Midpoint on a great circle
Time bar (total: 3.3s)
| 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)
| 89.0ms | 144× | 1 | valid |
| 14.0ms | 116× | 0 | valid |
ival-cos: 56.0ms (58.9% of total)ival-sin: 13.0ms (13.7% of total)adjust: 9.0ms (9.5% of total)ival-atan2: 7.0ms (7.4% of total)ival-mult: 5.0ms (5.3% of total)ival-add: 3.0ms (3.2% 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 |
|---|---|---|---|---|---|
| 76 | 121 | (1.3055613914903282e-295 6.182995586542432e+227 9.75617669585152e-196 2.3858977558235082e-217) | 0 | - | (sin.f64 (-.f64 lambda1 lambda2)) |
| 76 | 121 | (1.3055613914903282e-295 6.182995586542432e+227 9.75617669585152e-196 2.3858977558235082e-217) | 0 | - | (cos.f64 (-.f64 lambda1 lambda2)) |
| 6 | 2 | (1.8417339675264304e-203 -2.666753628538046e+140 1.1436859718034335e-221 -1.5875671534293908e-77) | 1 | (7.575551336141047e-42 1.1816120176548038e+72 -2.3392563085957917e+142 1.171152593122046e+31) | (+.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 | 197 | 1 |
sin.f64 | (sin.f64 (-.f64 lambda1 lambda2)) | sensitivity | 197 | 0 |
+.f64 | (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))) | cancellation | 6 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 1 |
| - | 190 | 55 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 1 |
| - | 190 | 2 | 53 |
| number | freq |
|---|---|
| 0 | 56 |
| 1 | 3 |
| 2 | 194 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.4s | 2 340× | 1 | valid |
| 91.0ms | 732× | 0 | valid |
Compiled 3 180 to 696 computations (78.1% saved)
ival-cos: 768.0ms (57.1% of total)ival-sin: 197.0ms (14.6% of total)adjust: 150.0ms (11.2% of total)ival-atan2: 86.0ms (6.4% of total)ival-mult: 68.0ms (5.1% of total)ival-add: 46.0ms (3.4% of total)ival-sub: 27.0ms (2% of total)ival-true: 2.0ms (0.1% of total)ival-assert: 1.0ms (0.1% 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 |
|---|---|---|
| 98.1% | (+.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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