
| Date: | Wednesday, April 16th, 2025 |
|---|---|
| Commit: | 253a78a0 on chassis-platforms-cleanup |
| Seed: | 2025106 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 684 540.3 MB |
Time bar (total: 8.0min)
Compiled 12 787 803 to 441 491 computations (96.5% saved)
1377 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 225.0ms | dX.u | @ | inf | ((log2 (if (> (/ (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))))))) (if (> (/ (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (fabs (* (* (floor 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(fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* (* (floor w) (floor w)) dX.u) (* (floor w) (floor w)) (floor w) w dX.u (* (* (floor h) (floor h)) (* dX.v dX.v)) (* (floor h) (floor h)) (floor h) h (* dX.v dX.v) dX.v (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))) (* (* (floor h) (floor h)) dY.v) dY.v (* (* dY.u dY.u) (* (floor w) (floor w))) (* dY.u dY.u) dY.u (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))) (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)) (* dY.u dX.v) (* dY.v dX.u) (floor maxAniso) maxAniso (/ (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* 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maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2)))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))))) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2)))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2)))))) (floor maxAniso)) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2)))))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2))))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor w) (floor w)) (* dX.u dX.u)) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2)))) (exp (+ (* (log (floor h)) 2) (* (log dY.v) 2))) (+ (* (log (floor h)) 2) (* (log dY.v) 2)) (log (floor h)) (* (log dY.v) 2) (log dY.v)) |
| 29.3s | 241 417× | 0 | valid |
| 5.0s | 28 689× | 1 | valid |
| 1.0s | 11 054× | 0 | invalid |
| 583.0ms | 2 342× | 2 | valid |
| 203.0ms | 1 584× | 1 | exit |
| 168.0ms | 723× | 1 | invalid |
ival-mult!: 6.4s (24.7% of total)ival-div!: 2.7s (10.3% of total)ival-exp: 1.8s (6.8% of total)ival-sqrt: 1.6s (6% of total)ival-log: 1.5s (5.8% of total)ival-sin: 1.3s (4.9% of total)ival-add!: 1.2s (4.5% of total)ival-sub!: 1.1s (4.3% of total)adjust: 1.1s (4.3% of total)ival-fabs: 1.1s (4.3% of total)ival-floor: 1.0s (4% of total)ival-sinu: 567.0ms (2.2% of total)ival-<=: 514.0ms (2% of total)ival-pow2: 492.0ms (1.9% of total)ival-neg: 479.0ms (1.8% of total)ival-cos: 458.0ms (1.8% of total)ival-cosu: 434.0ms (1.7% of total)ival-fmax: 368.0ms (1.4% of total)ival-tan: 336.0ms (1.3% of total)ival-and: 314.0ms (1.2% of total)ival-if: 268.0ms (1% of total)ival-log2: 206.0ms (0.8% of total)ival-log1p: 162.0ms (0.6% of total)ival-asin: 131.0ms (0.5% of total)ival-sinh: 128.0ms (0.5% of total)ival-atan: 92.0ms (0.4% of total)ival->=: 87.0ms (0.3% of total)ival->: 75.0ms (0.3% of total)ival-<: 57.0ms (0.2% of total)ival-assert: 32.0ms (0.1% of total)ival-pi: 0.0ms (0% of total)150 calls:
| 1.3s | cosTheta_i |
| 1.3s | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 834.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 833.0ms | uy |
| 802.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
Compiled 20 257 to 17 992 computations (11.2% saved)
| 290× | iter-limit |
| 127× | node-limit |
| 33× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 11.5% | 88.5% | 0% | 0% | 0% | 0 |
| 52.8% | 6.1% | 5.4% | 88.5% | 0% | 0% | 0% | 1 |
| 54.4% | 6.2% | 5.2% | 88.5% | 0% | 0% | 0% | 2 |
| 54.5% | 6.3% | 5.2% | 88.5% | 0% | 0% | 0% | 3 |
| 55.4% | 6.4% | 5.1% | 88.5% | 0% | 0% | 0% | 4 |
| 62.6% | 7.2% | 4.3% | 88.5% | 0% | 0% | 0% | 5 |
| 66.9% | 7.6% | 3.8% | 88.5% | 0% | 0.1% | 0% | 6 |
| 76.4% | 8.4% | 2.6% | 88.5% | 0% | 0.4% | 0% | 7 |
| 76.8% | 8.5% | 2.6% | 88.5% | 0% | 0.4% | 0% | 8 |
| 81.4% | 9% | 2% | 88.5% | 0% | 0.4% | 0% | 9 |
| 85.1% | 9.3% | 1.6% | 88.5% | 0% | 0.5% | 0% | 10 |
| 86.3% | 9.4% | 1.5% | 88.5% | 0% | 0.5% | 0% | 11 |
| 87.3% | 9.5% | 1.4% | 88.5% | 0% | 0.6% | 0% | 12 |
Compiled 2 648 to 1 113 computations (58% saved)
| 31× | fuel |
Compiled 28 967 to 3 706 computations (87.2% saved)
Compiled 552 505 to 216 060 computations (60.9% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | #f | sensitivity | 1015 | 74 |
-.f32 | #f | cancellation | 392 | 43 |
sqrt.f32 | #f | oflow-rescue | 301 | 0 |
sqrt.f64 | #f | oflow-rescue | 298 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) | sensitivity | 215 | 0 |
cos.f32 | #f | sensitivity | 190 | 20 |
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 181 | 14 |
-.f64 | #f | cancellation | 154 | 0 |
/.f32 | #f | o/n | 116 | 0 |
exp.f32 | #f | sensitivity | 36 | 29 |
/.f32 | #f | u/n | 24 | 0 |
*.f64 | (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) | n*u | 12 | 0 |
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))) | uflow-rescue | 11 | 0 |
| ↳ | (*.f32 sinTheta_O sinTheta_O) | underflow | 294 | |
| ↳ | (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))) | underflow | 11 | |
| ↳ | (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))) | underflow | 147 | |
| ↳ | (*.f32 eta eta) | underflow | 11 | |
sqrt.f64 | #f | uflow-rescue | 4 | 0 |
*.f32 | #f | n*o | 4 | 0 |
/.f32 | (/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))) | n/o | 3 | 0 |
| ↳ | (/.f32 sin2phi (*.f32 alphay alphay)) | overflow | 11 | |
| ↳ | (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))) | overflow | 11 | |
/.f32 | #f | o/o | 2 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | u*o | 1 | 0 |
| ↳ | (*.f32 u normAngle) | underflow | 1 | |
| ↳ | (sin.f32 (*.f32 u normAngle)) | underflow | 1 | |
| ↳ | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | overflow | 2 | |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2095 | 55 |
| - | 476 | 5822 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2095 | 35 | 20 |
| - | 476 | 133 | 5689 |
| number | freq |
|---|---|
| 0 | 5877 |
| 1 | 2184 |
| 2 | 385 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 1 | 1 |
| - | 3 | 0 | 2 |
| 1.7s | 14 588× | 0 | valid |
| 434.0ms | 2 174× | 1 | valid |
| 38.0ms | 134× | 2 | valid |
Compiled 16 934 to 1 875 computations (88.9% saved)
ival-mult!: 377.0ms (26.5% of total)ival-div!: 174.0ms (12.2% of total)ival-log: 94.0ms (6.6% of total)ival-sin: 83.0ms (5.8% of total)ival-exp: 81.0ms (5.7% of total)ival-sqrt: 80.0ms (5.6% of total)adjust: 77.0ms (5.4% of total)ival-sub!: 62.0ms (4.4% of total)ival-add!: 57.0ms (4% of total)ival-floor: 52.0ms (3.7% of total)ival-neg: 41.0ms (2.9% of total)ival-sinu: 37.0ms (2.6% of total)ival-pow2: 28.0ms (2% of total)ival-cosu: 26.0ms (1.8% of total)ival-tan: 25.0ms (1.8% of total)ival-cos: 25.0ms (1.8% of total)ival-fabs: 23.0ms (1.6% of total)ival-fmax: 19.0ms (1.3% of total)ival-if: 17.0ms (1.2% of total)ival-log2: 12.0ms (0.8% of total)ival-log1p: 7.0ms (0.5% of total)ival-atan: 6.0ms (0.4% of total)ival-sinh: 5.0ms (0.4% of total)ival->: 4.0ms (0.3% of total)ival-asin: 4.0ms (0.3% of total)ival->=: 3.0ms (0.2% of total)ival-<: 1.0ms (0.1% of total)ival-pi: 0.0ms (0% of total)| 33× | node-limit |
Compiled 185 818 to 56 378 computations (69.7% saved)
| 98× | binary-search |
| 55× | left-value |
| 97× | narrow-enough |
| 1× | predicate-same |
| 208.0ms | 823× | 1 | valid |
| 63.0ms | 881× | 0 | valid |
| 49.0ms | 184× | 2 | valid |
| 9.0ms | 61× | 1 | invalid |
| 2.0ms | 36× | 0 | invalid |
Compiled 15 452 to 10 605 computations (31.4% saved)
ival-exp: 122.0ms (45.9% of total)adjust: 30.0ms (11.3% of total)ival-pow2: 30.0ms (11.3% of total)ival-mult!: 29.0ms (10.9% of total)ival-log1p: 14.0ms (5.3% of total)ival-sub!: 12.0ms (4.5% of total)ival-sqrt: 11.0ms (4.1% of total)ival-fabs: 10.0ms (3.8% of total)ival-add!: 8.0ms (3% of total)1 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.4min | u1 | @ | 0 | ((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1))) (/ 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1)) 1 (+ (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 1) (/ u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) u0 (* (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0)) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (+ (PI) (PI)) (PI) u1 (* (PI) 1/2) 1/2 (/ alphay alphax) alphay alphax 2 (* alphay alphay) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax) (- 1 u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1))) (/ 1 (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1)) (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (/ (+ 1 u0) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) u0) 1) (/ (+ 1 u0) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) (+ 1 u0)) |
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