y)))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (fma.f64 z (/.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 x y)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
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(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
Compiled 19 049 to 1 836 computations (90.4% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 21 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 547 | 21 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) | |
| 73.1% | (fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) x) | |
| 74.0% | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) | |
| 62.4% | (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal -104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) x) | |
| 66.9% | (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) | |
| 66.4% | (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) | |
| 60.1% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x)) | |
| 79.6% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) | |
| ▶ | 82.5% | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| 32.6% | (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) | |
| 73.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))) | |
| 76.0% | (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))))) | |
| 76.2% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z y) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| 76.2% | (+.f64 x (/.f64 (fma.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) z (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| ▶ | 44.7% | (+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 70.7% | (+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal -307332350656623/625000000000000 binary64))) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| 62.5% | (+.f64 x (/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 124720040876201995101661081/1600000000000000000000000000 binary64) (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z z)))) (-.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| ▶ | 75.0% | (+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| ▶ | 73.8% | (+.f64 x (/.f64 y (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))) |
| 70.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))) | |
| ▶ | 54.4% | x |
Compiled 874 to 594 computations (32% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| ✓ | cost-diff | 640 | (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64))) |
| ✓ | cost-diff | 832 | (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 y (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| 29 166× | accelerator-lowering-fma.f32 |
| 29 166× | accelerator-lowering-fma.f64 |
| 5 106× | *-lowering-*.f32 |
| 5 106× | *-lowering-*.f64 |
| 2 804× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 268 |
| 1 | 87 | 268 |
| 2 | 176 | 264 |
| 3 | 408 | 264 |
| 4 | 850 | 264 |
| 5 | 1429 | 258 |
| 6 | 2613 | 258 |
| 7 | 4674 | 258 |
| 8 | 5125 | 258 |
| 9 | 5524 | 258 |
| 10 | 5969 | 258 |
| 11 | 6943 | 258 |
| 12 | 7104 | 258 |
| 0 | 8768 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y 692910599291889/10000000000000000) x) |
y |
692910599291889/10000000000000000 |
x |
x |
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
x |
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* y 11167812716741/40000000000000) |
y |
11167812716741/40000000000000 |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(* (+ z 6012459259764103/1000000000000000) z) |
(+ z 6012459259764103/1000000000000000) |
z |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
(+ x (/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
x |
(/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) |
y |
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
z |
(+ z 6012459259764103/1000000000000000) |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
692910599291889/10000000000000000 |
307332350656623/625000000000000 |
11167812716741/40000000000000 |
(+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
x |
(/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) |
z |
(+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000)) |
(* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z)))) |
y |
(+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))) |
692910599291889/10000000000000000 |
(/ 11167812716741/40000000000000 (* z z)) |
11167812716741/40000000000000 |
(* z z) |
(* y 307332350656623/625000000000000) |
307332350656623/625000000000000 |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(* (+ z 6012459259764103/1000000000000000) z) |
(+ z 6012459259764103/1000000000000000) |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
| Outputs |
|---|
(+ (* y 692910599291889/10000000000000000) x) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
y |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
x |
x |
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(fma.f64 y (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
x |
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(* y 11167812716741/40000000000000) |
(*.f64 y #s(literal 11167812716741/40000000000000 binary64)) |
y |
11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
(* (+ z 6012459259764103/1000000000000000) z) |
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
z |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
(+ x (/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
x |
(/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
y |
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
z |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
x |
(/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) |
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
z |
(+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000)) |
(*.f64 y (+.f64 #s(literal 307332350656623/625000000000000 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z (/.f64 #s(literal 11167812716741/40000000000000 binary64) z)))) |
(* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
y |
(+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))) |
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
(/ 11167812716741/40000000000000 (* z z)) |
(/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)) |
11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(* z z) |
(*.f64 z z) |
(* y 307332350656623/625000000000000) |
(*.f64 y #s(literal 307332350656623/625000000000000 binary64)) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
(* (+ z 6012459259764103/1000000000000000) z) |
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.8% | (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64))) |
| ✓ | accuracy | 90.8% | (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
| ✓ | accuracy | 85.8% | (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) |
| ✓ | accuracy | 71.5% | (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 y (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) |
| ✓ | accuracy | 99.6% | (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | accuracy | 74.1% | (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) |
| ✓ | accuracy | 99.2% | (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | accuracy | 91.3% | (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| 84.0ms | 256× | 0 | valid |
Compiled 264 to 37 computations (86% saved)
ival-mult: 25.0ms (39.5% of total)const: 17.0ms (26.8% of total)ival-add: 11.0ms (17.4% of total)ival-div: 10.0ms (15.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y 692910599291889/10000000000000000) x)> |
#<alt (+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))> |
#<alt (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)> |
#<alt (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))> |
#<alt (* y 11167812716741/40000000000000)> |
#<alt (/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))> |
#<alt (+ x (/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))> |
#<alt (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))> |
#<alt (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)> |
#<alt (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000)))> |
#<alt (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))> |
#<alt (+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))> |
#<alt (* (+ z 6012459259764103/1000000000000000) z)> |
#<alt (+ z 6012459259764103/1000000000000000)> |
#<alt (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)> |
#<alt (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)> |
#<alt (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))> |
#<alt x> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y)))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y)))> |
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y)))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 (* y z)) (* 279195317918525/3350343815022304 y)))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* -1678650474502018223880473708075/11224803678858206361900017468416 y)))))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (* -11167812716741/40000000000000 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))))))))> |
#<alt x> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2)))))> |
#<alt (+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 4))) (* 11167812716741/40000000000000 (/ y (pow z 2))))))> |
#<alt x> |
#<alt (+ x (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2)))))> |
#<alt (+ x (+ (* -1 (/ (+ (* 11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2)))))> |
#<alt 104698244219447/31250000000000> |
#<alt (+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 (* y z)) (* 279195317918525/3350343815022304 y))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* -1678650474502018223880473708075/11224803678858206361900017468416 y))))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (* -11167812716741/40000000000000 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))))))))> |
#<alt (* 11167812716741/40000000000000 (/ y (pow z 2)))> |
#<alt (/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (* 11167812716741/40000000000000 y))) (pow z 2))> |
#<alt (/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (+ (* -11167812716741/40000000000000 (/ (+ (* -629493927938257585512585111041/31250000000000000000000000000 y) (* -6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)))) (pow z 3))) (* 11167812716741/40000000000000 y)))) (pow z 2))> |
#<alt (* 11167812716741/40000000000000 (/ y (pow z 2)))> |
#<alt (/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) z)) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -11167812716741/40000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 11167812716741/40000000000000 (/ (+ (* 6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 629493927938257585512585111041/31250000000000000000000000000 y)) z))) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) z)) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (* 11167812716741/40000000000000 y)> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
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#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -11167812716741/40000000000000 (/ y z))) (+ (* -6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* -72546523146905574025723165383/312500000000000000000000000000 (/ y z)))) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -1 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) z))) z))) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))> |
#<alt (* 11167812716741/40000000000000 (/ y (pow z 2)))> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) |
| 3.0ms | y | @ | inf | (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 2.0ms | y | @ | inf | (+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 2.0ms | y | @ | 0 | (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) |
| 1.0ms | x | @ | 0 | (+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 1× | batch-egg-rewrite |
| 4 906× | /-lowering-/.f32 |
| 4 906× | /-lowering-/.f64 |
| 4 204× | *-lowering-*.f32 |
| 4 204× | *-lowering-*.f64 |
| 3 410× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 218 |
| 1 | 263 | 218 |
| 2 | 2234 | 218 |
| 0 | 8187 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y 692910599291889/10000000000000000) x) |
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000) |
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* y 11167812716741/40000000000000) |
(/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) |
(+ x (/ y (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) |
(+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000)) |
(+ x (/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(* (+ z 6012459259764103/1000000000000000) z) |
(+ z 6012459259764103/1000000000000000) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(/ (* z (+ (* z (* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z))))) (* y 307332350656623/625000000000000))) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(* y (+ 692910599291889/10000000000000000 (/ 11167812716741/40000000000000 (* z z)))) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) |
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))) |
(*.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))) |
(fma.f64 y (/.f64 #s(literal 11167812716741/40000000000000 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 124720040876201995101661081/1600000000000000000000000000 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))) y)) (neg.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(*.f64 (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) y) |
| 1× | egg-herbie |
| 10 924× | accelerator-lowering-fma.f32 |
| 10 924× | accelerator-lowering-fma.f64 |
| 5 660× | *-lowering-*.f32 |
| 5 660× | *-lowering-*.f64 |
| 3 878× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 481 | 5434 |
| 1 | 1499 | 5126 |
| 2 | 4688 | 4993 |
| 0 | 8235 | 4502 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
(* 692910599291889/10000000000000000 y) |
(* y (+ 692910599291889/10000000000000000 (/ x y))) |
(* y (+ 692910599291889/10000000000000000 (/ x y))) |
(* y (+ 692910599291889/10000000000000000 (/ x y))) |
(* 692910599291889/10000000000000000 y) |
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000))) |
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000))) |
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000))) |
(* 692910599291889/10000000000000000 y) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
x |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
x |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
x |
(* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
x |
(* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
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(* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
x |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y))) |
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ x y))) |
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(* -1 (* y (- (* -1 (/ x y)) (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
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(* -1 (* y (- (* -1 (/ x y)) (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))) |
(+ x (* 279195317918525/3350343815022304 y)) |
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(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* -1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (* -11167812716741/40000000000000 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))))))))) |
x |
(+ x (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2))))) |
(+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 4))) (* 11167812716741/40000000000000 (/ y (pow z 2)))))) |
x |
(+ x (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ x (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2))))) |
(+ x (+ (* -1 (/ (+ (* 11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) (pow z 3))) (* 11167812716741/40000000000000 (/ y (pow z 2))))) |
104698244219447/31250000000000 |
(+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z)) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* 279195317918525/3350343815022304 y) |
(+ (* -1678650474502018223880473708075/11224803678858206361900017468416 (* y z)) (* 279195317918525/3350343815022304 y)) |
(+ (* 279195317918525/3350343815022304 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* -1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (+ (* -1678650474502018223880473708075/11224803678858206361900017468416 y) (* z (+ (* -11167812716741/40000000000000 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (* -11167812716741/40000000000000 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))))))) |
(* 11167812716741/40000000000000 (/ y (pow z 2))) |
(/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (* 11167812716741/40000000000000 y))) (pow z 2)) |
(/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (+ (* -11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (+ (* -11167812716741/40000000000000 (/ (+ (* -629493927938257585512585111041/31250000000000000000000000000 y) (* -6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)))) (pow z 3))) (* 11167812716741/40000000000000 y)))) (pow z 2)) |
(* 11167812716741/40000000000000 (/ y (pow z 2))) |
(/ (+ (* -67146018980080728955218948323/40000000000000000000000000000 (/ y z)) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* 11167812716741/40000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) z)) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -11167812716741/40000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 11167812716741/40000000000000 (/ (+ (* 6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 629493927938257585512585111041/31250000000000000000000000000 y)) z))) z)) (* 67146018980080728955218948323/40000000000000000000000000000 y)) z)) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(* 11167812716741/40000000000000 y) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* 279195317918525/3350343815022304 y) |
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(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(* 692910599291889/10000000000000000 y) |
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104698244219447/31250000000000 |
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x |
(* x (+ 1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* x (+ 1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* x (+ 1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
x |
(* -1 (* x (- (* -1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* 307332350656623/625000000000000 y) (* y (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1))) |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+ x (* 692910599291889/10000000000000000 y)) |
(- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ x (+ (* -1847823237530481257156134604169/625000000000000000000000000000 (/ y (pow z 2))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))) (+ (* -25048486975004216764772600916696218423996026401/10000000000000000000000000000000000000000000000 (/ y (pow z 2))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))))) |
(- (+ x (+ (* -1847823237530481257156134604169/625000000000000000000000000000 (/ y (pow z 2))) (+ (* -307332350656623/625000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))))) (+ (* -25048486975004216764772600916696218423996026401/10000000000000000000000000000000000000000000000 (/ y (pow z 2))) (+ (* -436183014858303251725789139707583779035646449/312500000000000000000000000000000000000000000 (/ y (pow z 3))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -25048486975004216764772600916696218423996026401/10000000000000000000000000000000000000000000000 y) (* 72546523146905574025723165383/312500000000000000000000000000 y))) (pow z 3)))))))) |
(+ x (* 692910599291889/10000000000000000 y)) |
(- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(+ x (+ (* -1 (/ (- (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -11167812716741/40000000000000 (/ y z))) (+ (* -6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* -72546523146905574025723165383/312500000000000000000000000000 (/ y z)))) z)) (* 692910599291889/10000000000000000 y))) |
(+ x (+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -1 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) z))) z))) z)) (* 692910599291889/10000000000000000 y))) |
x |
(+ x (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(+ x (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(+ x (/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* y (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(* y (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(* y (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) |
(* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))) |
(* 6012459259764103/1000000000000000 z) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(* z (+ 6012459259764103/1000000000000000 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
6012459259764103/1000000000000000 |
(+ 6012459259764103/1000000000000000 z) |
(+ 6012459259764103/1000000000000000 z) |
(+ 6012459259764103/1000000000000000 z) |
z |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
z |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
307332350656623/625000000000000 |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
11167812716741/40000000000000 |
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z)) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* 279195317918525/3350343815022304 y) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(+ (* -1 (/ (- (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -11167812716741/40000000000000 (/ y z))) (+ (* -6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* -72546523146905574025723165383/312500000000000000000000000000 (/ y z)))) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -1 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* -11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) z))) z))) z)) (* 692910599291889/10000000000000000 y)) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* -1 (/ (* y (* z (- (* -1 (* z (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2)))))) 307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(* 11167812716741/40000000000000 (/ y (pow z 2))) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(* 692910599291889/10000000000000000 y) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(* 692910599291889/10000000000000000 y) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
| Outputs |
|---|
x |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(+ x (* 692910599291889/10000000000000000 y)) |
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(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* y (+ 692910599291889/10000000000000000 (* 11167812716741/40000000000000 (/ 1 (pow z 2))))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* 11167812716741/40000000000000 (/ y (pow z 2))) |
(*.f64 y (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/.f64 (fma.f64 z (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 y z)) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (*.f64 z z)) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/.f64 (fma.f64 z (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 y z)) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (*.f64 z z)) |
(/ (+ (* 692910599291889/10000000000000000 (* y (pow z 2))) (* 11167812716741/40000000000000 y)) (pow z 2)) |
(/.f64 (fma.f64 z (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 y z)) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (*.f64 z z)) |
(* 692910599291889/10000000000000000 y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(* 692910599291889/10000000000000000 y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
(+ (* 692910599291889/10000000000000000 y) (* 11167812716741/40000000000000 (/ y (pow z 2)))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) |
Compiled 34 818 to 3 035 computations (91.3% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 135 | 6 | 1 141 |
| Fresh | 8 | 8 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 146 | 16 | 1 162 |
| Status | Accuracy | Program |
|---|---|---|
| 73.1% | (fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) x) | |
| 74.0% | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) | |
| 66.9% | (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) | |
| 66.4% | (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) | |
| 60.1% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x)) | |
| 79.6% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) | |
| ✓ | 82.5% | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| ▶ | 32.6% | (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| 76.2% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z y) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| ▶ | 75.0% | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
| 75.3% | (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) | |
| 79.0% | (+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) | |
| ▶ | 82.6% | (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
| ▶ | 79.6% | (+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
| ▶ | 31.1% | (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
| ✓ | 54.4% | x |
Compiled 389 to 280 computations (28% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
| 670× | accelerator-lowering-fma.f32 |
| 670× | accelerator-lowering-fma.f64 |
| 414× | *-lowering-*.f32 |
| 414× | *-lowering-*.f64 |
| 188× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 132 |
| 1 | 73 | 132 |
| 2 | 143 | 132 |
| 3 | 216 | 132 |
| 4 | 264 | 132 |
| 5 | 310 | 132 |
| 6 | 370 | 132 |
| 7 | 454 | 132 |
| 8 | 554 | 132 |
| 9 | 560 | 132 |
| 0 | 560 | 116 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y 10000000000000000/692910599291889)) |
x |
(/ y 10000000000000000/692910599291889) |
y |
10000000000000000/692910599291889 |
(* 692910599291889/10000000000000000 y) |
692910599291889/10000000000000000 |
y |
(+ x (/ y 3350343815022304/279195317918525)) |
x |
(/ y 3350343815022304/279195317918525) |
y |
3350343815022304/279195317918525 |
(+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
x |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
y |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
z |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
-54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 |
155900051080628738716045985239/389750127738131234692690878125 |
3350343815022304/279195317918525 |
(/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
y |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
z |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
692910599291889/10000000000000000 |
307332350656623/625000000000000 |
11167812716741/40000000000000 |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(+ z 6012459259764103/1000000000000000) |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
| Outputs |
|---|
(+ x (/ y 10000000000000000/692910599291889)) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
x |
(/ y 10000000000000000/692910599291889) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
y |
10000000000000000/692910599291889 |
#s(literal 10000000000000000/692910599291889 binary64) |
(* 692910599291889/10000000000000000 y) |
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
y |
(+ x (/ y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
x |
(/ y 3350343815022304/279195317918525) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
y |
3350343815022304/279195317918525 |
#s(literal 3350343815022304/279195317918525 binary64) |
(+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
x |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
y |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
(fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
z |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
(fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
-54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 |
#s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) |
155900051080628738716045985239/389750127738131234692690878125 |
#s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) |
3350343815022304/279195317918525 |
#s(literal 3350343815022304/279195317918525 binary64) |
(/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
y |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
z |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | accuracy | 94.0% | (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) |
| ✓ | accuracy | 71.5% | (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
| ✓ | accuracy | 91.5% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | accuracy | 99.1% | (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
| 80.0ms | 256× | 0 | valid |
Compiled 118 to 34 computations (71.2% saved)
const: 34.0ms (54.2% of total)ival-add: 10.0ms (15.9% of total)ival-mult: 10.0ms (15.9% of total)ival-div: 8.0ms (12.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y 10000000000000000/692910599291889))> |
#<alt (/ y 10000000000000000/692910599291889)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ x (/ y 3350343815022304/279195317918525))> |
#<alt (/ y 3350343815022304/279195317918525)> |
#<alt (+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)))> |
#<alt (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))> |
#<alt (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)> |
#<alt (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)> |
#<alt (/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))> |
#<alt (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))> |
#<alt (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)> |
#<alt (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)> |
| Outputs |
|---|
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (+ x (* 692910599291889/10000000000000000 y))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt (* x (+ 1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt (* x (+ 1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))) 1)))> |
#<alt x> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt (+ x (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (* y (+ (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) (/ x y)))> |
#<alt (* y (+ (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) (/ x y)))> |
#<alt (* y (+ (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) (/ x y)))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))))))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y)))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* -1 (* z (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y)))))> |
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* z (- (* -1 (* z (+ (* -155900051080628738716045985239/4677001532857580400218648908000 (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y))) (* 1070377833084588788973726117727052156316360747232465402421474123721781633/45804106819576553687002174162632330067352620404716328681375507468948160000000 y)))) (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y)))))> |
#<alt x> |
#<alt (+ x (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y (pow z 3))) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2)))))> |
#<alt (- (+ x (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))) (* -1 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) (pow z 4))))) (* 118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y (pow z 3))))> |
#<alt x> |
#<alt (+ x (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y (pow z 3))) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2)))))> |
#<alt (+ x (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))) (* -1 (/ (- (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y z)) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y z))) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) (pow z 3)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (* -1 (* z (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y))))> |
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#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))> |
#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))> |
#<alt 11167812716741/40000000000000> |
#<alt (+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z))> |
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))> |
#<alt 307332350656623/625000000000000> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
| 2.0ms | z | @ | inf | (+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
| 1.0ms | x | @ | 0 | (+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
| 1.0ms | y | @ | -inf | (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
| 1.0ms | y | @ | inf | (+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
| 1× | batch-egg-rewrite |
| 4 972× | /-lowering-/.f32 |
| 4 972× | /-lowering-/.f64 |
| 3 748× | accelerator-lowering-fma.f32 |
| 3 748× | accelerator-lowering-fma.f64 |
| 3 626× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 101 |
| 1 | 217 | 101 |
| 2 | 1791 | 101 |
| 0 | 8465 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y 10000000000000000/692910599291889)) |
(/ y 10000000000000000/692910599291889) |
(* 692910599291889/10000000000000000 y) |
(+ x (/ y 3350343815022304/279195317918525)) |
(/ y 3350343815022304/279195317918525) |
(+ x (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))) |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
(/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
| Outputs |
|---|
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) |
(+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -692910599291889/10000000000000000 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) #s(literal 692910599291889/10000000000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) #s(literal 692910599291889/10000000000000000 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) #s(literal 692910599291889/10000000000000000 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (*.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)))) (*.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))))) (neg.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -10000000000000000/692910599291889 binary64))) |
(neg.f64 (/.f64 y #s(literal -10000000000000000/692910599291889 binary64))) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10000000000000000/692910599291889 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 10000000000000000/692910599291889 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) #s(literal -10000000000000000/692910599291889 binary64)) |
(pow.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -692910599291889/10000000000000000 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -10000000000000000/692910599291889 binary64))) |
(neg.f64 (/.f64 y #s(literal -10000000000000000/692910599291889 binary64))) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10000000000000000/692910599291889 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 10000000000000000/692910599291889 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) #s(literal -10000000000000000/692910599291889 binary64)) |
(pow.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -692910599291889/10000000000000000 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) |
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64))) |
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -279195317918525/3350343815022304 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64))) (fma.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64))) (fma.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x))) |
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(*.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64)))) |
| 1× | egg-herbie |
| 15 980× | accelerator-lowering-fma.f32 |
| 15 980× | accelerator-lowering-fma.f64 |
| 5 486× | *-lowering-*.f32 |
| 5 486× | *-lowering-*.f64 |
| 4 250× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2382 |
| 1 | 957 | 2296 |
| 2 | 2818 | 2147 |
| 0 | 8557 | 1897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 692910599291889/10000000000000000 y) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
(+ x (* 692910599291889/10000000000000000 y)) |
x |
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(* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))) |
(/ (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y)) (pow z 2)) |
(/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y z)) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y z))) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2)) |
(/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (* -1 (/ (- (+ (* -24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 (/ y z)) (* -217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) z))) (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) z)) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2)) |
3350343815022304/279195317918525 |
(+ 3350343815022304/279195317918525 (* 155900051080628738716045985239/389750127738131234692690878125 z)) |
(+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))) |
(+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2)) |
(* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2)) |
(* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
155900051080628738716045985239/389750127738131234692690878125 |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* 279195317918525/3350343815022304 y) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(* 692910599291889/10000000000000000 y) |
(+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) |
(* 11167812716741/40000000000000 y) |
(+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z))) |
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))) |
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y))) |
11167812716741/40000000000000 |
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z)) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
307332350656623/625000000000000 |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
| Outputs |
|---|
(* 692910599291889/10000000000000000 y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
x |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 y x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
x |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(+ x (* 692910599291889/10000000000000000 y)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) |
(* 692910599291889/10000000000000000 y) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(* y (+ 692910599291889/10000000000000000 (/ x y))) |
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y))) |
(* y (+ 692910599291889/10000000000000000 (/ x y))) |
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(* 279195317918525/3350343815022304 y) |
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3350343815022304/279195317918525 |
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(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2)) |
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155900051080628738716045985239/389750127738131234692690878125 |
#s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) |
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11167812716741/40000000000000 |
#s(literal 11167812716741/40000000000000 binary64) |
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z)) |
(fma.f64 z #s(literal 307332350656623/625000000000000 binary64) #s(literal 11167812716741/40000000000000 binary64)) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(*.f64 z (fma.f64 z (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(*.f64 z (fma.f64 z (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) #s(literal 307332350656623/625000000000000 binary64))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(*.f64 z (fma.f64 z (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z))))) |
(*.f64 z (fma.f64 z (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z))) #s(literal 307332350656623/625000000000000 binary64))) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* 692910599291889/10000000000000000 z) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* 692910599291889/10000000000000000 z) |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
Compiled 11 764 to 1 451 computations (87.7% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 585 | 9 | 594 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 593 | 17 | 610 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) | |
| ▶ | 79.6% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
| ✓ | 82.5% | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| ▶ | 12.2% | (/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| ▶ | 23.0% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| 31.3% | (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) | |
| 31.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) | |
| 76.2% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z y) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| 75.3% | (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) | |
| 79.0% | (+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) | |
| ✓ | 79.6% | (+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
| 35.2% | (*.f64 (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) | |
| 23.5% | (*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) | |
| ▶ | 27.8% | (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
| ▶ | 27.9% | (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
| ✓ | 31.1% | (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
| ✓ | 54.4% | x |
Compiled 339 to 255 computations (24.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) |
| ✓ | cost-diff | -64 | (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
| 14 732× | accelerator-lowering-fma.f32 |
| 14 732× | accelerator-lowering-fma.f64 |
| 2 768× | *-lowering-*.f32 |
| 2 768× | *-lowering-*.f64 |
| 1 496× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 116 |
| 1 | 67 | 116 |
| 2 | 151 | 116 |
| 3 | 247 | 116 |
| 4 | 350 | 116 |
| 5 | 461 | 116 |
| 6 | 570 | 116 |
| 7 | 719 | 116 |
| 8 | 991 | 116 |
| 9 | 1240 | 116 |
| 10 | 2382 | 116 |
| 11 | 3696 | 116 |
| 12 | 4764 | 116 |
| 13 | 5969 | 116 |
| 14 | 6783 | 116 |
| 15 | 7126 | 116 |
| 16 | 7259 | 116 |
| 17 | 7605 | 116 |
| 18 | 7685 | 116 |
| 19 | 7693 | 116 |
| 20 | 7695 | 116 |
| 21 | 7695 | 116 |
| 0 | 8150 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y 279195317918525/3350343815022304) x) |
y |
279195317918525/3350343815022304 |
x |
(* y 279195317918525/3350343815022304) |
y |
279195317918525/3350343815022304 |
(* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) |
y |
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z)) |
692910599291889/10000000000000000 |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
-751220861604756070699018739433/10000000000000000000000000000000 |
z |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
y |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
z |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
-54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 |
155900051080628738716045985239/389750127738131234692690878125 |
3350343815022304/279195317918525 |
(/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) |
y |
(* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) |
z |
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000) |
692910599291889/10000000000000000 |
307332350656623/625000000000000 |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(+ z 6012459259764103/1000000000000000) |
6012459259764103/1000000000000000 |
104698244219447/31250000000000 |
| Outputs |
|---|
(+ (* y 279195317918525/3350343815022304) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
y |
279195317918525/3350343815022304 |
#s(literal 279195317918525/3350343815022304 binary64) |
x |
(* y 279195317918525/3350343815022304) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) #s(literal 0 binary64)) |
y |
279195317918525/3350343815022304 |
#s(literal 279195317918525/3350343815022304 binary64) |
(* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) |
(fma.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 0 binary64)) |
y |
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) |
-751220861604756070699018739433/10000000000000000000000000000000 |
#s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) |
z |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
y |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
(fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
z |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
(fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
-54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 |
#s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) |
155900051080628738716045985239/389750127738131234692690878125 |
#s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) |
3350343815022304/279195317918525 |
#s(literal 3350343815022304/279195317918525 binary64) |
(/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(fma.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) (/.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 0 binary64)) |
(* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) |
(fma.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
y |
(* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) |
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 0 binary64)) |
z |
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000) |
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
692910599291889/10000000000000000 |
#s(literal 692910599291889/10000000000000000 binary64) |
307332350656623/625000000000000 |
#s(literal 307332350656623/625000000000000 binary64) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) |
(+ z 6012459259764103/1000000000000000) |
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) |
6012459259764103/1000000000000000 |
#s(literal 6012459259764103/1000000000000000 binary64) |
104698244219447/31250000000000 |
#s(literal 104698244219447/31250000000000 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) |
| ✓ | accuracy | 94.3% | (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) |
| ✓ | accuracy | 71.5% | (/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) |
| ✓ | accuracy | 91.5% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) |
| ✓ | accuracy | 99.5% | (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
| ✓ | accuracy | 99.7% | (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
| 129.0ms | 256× | 0 | valid |
Compiled 106 to 32 computations (69.8% saved)
const: 32.0ms (49.1% of total)ival-add: 15.0ms (23% of total)ival-mult: 12.0ms (18.4% of total)ival-div: 5.0ms (7.7% of total)ival-sub: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y 279195317918525/3350343815022304) x)> |
#<alt (* y 279195317918525/3350343815022304)> |
#<alt (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z)))> |
#<alt (/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525))> |
#<alt (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)> |
#<alt (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)> |
#<alt (/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))> |
#<alt (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)> |
#<alt (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)> |
#<alt (+ z 6012459259764103/1000000000000000)> |
#<alt (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)))> |
#<alt (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt (+ x (* 279195317918525/3350343815022304 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)> |
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)> |
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)> |
#<alt 692910599291889/10000000000000000> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt 692910599291889/10000000000000000> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))> |
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)> |
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))))> |
#<alt (* 279195317918525/3350343815022304 y)> |
#<alt (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (* -1 (* z (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y))))> |
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (* z (- (* -1 (* z (+ (* -155900051080628738716045985239/4677001532857580400218648908000 (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y))) (* 1070377833084588788973726117727052156316360747232465402421474123721781633/45804106819576553687002174162632330067352620404716328681375507468948160000000 y)))) (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y))))> |
#<alt (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2)))> |
#<alt (/ (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y)) (pow z 2))> |
#<alt (/ (- (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) (pow z 2)))) (* 118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z))) (pow z 2))> |
#<alt (/ (- (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (+ (* 217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) (* 24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 y)) (pow z 3)))) (+ (* 118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y (pow z 2))) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y (pow z 2)))))) (pow z 2))> |
#<alt (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2)))> |
#<alt (/ (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y)) (pow z 2))> |
#<alt (/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y z)) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y z))) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2))> |
#<alt (/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (* -1 (/ (- (+ (* -24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 (/ y z)) (* -217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) z))) (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) z)) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2))> |
#<alt 3350343815022304/279195317918525> |
#<alt (+ 3350343815022304/279195317918525 (* 155900051080628738716045985239/389750127738131234692690878125 z))> |
#<alt (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))> |
#<alt (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))> |
#<alt (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2))> |
#<alt (* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2))> |
#<alt (* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt 155900051080628738716045985239/389750127738131234692690878125> |
#<alt (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))> |
#<alt (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))> |
#<alt (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))> |
#<alt (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)> |
#<alt (* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125))> |
#<alt (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)> |
#<alt (* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)))))> |
#<alt (* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)))))> |
#<alt (* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))> |
#<alt (* 307332350656623/2093964884388940 (* y z))> |
#<alt (* z (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))> |
#<alt (* z (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))) (* 692910599291889/33503438150223040 y)) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))> |
#<alt (* z (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* 692910599291889/33503438150223040 y) (* z (- (* -1 (* z (+ (* -6012459259764103/3350343815022304 (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))) (* 31250000000000/104698244219447 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))) (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))))) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (- (+ (* -1 (/ (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow z 2))) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (- (+ (* -1 (/ (+ (* -6012459259764103/1000000000000000 (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))) (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))> |
#<alt (* 692910599291889/10000000000000000 y)> |
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)) z))) z)) (* 692910599291889/10000000000000000 y))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) z)) (* -72546523146905574025723165383/312500000000000000000000000000 y))) z))) z)) (* 692910599291889/10000000000000000 y))> |
#<alt 307332350656623/625000000000000> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* 692910599291889/10000000000000000 z)> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt 104698244219447/31250000000000> |
#<alt (+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))> |
#<alt 6012459259764103/1000000000000000> |
#<alt (+ 6012459259764103/1000000000000000 z)> |
#<alt (+ 6012459259764103/1000000000000000 z)> |
#<alt (+ 6012459259764103/1000000000000000 z)> |
#<alt z> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt z> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))> |
#<alt (* 307332350656623/625000000000000 (* y z))> |
#<alt (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))> |
#<alt (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))> |
#<alt (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y)))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))> |
#<alt (* 307332350656623/625000000000000 z)> |
#<alt (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))> |
#<alt (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))> |
#<alt (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* 692910599291889/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | y | @ | 0 | (/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | -inf | (/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
| 0.0ms | z | @ | inf | (/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 5 348× | accelerator-lowering-fma.f32 |
| 5 348× | accelerator-lowering-fma.f64 |
| 4 242× | /-lowering-/.f32 |
| 4 242× | /-lowering-/.f64 |
| 3 908× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 96 |
| 1 | 185 | 96 |
| 2 | 1432 | 96 |
| 0 | 8199 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y 279195317918525/3350343815022304) x) |
(* y 279195317918525/3350343815022304) |
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) |
(/ y (+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)) |
(+ (* z (+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525) |
(+ (* z -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125) 155900051080628738716045985239/389750127738131234692690878125) |
(/ (* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) |
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000) |
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) |
(+ z 6012459259764103/1000000000000000) |
(* y (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000))) |
(* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -279195317918525/3350343815022304 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (+.f64 x (*.f64 #s(literal -279195317918525/3350343815022304 binary64) y)))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
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(*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64)) (*.f64 z (*.f64 z z)) (*.f64 #s(literal 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 z z) (-.f64 (*.f64 #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)) (*.f64 z #s(literal 307332350656623/625000000000000 binary64))))))) |
(*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z) (*.f64 #s(literal -307332350656623/625000000000000 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z) (*.f64 #s(literal -307332350656623/625000000000000 binary64) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) #s(literal 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 z #s(literal 212953843275265618747988030847/6250000000000000000000000000000 binary64))))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) #s(literal 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 z #s(literal 212953843275265618747988030847/6250000000000000000000000000000 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64)))) |
| 1× | egg-herbie |
| 12 690× | accelerator-lowering-fma.f32 |
| 12 690× | accelerator-lowering-fma.f64 |
| 4 976× | *-lowering-*.f32 |
| 4 976× | *-lowering-*.f64 |
| 2 788× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1889 |
| 1 | 818 | 1830 |
| 2 | 2394 | 1718 |
| 3 | 7777 | 1718 |
| 0 | 8814 | 1563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (* 279195317918525/3350343815022304 y)) |
(* 279195317918525/3350343815022304 y) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(* 279195317918525/3350343815022304 y) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(* 279195317918525/3350343815022304 y) |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (* 279195317918525/3350343815022304 y)) |
(+ x (* 279195317918525/3350343815022304 y)) |
x |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
x |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(* 279195317918525/3350343815022304 y) |
(/ 751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z) |
(/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z) |
(/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z) |
692910599291889/10000000000000000 |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
692910599291889/10000000000000000 |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(/ -751220861604756070699018739433/10000000000000000000000000000000 z) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) |
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)) |
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z) |
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z) |
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z) |
(* 692910599291889/10000000000000000 y) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(* 692910599291889/10000000000000000 y) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(/ y (+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z))))) |
(* 279195317918525/3350343815022304 y) |
(+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y)) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (* -1 (* z (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y)))) |
(+ (* 279195317918525/3350343815022304 y) (* z (- (* z (- (* -1 (* z (+ (* -155900051080628738716045985239/4677001532857580400218648908000 (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y))) (* 1070377833084588788973726117727052156316360747232465402421474123721781633/45804106819576553687002174162632330067352620404716328681375507468948160000000 y)))) (+ (* -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y) (* -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))) (* 155900051080628738716045985239/56124018394291031809500087342080 y)))) |
(* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))) |
(/ (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y)) (pow z 2)) |
(/ (- (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) (pow z 2)))) (* 118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z))) (pow z 2)) |
(/ (- (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (+ (* 217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) (* 24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 y)) (pow z 3)))) (+ (* 118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y (pow z 2))) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y (pow z 2)))))) (pow z 2)) |
(* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 (/ y (pow z 2))) |
(/ (+ (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 (/ y z)) (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y)) (pow z 2)) |
(/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 (/ y z)) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 (/ y z))) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2)) |
(/ (+ (* -544082054113166395691471098236108147273828125/54926362148836417054593262229306108478309176 y) (* -1 (/ (- (* -1 (/ (- (+ (* -24159306490740417402262491217732652704931320085669263633364978284658628339571700203805183550960353066115880114320472405512237548828125/5178363463104758000171700512258935976257842267524900390635406724614576203292951883009136331731745757754211026870763241063352256368 (/ y z)) (* -217632821624852138419855720322680321773262375/54926362148836417054593262229306108478309176 (/ (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y)) z))) (+ (* 25769926921039140707621066116446730331590254820696212010880808545864803000811900941919959781448924805066159456220149005437139892578125/165707630819352256005494416392285951240250952560796812500333015187666438505374460256292362615415864248134752859864423714027272203776 y) (* 111009480603001079798528053119773519912310004006920137612732664042588284127718182373046875/94278289340785308312481425299512772945777791965091403669361990944072480227302620181218 y))) z)) (* -118410112632093890925216779790989055085468458991835393365927013997070430991638236279296875/3016905258905129865999405609584408734264889342882924917419583710210319367273683845798976 y)) z))) (pow z 2)) |
3350343815022304/279195317918525 |
(+ 3350343815022304/279195317918525 (* 155900051080628738716045985239/389750127738131234692690878125 z)) |
(+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))) |
(+ 3350343815022304/279195317918525 (* z (+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)))) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2)) |
(* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow z 2)) |
(* (pow z 2) (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* (pow z 2) (- (+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) (/ 3350343815022304/279195317918525 (pow z 2))) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
155900051080628738716045985239/389750127738131234692690878125 |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(+ 155900051080628738716045985239/389750127738131234692690878125 (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* z (- (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z)) 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125)) |
(* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 z) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(* -1 (* z (- 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 z))))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(/ (* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))) |
(* 307332350656623/2093964884388940 (* y z)) |
(* z (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))) |
(* z (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))) (* 692910599291889/33503438150223040 y)) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))) |
(* z (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* 692910599291889/33503438150223040 y) (* z (- (* -1 (* z (+ (* -6012459259764103/3350343815022304 (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))) (* 31250000000000/104698244219447 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y)))))) (+ (* 480206797900973437500000000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))))) (* 1847823237530481257156134604169/7015502299286378976187510917760 y))))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* -1 (/ (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow z 2))) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(- (+ (* -1 (/ (+ (* -6012459259764103/1000000000000000 (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))) (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2)))))) |
(* 692910599291889/10000000000000000 y) |
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z))) |
(+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)) z))) z)) (* 692910599291889/10000000000000000 y)) |
(+ (* -1 (/ (+ (* -1 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -1 (/ (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (+ (* -6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* -72546523146905574025723165383/312500000000000000000000000000 y)))) z)) (* -72546523146905574025723165383/312500000000000000000000000000 y))) z))) z)) (* 692910599291889/10000000000000000 y)) |
307332350656623/625000000000000 |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* 692910599291889/10000000000000000 z) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
104698244219447/31250000000000 |
(+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z)) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2))))) |
6012459259764103/1000000000000000 |
(+ 6012459259764103/1000000000000000 z) |
(+ 6012459259764103/1000000000000000 z) |
(+ 6012459259764103/1000000000000000 z) |
z |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
z |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(* 307332350656623/625000000000000 (* y z)) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(* 307332350656623/625000000000000 z) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
| Outputs |
|---|
x |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 x y))) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 x y))) |
(* y (+ 279195317918525/3350343815022304 (/ x y))) |
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 x y))) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -279195317918525/3350343815022304 binary64) (/.f64 x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -279195317918525/3350343815022304 binary64) (/.f64 x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304))) |
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -279195317918525/3350343815022304 binary64) (/.f64 x y)))) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
(+ x (* 279195317918525/3350343815022304 y)) |
(fma.f64 #s(literal 279195317918525/3350343815022304 binary64) y x) |
x |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x)))) |
(*.f64 x (fma.f64 #s(literal 279195317918525/3350343815022304 binary64) (/.f64 y x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 y x) #s(literal -279195317918525/3350343815022304 binary64) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 y x) #s(literal -279195317918525/3350343815022304 binary64) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 y x) #s(literal -279195317918525/3350343815022304 binary64) #s(literal -1 binary64)))) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(* 279195317918525/3350343815022304 y) |
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y) |
(/ 751220861604756070699018739433/10000000000000000000000000000000 z) |
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) |
(/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z) |
(/.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z) |
(/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z) |
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(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* y (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* 307332350656623/625000000000000 (* y z)) |
(*.f64 y (*.f64 z #s(literal 307332350656623/625000000000000 binary64))) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(*.f64 z (*.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* 692910599291889/10000000000000000 (* y (pow z 2))) |
(*.f64 z (*.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) |
(*.f64 y (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) |
(* 307332350656623/625000000000000 z) |
(*.f64 z #s(literal 307332350656623/625000000000000 binary64)) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* 692910599291889/10000000000000000 (pow z 2)) |
(*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) |
Compiled 15 296 to 1 928 computations (87.4% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 5 | 713 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 713 | 17 | 730 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) | |
| ✓ | 79.6% | (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
| ✓ | 82.5% | (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| 18.4% | (/.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z) | |
| 16.9% | (/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) | |
| ✓ | 23.0% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
| 23.5% | (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) | |
| 31.3% | (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) | |
| 27.9% | (/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) | |
| 31.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) | |
| 76.2% | (+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z y) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) | |
| 35.2% | (*.f64 (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) | |
| 23.5% | (*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) | |
| ✓ | 27.8% | (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
| ✓ | 27.9% | (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
| ✓ | 31.1% | (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
| ✓ | 54.4% | x |
Compiled 728 to 290 computations (60.2% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
(+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x)) |
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) |
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) x) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 x (/.f64 (fma.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))) z (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 x (/.f64 (fma.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z y) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))) |
(+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal -307332350656623/625000000000000 binary64))) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal -104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) x) |
(+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (*.f64 y #s(literal 11167812716741/40000000000000 binary64))))) |
(+.f64 x (/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 124720040876201995101661081/1600000000000000000000000000 binary64) (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z z)))) (-.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| Outputs |
|---|
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
5 calls:
| 14.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 14.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 13.0ms | x |
| 13.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
| 82.6% | 1 | y |
| 99.9% | 3 | z |
| 99.8% | 2 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 99.8% | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
Compiled 58 to 44 computations (24.1% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
(+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x)) |
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) |
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
(+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) |
3 calls:
| 11.0ms | z |
| 10.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 8.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | z |
| 91.2% | 2 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 91.2% | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
Compiled 50 to 38 computations (24% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
| Outputs |
|---|
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)) |
(/.f64 (*.f64 y (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64))) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (neg.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) z #s(literal 155900051080628738716045985239/56124018394291031809500087342080 binary64))) z))) |
| Outputs |
|---|
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
1 calls:
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))) |
(*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(+.f64 x (/.f64 y #s(literal 3350343815022304/279195317918525 binary64))) |
| Outputs |
|---|
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64))) |
(*.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))) |
(/.f64 y #s(literal 3350343815022304/279195317918525 binary64)) |
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64)) |
| Outputs |
|---|
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
| Outputs |
|---|
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) |
4 calls:
| 2.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 2.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 1 | x |
| 82.5% | 1 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 84.9% | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 82.5% | 1 | z |
Compiled 54 to 41 computations (24.1% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) |
| Outputs |
|---|
x |
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) |
x |
5 calls:
| 3.0ms | y |
| 2.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 2.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) |
| 58.7% | 3 | z |
| 67.8% | 3 | x |
| 66.1% | 3 | y |
| 65.0% | 4 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
Compiled 58 to 44 computations (24.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
4 calls:
| 2.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | z |
| 54.4% | 1 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) |
| 54.4% | 1 | y |
| 54.4% | 1 | x |
Compiled 34 to 26 computations (23.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.994680859082519e+279 | +inf |
Compiled 27 to 24 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 43.0ms | -138816392693.2892 | -3.3744902717022547 |
| 48.0ms | 240× | 0 | valid |
Compiled 447 to 339 computations (24.2% saved)
const: 15.0ms (52.5% of total)ival-mult: 7.0ms (24.5% of total)ival-add: 5.0ms (17.5% of total)ival-div: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 34.0ms | -138816392693.2892 | -3.3744902717022547 |
| 41.0ms | 240× | 0 | valid |
Compiled 432 to 324 computations (25% saved)
const: 21.0ms (61.7% of total)ival-mult: 6.0ms (17.6% of total)ival-add: 5.0ms (14.7% of total)ival-div: 2.0ms (5.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 57.0ms | -138816392693.2892 | -3.3744902717022547 |
| 81.0ms | 240× | 0 | valid |
Compiled 387 to 294 computations (24% saved)
const: 62.0ms (83.1% of total)ival-mult: 6.0ms (8% of total)ival-add: 5.0ms (6.7% of total)ival-div: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 31.0ms | -138816392693.2892 | -3.3744902717022547 |
| 39.0ms | 240× | 0 | valid |
Compiled 342 to 264 computations (22.8% saved)
const: 18.0ms (56.3% of total)ival-add: 7.0ms (21.9% of total)ival-mult: 6.0ms (18.8% of total)ival-div: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 30.0ms | -138816392693.2892 | -3.3744902717022547 |
| 36.0ms | 240× | 0 | valid |
Compiled 327 to 249 computations (23.9% saved)
const: 17.0ms (57.6% of total)ival-mult: 6.0ms (20.3% of total)ival-add: 5.0ms (16.9% of total)ival-div: 2.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 31.0ms | -138816392693.2892 | -3.3744902717022547 |
| 36.0ms | 240× | 0 | valid |
Compiled 312 to 234 computations (25% saved)
const: 16.0ms (54.8% of total)ival-mult: 6.0ms (20.6% of total)ival-add: 5.0ms (17.1% of total)ival-div: 2.0ms (6.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.41273374496028e-7 | 1.307566948863748e-6 |
| 34.0ms | -138816392693.2892 | -3.3744902717022547 |
| 40.0ms | 240× | 0 | valid |
Compiled 267 to 204 computations (23.6% saved)
const: 20.0ms (59.9% of total)ival-mult: 7.0ms (21% of total)ival-add: 5.0ms (15% of total)ival-div: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.1075085724589023e+232 | -1.8353601952008855e+223 |
Compiled 27 to 24 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.1693362377828191e-55 | 4.174379598166455e-49 |
| 29.0ms | -4.471163647337279e-70 | -2.1461663268736876e-82 |
| 48.0ms | 304× | 0 | valid |
Compiled 255 to 214 computations (16.1% saved)
const: 19.0ms (47.9% of total)ival-add: 11.0ms (27.7% of total)ival-mult: 7.0ms (17.7% of total)ival-div: 2.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 18× | *-commutative_binary64 |
| 16× | if-if-or-not_binary32 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 249 |
| 1 | 111 | 249 |
| 2 | 120 | 249 |
| 3 | 126 | 249 |
| 4 | 131 | 249 |
| 5 | 133 | 249 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) (+.f64 x (/.f64 y (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 #s(literal -2504069538682520235663395798110/160041699537014921582740396107 binary64) z)))))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))) |
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) #s(literal -20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -165509173077177/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) x (if (<=.f64 x #s(literal 379596049073481/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x)) |
x |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y x) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)))) |
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(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 binary64) #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) #s(literal 3350343815022304/279195317918525 binary64)))) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (+.f64 x (/.f64 y (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64)))) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))) |
(if (<=.f64 z #s(literal -11/2 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 6139076427730539/4722366482869645213696 binary64)) (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))) |
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) #s(literal -20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) |
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) #s(literal -20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -165509173077177/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) x (if (<=.f64 x #s(literal 379596049073481/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x)) |
(if (<=.f64 x #s(literal -165509173077177/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) x (if (<=.f64 x #s(literal 379596049073481/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) |
x |
| 15 980× | accelerator-lowering-fma.f32 |
| 15 980× | accelerator-lowering-fma.f64 |
| 12 724× | accelerator-lowering-fma.f32 |
| 12 724× | accelerator-lowering-fma.f64 |
| 10 924× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2382 |
| 1 | 957 | 2296 |
| 2 | 2818 | 2147 |
| 0 | 8557 | 1897 |
| 0 | 481 | 5434 |
| 1 | 1499 | 5126 |
| 2 | 4688 | 4993 |
| 0 | 8235 | 4502 |
| 0 | 18 | 80 |
| 1 | 112 | 80 |
| 2 | 910 | 80 |
| 0 | 8347 | 67 |
| 0 | 200 | 2113 |
| 1 | 627 | 1962 |
| 2 | 1923 | 1764 |
| 3 | 7239 | 1764 |
| 0 | 8280 | 1543 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 672 to 361 computations (46.3% saved)
Compiled 760 to 272 computations (64.2% saved)
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