
| Date: | Wednesday, May 7th, 2025 |
|---|---|
| Commit: | 3ca32539 on mega-taylor-deduplication |
| Seed: | 2025127 |
| 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: | 572 071.7 MB |
Time bar (total: 8.4min)
| 2.1min | 16 850× | 3 | exit |
| 39.6s | 268 651× | 0 | valid |
| 4.9s | 28 617× | 1 | valid |
| 1.4s | 10 972× | 0 | invalid |
| 586.0ms | 2 512× | 2 | valid |
| 212.0ms | 728× | 1 | invalid |
| 154.0ms | 1 630× | 1 | exit |
| 79.0ms | 6× | 5 | exit |
| 26.0ms | 2× | 4 | exit |
ival-mult!: 24.3s (15.9% of total)ival-pow2: 21.5s (14.1% of total)adjust: 19.6s (12.8% of total)ival-exp: 18.5s (12.1% of total)ival-log: 17.1s (11.2% of total)ival-div!: 10.0s (6.5% of total)ival-sub!: 7.4s (4.9% of total)ival-add!: 7.3s (4.8% of total)ival-sqrt: 6.0s (3.9% of total)ival-neg: 6.0s (3.9% of total)ival-fmax: 5.3s (3.5% of total)ival-sin: 1.4s (0.9% of total)ival-fabs: 1.4s (0.9% of total)ival-fmin: 1.3s (0.8% of total)ival-cos: 927.0ms (0.6% of total)ival-floor: 736.0ms (0.5% of total)ival-sinu: 700.0ms (0.5% of total)ival-<=: 536.0ms (0.4% of total)ival-expm1: 467.0ms (0.3% of total)ival-cosu: 369.0ms (0.2% of total)ival-tan: 344.0ms (0.2% of total)ival-and: 294.0ms (0.2% of total)ival-asin: 286.0ms (0.2% of total)ival-if: 255.0ms (0.2% of total)ival-log2: 252.0ms (0.2% of total)ival-log1p: 136.0ms (0.1% of total)ival-atan: 122.0ms (0.1% of total)ival-sinh: 88.0ms (0.1% of total)ival->: 50.0ms (0% of total)ival->=: 44.0ms (0% of total)ival-assert: 29.0ms (0% of total)ival-<: 27.0ms (0% of total)const: 2.0ms (0% of total)ival-pi: 0.0ms (0% of total)1497 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 438.0ms | w | @ | 0 | ((if (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))) (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (* (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 w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))) (* (* (floor w) (floor w)) dY.u) dY.u (* (* dY.v dY.v) (* (floor h) (floor h))) (* dY.v dY.v) dY.v (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* 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| 427.0ms | s | @ | 0 | ((* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* 3 s) 3 s (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (/ 1 (- 1 (/ (- u 1/4) 3/4))) 1 (- 1 (/ (- u 1/4) 3/4)) (/ (- u 1/4) 3/4) (- u 1/4) u 1/4 3/4) |
| 347.0ms | dX.v | @ | 0 | ((if (>= (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))) (>= (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (* (* (floor h) dX.v) (floor h)) (* (floor h) dX.v) (floor h) h dX.v (* (* dX.u dX.u) (* 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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)))) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (floor h) dX.v))) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v))) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (pow (fmax (+ (* (* dX.u 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(* (floor h) dX.v)) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v)) (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) |
| 345.0ms | h | @ | -inf | ((log2 (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)) (exp (+ (log (floor h)) (log (* 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)) (log (* dY.v (* (floor h) dY.v)))))))) (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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))))))))) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) 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(exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))) (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v)))) (log (floor h)) (log (* dY.v (* (floor h) dY.v))) (* dY.v (* (floor h) dY.v)) dY.v (* (floor h) dY.v) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))) (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)) (floor maxAniso) 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)) (log (* dY.v (* (floor h) dY.v)))))))) (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)) (log (* dY.v (* (floor h) dY.v)))))))) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) 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(exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (+ 1 (exp (/ (neg (PI)) s))) (exp (/ (neg (PI)) s)) (/ (neg (PI)) s) (neg (PI)) (/ 1 (+ 1 (exp (/ (PI) s)))) (+ 1 (exp (/ (PI) s))) (exp (/ (PI) s)) (+ 1 (/ (PI) s)) (* (neg s) (log (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1))) (log (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1)) (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1) (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1) (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (+ (exp (/ (neg (PI)) s)) 1) (/ 1 (+ (exp (/ (PI) s)) 1)) (+ (exp (/ (PI) s)) 1)) |
| 314× | iter-limit |
| 137× | node-limit |
| 3× | unsound |
| 37× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 21% | 79% | 0% | 0% | 0% | 0 |
| 25.7% | 5.4% | 15.6% | 79% | 0% | 0% | 0% | 1 |
| 26.5% | 5.6% | 15.5% | 79% | 0% | 0% | 0% | 2 |
| 26.5% | 5.6% | 15.4% | 79% | 0% | 0% | 0% | 3 |
| 28.6% | 6% | 15% | 79% | 0% | 0% | 0% | 4 |
| 40.9% | 8.6% | 12.4% | 79% | 0% | 0% | 0% | 5 |
| 46.2% | 9.7% | 11.3% | 79% | 0% | 0% | 0% | 6 |
| 53.2% | 11% | 9.7% | 79% | 0% | 0.4% | 0% | 7 |
| 55.6% | 11.5% | 9.2% | 79% | 0% | 0.4% | 0% | 8 |
| 60.6% | 12.5% | 8.1% | 79% | 0% | 0.4% | 0% | 9 |
| 63.8% | 13.1% | 7.4% | 79% | 0% | 0.5% | 0% | 10 |
| 66.1% | 13.6% | 7% | 79% | 0% | 0.5% | 0% | 11 |
| 67.5% | 13.9% | 6.7% | 79% | 0% | 0.5% | 0% | 12 |
Compiled 20 293 to 1 873 computations (90.8% saved)
158 calls:
| 2.1s | x |
| 1.6s | (fabs.f32 x) |
| 1.3s | (*.f32 uy #s(literal 2 binary32)) |
| 849.0ms | maxCos |
| 635.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
Compiled 15 724 to 16 263 computations (-3.4% saved)
| 34× | fuel |
| 1× | done |
Compiled 8 526 to 3 818 computations (55.2% saved)
Compiled 2 240 416 to 386 991 computations (82.7% saved)
Compiled 323 696 to 196 476 computations (39.3% saved)
| 36× | node-limit |
Compiled 65 009 to 41 962 computations (35.5% saved)
| 98× | binary-search |
| 43× | left-value |
| 97× | narrow-enough |
| 1× | predicate-same |
| 387.0ms | 2 449× | 0 | valid |
| 240.0ms | 1 351× | 1 | valid |
| 99.0ms | 264× | 2 | valid |
| 32.0ms | 161× | 1 | invalid |
| 11.0ms | 208× | 0 | invalid |
Compiled 24 311 to 20 822 computations (14.4% saved)
ival-exp: 118.0ms (19% of total)adjust: 80.0ms (12.9% of total)ival-pow2: 79.0ms (12.7% of total)ival-mult!: 64.0ms (10.3% of total)ival-fmax: 42.0ms (6.8% of total)ival-sin: 40.0ms (6.4% of total)ival-sub!: 38.0ms (6.1% of total)ival-sqrt: 32.0ms (5.1% of total)ival-cos: 32.0ms (5.1% of total)ival-fabs: 30.0ms (4.8% of total)ival-add!: 26.0ms (4.2% of total)ival-log1p: 26.0ms (4.2% of total)ival-fmin: 10.0ms (1.6% of total)ival-neg: 5.0ms (0.8% 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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