Spherical law of cosines
Time bar (total: 15.3s)
| 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 |
| 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 | 199× | 1 | valid |
| 11.0ms | 61× | 0 | valid |
ival-cos: 35.0ms (39.3% of total)ival-sin: 24.0ms (26.9% of total)ival-mult: 11.0ms (12.3% of total)ival-acos: 8.0ms (9% of total)adjust: 7.0ms (7.9% 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 |
|---|---|---|---|---|---|
| 64 | 137 | (-1.8340108143290204e-183 -9.764872645835217e+298 4.442446271576414e-119 -4.712317821263569e+91 -4.9097102925854644e-114) | 0 | - | (cos.f64 (-.f64 lambda1 lambda2)) |
| 12 | 0 | - | 1 | (1.7870094753405569e+193 2.0077803179744403e-243 -1.1863558929912238e+235 -1.5266825622684812e-87 3.8553513906250077e+27) | (acos.f64 (+.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 | 1 | (-4.3515309223919973e-249 1.0305488399131475e+139 -7.862999227142676e-258 -7.887501143116736e+197 2.5132871396916607e+190) | 0 | - | (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) |
| 0 | 0 | - | 0 | - | (cos.f64 phi1) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (-.f64 lambda1 lambda2)) | sensitivity | 201 | 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 | 11 | 1 |
+.f64 | (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 73 | 0 |
| - | 139 | 44 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 73 | 0 | 0 |
| - | 139 | 0 | 44 |
| number | freq |
|---|---|
| 0 | 44 |
| 1 | 211 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 8.3s | 17 640× | 1 | valid |
| 1.1s | 5 400× | 0 | valid |
Compiled 13 455 to 3 240 computations (75.9% saved)
ival-cos: 3.3s (41.3% of total)ival-sin: 1.9s (24.5% of total)ival-mult: 946.0ms (12% of total)ival-acos: 702.0ms (8.9% of total)adjust: 628.0ms (8% of total)ival-sub: 220.0ms (2.8% of total)ival-add: 172.0ms (2.2% of total)ival-true: 20.0ms (0.3% of total)ival-assert: 8.0ms (0.1% 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 |
|---|---|---|
| 77.1% | (*.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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