Herbie run

Date:Thursday, May 22nd, 2025
Commit:089dffb0 on main
Seed:2025142
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:3 016 382.5 MB

Time bar (total: 42.5min)

sample17.3min (40.7%)

Memory
16 067.5MiB live, 1 194 485.9MiB allocated; 7.1min collecting garbage
Samples
5.9min3 919 654×0valid
2.1min15 254×3exit
2.0min449 756×1valid
1.1min141 872×2valid
41.1s323 574×0invalid
40.3s40 351×5exit
19.3s4 600×4exit
13.6s15 277×3valid
7.8s29 453×1invalid
7.3s50 779×0exit
851.0ms6 604×1exit
612.0ms1 466×2invalid
104.0ms51×4valid
Precisions
Click to see histograms. Total time spent on operations: 9.8min
ival-mult!: 1.8min (17.8% of total)
adjust: 56.2s (9.5% of total)
ival-div!: 48.3s (8.2% of total)
ival-pow: 45.3s (7.7% of total)
ival-exp: 44.3s (7.5% of total)
ival-log: 39.3s (6.6% of total)
ival-pow2: 35.8s (6.1% of total)
ival-add!: 31.4s (5.3% of total)
ival-cos: 31.1s (5.3% of total)
ival-sub!: 29.8s (5% of total)
ival-sin: 25.1s (4.2% of total)
ival-sqrt: 22.6s (3.8% of total)
ival-tan: 16.2s (2.7% of total)
ival-neg: 12.4s (2.1% of total)
ival-sinu: 7.2s (1.2% of total)
ival-cosu: 5.4s (0.9% of total)
ival-fabs: 4.8s (0.8% of total)
ival-hypot: 4.6s (0.8% of total)
ival-asin: 2.9s (0.5% of total)
ival-expm1: 2.5s (0.4% of total)
ival-atan2: 2.4s (0.4% of total)
ival-fmax: 2.2s (0.4% of total)
ival-log1p: 1.8s (0.3% of total)
ival-sinh: 1.6s (0.3% of total)
ival-<=: 1.6s (0.3% of total)
ival-acos: 1.6s (0.3% of total)
ival-atan: 1.4s (0.2% of total)
ival-fmod: 1.3s (0.2% of total)
ival-fmin: 1.1s (0.2% of total)
ival-floor: 833.0ms (0.1% of total)
ival-acosh: 810.0ms (0.1% of total)
ival-and: 719.0ms (0.1% of total)
ival-cbrt: 717.0ms (0.1% of total)
ival-<: 559.0ms (0.1% of total)
ival-if: 323.0ms (0.1% of total)
ival-asinh: 307.0ms (0.1% of total)
ival-tanu: 271.0ms (0% of total)
ival-atanh: 232.0ms (0% of total)
ival-cosh: 218.0ms (0% of total)
ival-log2: 193.0ms (0% of total)
ival-assert: 108.0ms (0% of total)
ival->: 108.0ms (0% of total)
ival-tanh: 104.0ms (0% of total)
ival->=: 45.0ms (0% of total)
ival-or: 15.0ms (0% of total)
ival-==: 3.0ms (0% of total)
const: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

rewrite7.4min (17.5%)

Memory
8 204.7MiB live, 476 925.1MiB allocated; 2.7min collecting garbage
Stop Event
4 606×iter-limit
1 845×node-limit
114×unsound
45×saturated
Counts
260 800 → 554 971

series5.0min (11.8%)

Memory
10 452.8MiB live, 393 428.0MiB allocated; 2.1min collecting garbage
Counts
51 519 → 209 281
Calls

16488 calls:

TimeVariablePointExpression
1.2s
t
@0
((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (+ (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))))) (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2))) (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)) (pow (/ (* (cos t) eh) (* (sin t) ew)) 2) (/ (* (cos t) eh) (* (sin t) ew)) (* (cos t) eh) (cos t) t eh (* (sin t) ew) (sin t) ew 2 (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) (asinh (/ (* (cos t) eh) (* (sin t) ew))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) eh) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh (* t ew)) (* t ew) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))) (fabs (+ (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))))) (+ (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t))))))) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))) (+ 1 (pow (/ eh (* ew (tan t))) 2)) (pow (/ eh (* ew (tan t))) 2) (/ eh (* ew (tan t))) (* ew (tan t)) (tan t) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (/ (/ eh (* ew (tan t))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (/ (/ eh (* ew (tan t))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) (* (* eh (cos t)) (/ (/ eh (* ew (tan t))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (/ (/ eh (* ew (tan t))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))
947.0ms
kx
@inf
((sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (/ 1 2) 1 2 (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow (/ (* 2 l) Om) 2) (/ (* 2 l) Om) (* 2 l) l Om (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* kx kx) (- 1/2 (* 1/2 (cos (* 2 ky))))) kx (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) ky (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (* (+ 1 (/ 1 (sqrt (+ (* (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) 4) 1)))) 1/2) (+ 1 (/ 1 (sqrt (+ (* (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) 4) 1)))) (/ 1 (sqrt (+ (* (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) 4) 1))) (sqrt (+ (* (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) 4) 1)) (+ (* (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) 4) 1) (* (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om))) (* l l) (/ (- 1/2 (* 1/2 (cos (* 2 kx)))) (* Om Om)) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) (* Om Om) 4 (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (+ (* -1/2 (/ (* (* l l) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* Om Om))) 1) -1/2 (/ (* (* l l) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* Om Om)) (* (* l l) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))
713.0ms
t
@inf
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (tan t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* ew (cos t)) (cos t) (sqrt (* (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))))) (* (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (+ (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)) (/ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) ew)) ew) (+ (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)) (/ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) ew)) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (* -1 (* (/ eh ew) (tan t))) -1 (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))) (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)) (pow (* (neg eh) (/ (tan t) ew)) 2) 2)
663.0ms
k
@inf
((/ 2 (* (* (* (exp (- (* (log t) 3) (* (log l) 2))) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (exp (- (* (log t) 3) (* (log l) 2))) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (exp (- (* (log t) 3) (* (log l) 2))) (sin k)) (tan k)) (* (exp (- (* (log t) 3) (* (log l) 2))) (sin k)) (exp (- (* (log t) 3) (* (log l) 2))) (- (* (log t) 3) (* (log l) 2)) (* (log t) 3) (log t) t 3 (* (log l) 2) (log l) l (sin k) k (tan k) (+ (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (/ (* l l) (* (* k k) (* (* t t) t))) (* l l) (* (* k k) (* (* t t) t)) (* k k) (* (* t t) t) (* t t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (* (* (* t t) t) k) (* l l)) (* (* (* t t) t) k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* (cos k) (* l l)) (* (* (+ (* (/ k t) (/ k t)) 2) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (* t t) t))) 2) (/ (* (cos k) (* l l)) (* (* (+ (* (/ k t) (/ k t)) 2) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (* t t) t))) (* (cos k) (* l l)) (cos k) (* (* (+ (* (/ k t) (/ k t)) 2) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (* t t) t)) (* (+ (* (/ k t) (/ k t)) 2) (- 1/2 (* 1/2 (cos (* 2 k))))) (+ (* (/ k t) (/ k t)) 2) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k))
638.0ms
u1
@-inf
((* (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1)))) (/ u1 (/ (- 1 (* u1 u1)) (+ 1 u1))) u1 (/ (- 1 (* u1 u1)) (+ 1 u1)) (- 1 (* u1 u1)) 1 (* u1 u1) (+ 1 u1) (* (+ (/ 1 u1) 1) u1) (+ (/ 1 u1) 1) (/ 1 u1) (sin (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (* (sqrt (/ u1 (- 1 u1))) u2) 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) u2) (* (sqrt u1) u2) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (sin (* 314159265359/50000000000 u2)) (* (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) u2) (+ (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (* (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (/ (* (sqrt u1) 314159265359/50000000000) (sqrt (- 1 u1)))) u2) (+ (* (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (/ (* (sqrt u1) 314159265359/50000000000) (sqrt (- 1 u1)))) (* (* u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (/ (* (sqrt u1) 314159265359/50000000000) (sqrt (- 1 u1))) (* (sqrt u1) 314159265359/50000000000) (sqrt (- 1 u1)) (/ (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (sin (* u2 314159265359/50000000000))) (sin (* u2 314159265359/50000000000)) (* u2 314159265359/50000000000))

regimes2.9min (6.8%)

Memory
240.7MiB live, 239 552.4MiB allocated; 59.0s collecting garbage
Counts
90 825 → 8 829
Calls

1 233 calls:

12.4s
x
9.7s
y
7.5s
t
6.9s
a
6.5s
z
Compiler

Compiled 118 621 to 119 178 computations (-0.5% saved)

derivations2.4min (5.7%)

Memory
-1 020.8MiB live, 134 542.2MiB allocated; 32.9s collecting garbage
Stop Event
360×fuel
187×done
Compiler

Compiled 365 265 to 43 635 computations (88.1% saved)

preprocess2.0min (4.6%)

Memory
-5 745.3MiB live, 135 946.6MiB allocated; 44.1s collecting garbage
Stop Event
499×node-limit
49×saturated
1×iter-limit
Compiler

Compiled 1 292 732 to 405 333 computations (68.6% saved)

eval1.9min (4.5%)

Memory
113.7MiB live, 166 376.5MiB allocated; 48.6s collecting garbage
Compiler

Compiled 39 399 837 to 2 989 840 computations (92.4% saved)

analyze1.4min (3.2%)

Memory
558.3MiB live, 101 712.4MiB allocated; 33.7s collecting garbage
Algorithm
552×search
2×random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%84.6%15.4%0%0%0%0
39.7%33.6%51.1%15.4%0%0%0%1
45.6%38.2%45.6%15.4%0%0.8%0%2
54.1%44.3%37.6%15.4%0%2.8%0%3
60.9%49.3%31.6%15.4%0%3.7%0%4
67.2%54.1%26.4%15.4%0%4.2%0%5
71.2%57%23.1%15.4%0%4.6%0%6
75.1%59.7%19.8%15.4%0%5.2%0%7
77.1%61%18.1%15.4%0%5.6%0%8
79.8%62.8%15.9%15.4%0%5.9%0%9
81.3%63.8%14.6%15.4%0%6.2%0%10
83.6%65.4%12.9%15.4%0%6.3%0%11
84.7%66.1%11.9%15.4%0%6.6%0%12
Compiler

Compiled 30 225 to 8 606 computations (71.5% saved)

prune1.2min (2.8%)

Memory
-2 016.0MiB live, 100 904.3MiB allocated; 29.1s collecting garbage
Counts
552 139 → 33 692
Compiler

Compiled 3 439 097 to 1 484 110 computations (56.8% saved)

bsearch56.5s (2.2%)

Memory
1 014.6MiB live, 72 387.8MiB allocated; 18.9s collecting garbage
Algorithm
2 910×binary-search
1 703×left-value
Stop Event
2 818×narrow-enough
88×predicate-same
4×predicate-failed
Samples
21.2s194 742×0valid
8.6s19 784×1valid
2.3s2 542×2valid
1.8s696×5exit
744.0ms7 990×0invalid
234.0ms291×3valid
106.0ms395×1invalid
4.0ms60×0exit
3.0ms21×1exit
2.0ms9×2invalid
0.0ms1×4valid
Compiler

Compiled 1 891 866 to 1 198 907 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.2s
ival-mult!: 5.5s (22.7% of total)
ival-cos: 2.6s (10.9% of total)
ival-sin: 2.6s (10.8% of total)
ival-pow: 2.1s (8.6% of total)
ival-sub!: 1.8s (7.6% of total)
ival-pow2: 1.7s (7% of total)
ival-div!: 1.6s (6.6% of total)
adjust: 1.4s (5.8% of total)
ival-add!: 1.2s (4.9% of total)
ival-log: 665.0ms (2.7% of total)
ival-exp: 664.0ms (2.7% of total)
ival-sqrt: 489.0ms (2% of total)
ival-atan2: 327.0ms (1.4% of total)
ival-hypot: 267.0ms (1.1% of total)
ival-tan: 237.0ms (1% of total)
ival-neg: 226.0ms (0.9% of total)
ival-cosu: 207.0ms (0.9% of total)
ival-sinu: 187.0ms (0.8% of total)
ival-acos: 94.0ms (0.4% of total)
ival-fabs: 65.0ms (0.3% of total)
ival-fmin: 51.0ms (0.2% of total)
ival-asin: 44.0ms (0.2% of total)
ival-atan: 33.0ms (0.1% of total)
ival-fmax: 31.0ms (0.1% of total)
ival-log1p: 22.0ms (0.1% of total)
ival-if: 14.0ms (0.1% of total)
ival->=: 10.0ms (0% of total)
ival-tanu: 9.0ms (0% of total)
ival-tanh: 9.0ms (0% of total)
ival-expm1: 9.0ms (0% of total)
ival-cosh: 4.0ms (0% of total)
ival-cbrt: 3.0ms (0% of total)
ival-sinh: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start79.0ms (0%)

Memory
-32.6MiB live, 111.1MiB allocated; 43ms collecting garbage

end4.0ms (0%)

Memory
11.0MiB live, 10.3MiB allocated; 0ms collecting garbage
Calls

1 calls:

TimeVariablePointExpression
2.4min
u1
@0
((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) u0) (- 1 u0))))) 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) u0) (- 1 u0)) (* (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) u0) (/ 1 (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)))) (+ (* (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay))) (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (atan (* (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 (/ (cos (atan (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* alphax alphax)) (* 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))) 2 (* 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))) (+ (* (* 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))) (+ (* (/ (+ 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) (+ (/ (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)) (* 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))))) (+ (* u0 (- (* (+ (* (pow (+ (/ (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))) -2) 1/4) (* -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4)))) u0) (/ 1/2 (+ (/ (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 (+ (/ (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))) -2) 1/4) (* -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4)))) u0) (/ 1/2 (+ (/ (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 (+ (/ (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))) -2) 1/4) (* -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4)))) u0) (+ (* (pow (+ (/ (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))) -2) 1/4) (* -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4)))) (pow (+ (/ (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))) -2) -2 1/4 (* -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4))) -1/2 (- (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4)) (/ 1 (+ (/ (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 (+ (/ (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))) -2) 1/4) (/ 1/2 (+ (/ (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)))))

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