Midpoint on a great circle
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 9.4% | 9.4% | 90.4% | 0.2% | 0% | 0% | 0% | 9 |
| 9.4% | 9.4% | 90.4% | 0.2% | 0% | 0% | 0% | 10 |
| 10.9% | 10.9% | 88.9% | 0.2% | 0% | 0% | 0% | 11 |
| 10.9% | 10.9% | 88.9% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 87.0ms | 140× | 1 | valid |
| 16.0ms | 119× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
ival-cos: 55.0ms (58.9% of total)ival-sin: 13.0ms (13.9% of total)ival-atan2: 7.0ms (7.5% of total)adjust: 6.0ms (6.4% of total)ival-mult: 6.0ms (6.4% of total)ival-add: 4.0ms (4.3% of total)ival-sub: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 127 | (-5.082154016055105e-107 -6.845508662323089e+166 5.7459124099899915e-279 5.184563654126901e-306) | 0 | - | (sin.f64 (-.f64 lambda1 lambda2)) |
| 65 | 127 | (-5.082154016055105e-107 -6.845508662323089e+166 5.7459124099899915e-279 5.184563654126901e-306) | 0 | - | (cos.f64 (-.f64 lambda1 lambda2)) |
| 6 | 1 | (1.0505278769479278e-114 -2.0165848561794283e+258 -6.075030450068095e-182 3.875496911402279e-152) | 1 | (1.056972877618833e+56 3.904155507620978e-276 46.858967493991095 -6.462608876024804e-169) | (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) |
| 0 | 0 | - | 0 | - | lambda2 |
| 0 | 0 | - | 0 | - | phi1 |
| 0 | 0 | - | 0 | - | (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
| 0 | 0 | - | 0 | - | phi2 |
| 0 | 0 | - | 0 | - | (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))) |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))) |
| 0 | 0 | - | 0 | - | (-.f64 lambda1 lambda2) |
| 0 | 0 | - | 0 | - | lambda1 |
| 0 | 0 | - | 0 | - | (cos.f64 phi2) |
| 0 | 0 | - | 0 | - | (cos.f64 phi1) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (-.f64 lambda1 lambda2)) | sensitivity | 192 | 1 |
sin.f64 | (sin.f64 (-.f64 lambda1 lambda2)) | sensitivity | 192 | 0 |
+.f64 | (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) | cancellation | 5 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 0 |
| - | 186 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 0 |
| - | 186 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 2 |
| 2 | 186 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.3s | 2 184× | 1 | valid |
| 129.0ms | 876× | 0 | valid |
| 7.0ms | 12× | 2 | valid |
Compiled 3 180 to 696 computations (78.1% saved)
ival-cos: 706.0ms (57.3% of total)ival-sin: 179.0ms (14.5% of total)ival-atan2: 93.0ms (7.5% of total)adjust: 90.0ms (7.3% of total)ival-mult: 75.0ms (6.1% of total)ival-add: 52.0ms (4.2% of total)ival-sub: 31.0ms (2.5% of total)ival-true: 3.0ms (0.2% of total)ival-assert: 2.0ms (0.2% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 294 |
| 1 | 168 | 287 |
| 2 | 260 | 285 |
| 3 | 480 | 285 |
| 4 | 784 | 285 |
| 5 | 994 | 285 |
| 6 | 1259 | 285 |
| 7 | 1523 | 285 |
| 8 | 1851 | 285 |
| 9 | 2185 | 285 |
| 10 | 2611 | 285 |
| 11 | 2780 | 285 |
| 12 | 2875 | 285 |
| 13 | 2915 | 285 |
| 14 | 2939 | 285 |
| 15 | 2943 | 285 |
| 16 | 2943 | 285 |
| 0 | 14 | 20 |
| 0 | 24 | 20 |
| 1 | 30 | 20 |
| 2 | 35 | 20 |
| 3 | 41 | 20 |
| 4 | 50 | 20 |
| 5 | 74 | 20 |
| 6 | 113 | 20 |
| 7 | 152 | 20 |
| 8 | 221 | 20 |
| 9 | 274 | 20 |
| 10 | 362 | 20 |
| 11 | 397 | 20 |
| 12 | 426 | 20 |
| 13 | 490 | 20 |
| 14 | 529 | 20 |
| 15 | 548 | 20 |
| 16 | 568 | 20 |
| 17 | 590 | 20 |
| 18 | 606 | 20 |
| 19 | 609 | 20 |
| 0 | 609 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
| Outputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
(+.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) (cos.f64 phi1))) lambda1) |
(abs phi2)
(abs phi1)
Compiled 20 to 14 computations (30% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
Compiled 40 to 28 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 20 |
| 1 | 20 | 20 |
| 2 | 25 | 20 |
| 3 | 27 | 20 |
| 4 | 28 | 20 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
| Outputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) |
(+.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))) lambda1) |
| 1× | fuel |
Compiled 20 to 14 computations (30% saved)
(abs phi1)
(abs phi2)
Compiled 240 to 168 computations (30% saved)
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