Destination given bearing on a great circle
Time bar (total: 3.9s)
| 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 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 9 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 10 |
| 1.6% | 1.6% | 98.2% | 0.2% | 0% | 0% | 0% | 11 |
| 1.6% | 1.6% | 98.2% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 35 to 25 computations (28.6% saved)
| 56.0ms | 260× | 0 | valid |
ival-sin: 19.0ms (39.3% of total)ival-cos: 13.0ms (26.9% of total)ival-mult: 8.0ms (16.5% of total)ival-asin: 3.0ms (6.2% of total)ival-add: 2.0ms (4.1% of total)ival-atan2: 2.0ms (4.1% of total)ival-sub: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 10 | 129 | (4.142559468850534e+146 5.692967606033075e+290 6.425141013599755e-87 -2.8111904632596083e-33 1.8202224131141228e-70) | 0 | - | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) |
| 2 | 216 | (4.142559468850534e+146 5.692967606033075e+290 6.425141013599755e-87 -2.8111904632596083e-33 1.8202224131141228e-70) | 0 | - | (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) |
| 0 | 0 | - | 0 | - | (cos.f64 theta) |
| 0 | 0 | - | 0 | - | theta |
| 0 | 0 | - | 0 | - | (sin.f64 theta) |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) |
| 0 | 0 | - | 0 | - | delta |
| 0 | 0 | - | 0 | - | (sin.f64 phi1) |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 phi1) (cos.f64 delta)) |
| 0 | 0 | - | 0 | - | lambda1 |
| 0 | 0 | - | 0 | - | (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) |
| 0 | 55 | (6.143902631309617e+103 -1.4121442257826494e-214 4.745297443768904e+210 1.1926001838785307e-280 1.2217311961118487e-132) | 0 | - | (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))) |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 theta) (sin.f64 delta)) |
| 0 | 0 | - | 0 | - | phi1 |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 phi1) (sin.f64 delta)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)) |
| 0 | 60 | (4.142559468850534e+146 5.692967606033075e+290 6.425141013599755e-87 -2.8111904632596083e-33 1.8202224131141228e-70) | 0 | - | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
| 0 | 0 | - | 0 | - | (sin.f64 delta) |
| 0 | 4 | (2.3471798604272963e+219 -1.7849188669424827e-20 -7.081266421268813e-282 -1.237709951846949e-196 -2.1920967544821538e+192) | 0 | - | (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) |
| 0 | 0 | - | 0 | - | (cos.f64 delta) |
| 0 | 0 | - | 0 | - | (cos.f64 phi1) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
asin.f64 | (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) | sensitivity | 218 | 0 |
+.f64 | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) | cancellation | 60 | 0 |
-.f64 | (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) | cancellation | 51 | 0 |
+.f64 | (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))) | cancellation | 20 | 0 |
sin.f64 | (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) | cancelation | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 233 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 233 | 0 | 21 |
| number | freq |
|---|---|
| 0 | 21 |
| 1 | 141 |
| 2 | 73 |
| 3 | 18 |
| 4 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 728.0ms | 3 072× | 0 | valid |
Compiled 7 512 to 1 128 computations (85% saved)
ival-sin: 213.0ms (37.2% of total)ival-cos: 160.0ms (27.9% of total)ival-mult: 98.0ms (17.1% of total)ival-asin: 37.0ms (6.5% of total)ival-add: 25.0ms (4.4% of total)ival-atan2: 23.0ms (4% of total)ival-sub: 12.0ms (2.1% of total)ival-true: 3.0ms (0.5% of total)adjust: 1.0ms (0.2% of total)ival-assert: 1.0ms (0.2% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 677 |
| 1 | 399 | 672 |
| 2 | 699 | 670 |
| 3 | 1226 | 668 |
| 4 | 2722 | 668 |
| 5 | 4034 | 668 |
| 6 | 4664 | 668 |
| 7 | 5393 | 668 |
| 8 | 5778 | 668 |
| 9 | 5943 | 668 |
| 10 | 6050 | 668 |
| 11 | 6182 | 668 |
| 12 | 6432 | 668 |
| 13 | 6965 | 668 |
| 14 | 7098 | 668 |
| 15 | 7124 | 668 |
| 16 | 7124 | 668 |
| 17 | 7124 | 668 |
| 0 | 22 | 33 |
| 0 | 40 | 33 |
| 1 | 57 | 33 |
| 2 | 82 | 33 |
| 3 | 97 | 33 |
| 4 | 113 | 33 |
| 5 | 141 | 33 |
| 6 | 189 | 33 |
| 7 | 238 | 33 |
| 8 | 321 | 33 |
| 9 | 360 | 33 |
| 10 | 394 | 33 |
| 11 | 446 | 33 |
| 12 | 537 | 33 |
| 13 | 671 | 33 |
| 14 | 822 | 33 |
| 15 | 1117 | 33 |
| 16 | 1189 | 33 |
| 17 | 1208 | 33 |
| 18 | 1210 | 33 |
| 19 | 1213 | 33 |
| 20 | 1215 | 33 |
| 0 | 1215 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
| Outputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
(+.f64 (atan2.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) (fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta)) (*.f64 (sin.f64 phi1) (cos.f64 delta))))) (cos.f64 delta))) lambda1) |
(abs phi2)
Compiled 33 to 23 computations (30.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
Compiled 66 to 46 computations (30.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 33 |
| 1 | 35 | 33 |
| 2 | 47 | 33 |
| 3 | 53 | 33 |
| 4 | 57 | 33 |
| 5 | 58 | 33 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
| Outputs |
|---|
(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))) |
(+.f64 (atan2.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (sin.f64 theta))) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 delta))) (*.f64 (sin.f64 phi1) (cos.f64 delta))))) (sin.f64 phi1)))) lambda1) |
| 1× | fuel |
Compiled 33 to 23 computations (30.3% saved)
(abs phi2)
Compiled 264 to 184 computations (30.3% saved)
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