Herbie run
| Date: | Tuesday, May 20th, 2025 |
|---|---|
| Commit: | 0e5c6bc4 on main |
| Seed: | 2025140 |
| 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: | 555 904.4 MB |
Time bar (total: 8.6min)
| 2.0min | 16 582× | 3 | exit |
| 41.8s | 268 663× | 0 | valid |
| 6.0s | 28 557× | 1 | valid |
| 1.2s | 10 980× | 0 | invalid |
| 691.0ms | 2 513× | 2 | valid |
| 169.0ms | 740× | 1 | invalid |
| 160.0ms | 1 556× | 1 | exit |
| 54.0ms | 4× | 5 | exit |
| 22.0ms | 2× | 4 | exit |
| 0.0ms | 1× | 3 | valid |
adjust: 25.0s (16.6% of total)ival-pow2: 23.7s (15.8% of total)ival-mult!: 22.0s (14.6% of total)ival-exp: 17.6s (11.7% of total)ival-log: 15.8s (10.5% of total)ival-div!: 9.1s (6.1% of total)ival-add!: 7.0s (4.6% of total)ival-sub!: 6.6s (4.4% of total)ival-sqrt: 5.8s (3.9% of total)ival-neg: 5.3s (3.6% of total)ival-fmax: 2.3s (1.5% of total)ival-fabs: 1.6s (1.1% of total)ival-sin: 1.5s (1% of total)ival-<=: 1.2s (0.8% of total)ival-fmin: 901.0ms (0.6% of total)ival-cos: 786.0ms (0.5% of total)ival-floor: 749.0ms (0.5% of total)ival-sinu: 593.0ms (0.4% of total)ival-expm1: 535.0ms (0.4% of total)ival-cosu: 468.0ms (0.3% of total)ival-and: 305.0ms (0.2% of total)ival-tan: 296.0ms (0.2% of total)ival-if: 249.0ms (0.2% of total)ival-log2: 198.0ms (0.1% of total)ival-log1p: 151.0ms (0.1% of total)ival-asin: 137.0ms (0.1% of total)ival->=: 135.0ms (0.1% of total)ival-atan: 103.0ms (0.1% of total)ival-sinh: 85.0ms (0.1% of total)ival->: 77.0ms (0.1% of total)ival-assert: 34.0ms (0% of total)ival-<: 26.0ms (0% of total)const: 1.0ms (0% of total)ival-pi: 0.0ms (0% of total)1495 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.1s | u0 | @ | 0 | ((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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)))) (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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))) (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))) (+ 1 (* (* (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))) (/ alphay alphax)) (* (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 (* 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)) (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (* 2 (PI)) u1) (* 2 (PI)) 2 (* 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))))) (/ 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 (+ (/ (* (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)) (/ (* (* alphay alphay) u0) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (* alphay alphay) u0) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (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))) (/ 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))) (+ (/ 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))) (* (+ (/ (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)) (/ (- 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)) (/ 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))))) (- (+ (neg (/ (+ (* (/ (+ (* (* (pow alphax 8) (/ (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* u0 u0)) (* (pow (* (- 1 u0) (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1))) 2) (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8)))) 1/4) (neg (/ (* (* (pow alphax 6) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* (- 1 u0) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3))))) (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 3/2)) -1/2) (* -1/4 (* (pow alphax 8) (/ (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* u0 u0)) (* (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8) (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 5/2)) (* (- 1 u0) (- 1 u0))))))) (* (* alphay alphay) (* alphay alphay)))) (/ 1 (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1)))) (/ (* -1/2 (* (* (* (* alphax alphax) (* alphax alphax)) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* alphay alphay)) (* (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 3/2) (- 1 u0))))) (+ (neg (/ (+ (* (/ (+ (* (* (pow alphax 8) (/ (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* u0 u0)) (* (pow (* (- 1 u0) (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1))) 2) (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8)))) 1/4) (neg (/ (* (* (pow alphax 6) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* (- 1 u0) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3))))) (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) 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| 485.0ms | dY.v | @ | -inf | ((if (>= (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (* dX.u (floor w)) dX.u) (floor w))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))) (* (floor w) (/ dX.u (sqrt (fmax (+ (* (* (floor w) (floor w)) (* dX.u dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w))))))) (/ (* (* (floor w) dY.u) -1) (neg (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) (* (floor h) dX.v)) (* (* (* dX.u (floor w)) dX.u) (floor w))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))) (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (* dX.u (floor w)) dX.u) (floor w))) (* (floor h) dX.v) (floor h) h dX.v (* (* (* dX.u (floor w)) dX.u) (floor 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(* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (exp (* (log dX.v) 2)))) (+ (* (* (* (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)) (exp (* (log dX.v) 2)))) (+ (* (* (* (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)) (exp (* (log dX.v) 2)))) (* (* (floor h) (floor h)) (exp (* (log dX.v) 2))) (exp (* (log dX.v) 2)) (* (log dX.v) 2) (log dX.v) 2 (* (/ 1 (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)))))) (* (floor w) dY.u)) (/ 1 (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)))))) 1 (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))))) (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 (>= (+ (* (* (* (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) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))))) dX.u) (* (/ (floor w) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))))) dY.u)) (* (/ (floor w) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))))) dX.u) (/ (floor w) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))))) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w))))) (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))) (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (pow (* (floor w) dX.u) 4) 4 (pow (* (floor h) dX.v) 4) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v))) (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)) (* (/ (floor w) (sqrt (fmax (/ (- (pow (* (floor w) dX.u) 4) (pow (* (floor h) dX.v) 4)) (* (+ (* (floor w) dX.u) (* (floor h) dX.v)) (- (* (floor w) dX.u) (* (floor h) dX.v)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* (* dY.u (floor w)) dY.u) (floor w)))))) dY.u) (if (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))) (* (/ (floor w) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))))) dX.u) (* (/ (floor w) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))))) dY.u)) (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))) (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v)) (exp (* (log (floor h)) 2)) (* (log (floor h)) 2) (log (floor h)) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2)))) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))) (exp (* (log dY.v) 2)) (* (log dY.v) 2) (log dY.v) (* (/ (floor w) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))))) dX.u) (/ (floor w) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))))) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2)))))) (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))) (* (/ (floor w) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (exp (* (log (floor h)) 2)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (exp (* (log dY.v) 2)) (exp (* (log (floor h)) 2))))))) dY.u)) |
| 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)
| 303× | iter-limit |
| 140× | node-limit |
158 calls:
| 1.0s | u1 |
| 861.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 850.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 783.0ms | uy |
| 736.0ms | ux |
Compiled 16 876 to 17 693 computations (-4.8% saved)
| 34× | fuel |
| 1× | done |
Compiled 8 830 to 3 975 computations (55% saved)
Compiled 2 483 280 to 444 477 computations (82.1% saved)
Compiled 331 342 to 210 677 computations (36.4% saved)
| 36× | node-limit |
Compiled 58 155 to 40 075 computations (31.1% saved)
| 97× | binary-search |
| 54× | left-value |
| 96× | narrow-enough |
| 1× | predicate-same |
| 468.0ms | 3 291× | 0 | valid |
| 273.0ms | 1 218× | 1 | valid |
| 22.0ms | 99× | 2 | valid |
| 21.0ms | 145× | 1 | invalid |
| 16.0ms | 210× | 0 | invalid |
Compiled 28 857 to 25 137 computations (12.9% saved)
ival-exp: 146.0ms (22.3% of total)ival-pow2: 81.0ms (12.4% of total)ival-fmax: 76.0ms (11.6% of total)ival-mult!: 57.0ms (8.7% of total)ival-sub!: 51.0ms (7.8% of total)ival-fabs: 41.0ms (6.3% of total)ival-sqrt: 38.0ms (5.8% of total)adjust: 29.0ms (4.4% of total)ival-add!: 29.0ms (4.4% of total)ival-log1p: 28.0ms (4.3% of total)ival-cos: 24.0ms (3.7% of total)ival-fmin: 22.0ms (3.4% of total)ival-sin: 21.0ms (3.2% of total)ival-neg: 10.0ms (1.5% of total)1 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.4min | u0 | @ | inf | ((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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)))) (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* 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))) (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))) (+ 1 (* (* (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))) (/ alphay alphax)) (* (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 (* 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)) (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (* 2 (PI)) u1) (* 2 (PI)) 2 (* 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))))) (/ 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 (+ (/ (* (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)) (/ (* (* alphay alphay) u0) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (* alphay alphay) u0) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (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))) (/ 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 (* 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1))) 2) (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8)) (pow (* (- 1 u0) (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1))) 2) (* (- 1 u0) (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1))) (sqrt (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1)) (+ (* (* 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))) (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8) (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) 1/4 (neg (/ (* (* (pow alphax 6) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* (- 1 u0) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3)))) (/ (* (* (pow alphax 6) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* (- 1 u0) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3))) (* (* (pow alphax 6) u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* (pow alphax 6) u0) (pow alphax 6) 6 (* (- 1 u0) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3)) (pow (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) 3) 3 (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 3/2) 3/2 -1/2 (* -1/4 (* (pow alphax 8) (/ (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* u0 u0)) (* (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8) (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 5/2)) (* (- 1 u0) (- 1 u0)))))) -1/4 (* (pow alphax 8) (/ (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* u0 u0)) (* (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 8) (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 5/2)) (* (- 1 u0) (- 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(* (* alphax alphax) (* alphax alphax)) u0) (* (* alphax alphax) (* alphax alphax)) (* (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* alphay alphay)) (* (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 3/2) (- 1 u0))) (* (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* alphay alphay)) (pow (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (pow (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) 3/2) (- 1 u0))) |
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