Spherical law of cosines
Time bar (total: 4.0s)
| 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 21 to 19 computations (9.5% saved)
| 89.0ms | 193× | 1 | valid |
| 13.0ms | 67× | 0 | valid |
ival-cos: 36.0ms (39.8% of total)ival-sin: 22.0ms (24.3% of total)ival-mult: 12.0ms (13.3% of total)ival-acos: 9.0ms (9.9% of total)adjust: 7.0ms (7.7% of total)ival-sub: 2.0ms (2.2% of total)ival-add: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 126 | (-3.713407217029393e-203 1.1647153926456693e+88 1.1904214430029317e-277 1.5001941762261604e-12 -2.507343739014925e-305) | 0 | - | (cos.f64 (-.f64 lambda1 lambda2)) |
| 17 | 0 | - | 1 | (9285331938963.98 -5.423419475444592e-117 -2.1951357039817368e-77 -5.480369650633731e-95 -3.774120907200575e+85) | (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) |
| 2 | 0 | - | 1 | (-2.2013748839104622e-299 -1.4652594175173423e-251 -4.904878043977271e+145 2.5973802501545293e+279 5.833744376751437e+161) | (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) |
| 0 | 0 | - | 0 | - | lambda2 |
| 0 | 0 | - | 0 | - | phi2 |
| 0 | 0 | - | 0 | - | (*.f64 (cos.f64 phi1) (cos.f64 phi2)) |
| 0 | 0 | - | 0 | - | (-.f64 lambda1 lambda2) |
| 0 | 0 | - | 0 | - | R |
| 0 | 0 | - | 0 | - | (sin.f64 phi1) |
| 0 | 0 | - | 0 | - | (cos.f64 phi2) |
| 0 | 0 | - | 0 | - | lambda1 |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 phi1) (sin.f64 phi2)) |
| 0 | 0 | - | 0 | - | phi1 |
| 0 | 0 | - | 0 | - | (sin.f64 phi2) |
| 0 | 0 | - | 0 | - | (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
| 0 | 0 | - | 0 | - | (cos.f64 phi1) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (-.f64 lambda1 lambda2)) | sensitivity | 187 | 0 |
acos.f64 | (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) | sensitivity | 16 | 5 |
+.f64 | (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) | cancellation | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 1 |
| - | 124 | 55 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 1 | 0 |
| - | 124 | 1 | 54 |
| number | freq |
|---|---|
| 0 | 56 |
| 1 | 196 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.1s | 2 280× | 1 | valid |
| 173.0ms | 792× | 0 | valid |
Compiled 3 564 to 840 computations (76.4% saved)
ival-cos: 434.0ms (40% of total)ival-sin: 272.0ms (25.1% of total)ival-mult: 138.0ms (12.7% of total)ival-acos: 101.0ms (9.3% of total)adjust: 81.0ms (7.5% of total)ival-sub: 28.0ms (2.6% of total)ival-add: 25.0ms (2.3% of total)ival-true: 3.0ms (0.3% of total)ival-assert: 2.0ms (0.2% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 399 |
| 1 | 273 | 393 |
| 2 | 460 | 385 |
| 3 | 803 | 385 |
| 4 | 1522 | 385 |
| 5 | 1993 | 385 |
| 6 | 2268 | 385 |
| 7 | 2744 | 385 |
| 8 | 3277 | 385 |
| 9 | 3803 | 385 |
| 10 | 4429 | 385 |
| 11 | 4716 | 385 |
| 12 | 4910 | 385 |
| 13 | 4948 | 385 |
| 14 | 6292 | 385 |
| 15 | 6766 | 385 |
| 16 | 6878 | 385 |
| 17 | 6894 | 385 |
| 18 | 6894 | 385 |
| 19 | 6910 | 385 |
| 20 | 6910 | 385 |
| 21 | 6990 | 385 |
| 22 | 7022 | 385 |
| 23 | 7022 | 385 |
| 0 | 17 | 19 |
| 0 | 29 | 19 |
| 1 | 38 | 19 |
| 2 | 50 | 19 |
| 3 | 58 | 19 |
| 4 | 67 | 19 |
| 5 | 83 | 19 |
| 6 | 116 | 19 |
| 7 | 141 | 19 |
| 8 | 185 | 19 |
| 9 | 201 | 19 |
| 10 | 209 | 19 |
| 0 | 209 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
| Outputs |
|---|
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1)) (cos.f64 phi2) (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) |
(negabs R)
(sort lambda1 lambda2)
(sort phi1 phi2)
Compiled 19 to 17 computations (10.5% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 76.6% | (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
Compiled 38 to 34 computations (10.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 19 |
| 1 | 24 | 19 |
| 2 | 29 | 19 |
| 3 | 31 | 19 |
| 4 | 32 | 19 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
| Outputs |
|---|
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R) |
(*.f64 R (acos.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 (sin.f64 phi2) (sin.f64 phi1))))) |
| 1× | fuel |
Compiled 19 to 17 computations (10.5% saved)
(sort phi1 phi2)
(sort lambda1 lambda2)
(negabs R)
Compiled 304 to 272 computations (10.5% saved)
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