Timeout in 10.0m

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Details

Time bar (total: 38.6s)Debug log

sample34.5s

Algorithm
intervals

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
48.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
0.3b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.3b
(* (sin delta) (* (cos phi1) (sin theta)))
0.3b
(* (cos delta) (sin phi1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
11×add-cbrt-cube
11×pow1
7×add-cube-cbrt
7×*-un-lft-identity
7×add-sqr-sqrt
6×associate-*l*
4×add-log-exp
4×log1p-expm1-u
4×cbrt-unprod
4×prod-exp
4×pow-prod-down
4×associate-*r*
4×expm1-log1p-u
2×*-commutative
1×fma-udef
1×asin-acos
Counts
4 → 59
Calls
4 calls:
Slowest
16.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
4.0ms
(* (cos delta) (sin phi1))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.0ms
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))

series355.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
70.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
40.0ms
(* (cos delta) (sin phi1))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify2.0s

Counts
29 → 71
Calls
29 calls:
Slowest
616.0ms
(- (cos delta) (+ (* (cos phi1) (* (sin delta) (* (cos theta) (sin phi1)))) (* (pow (sin phi1) 2) (cos delta))))
318.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))
291.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (cos phi1) (* (sin delta) (* (cos theta) (sin phi1))))))
240.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (sin theta)) (* (cos phi1) (sin theta))) (* (cos phi1) (sin theta))))
214.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

Reproduce

herbie shell --seed 2019010 +o rules:numerics
(FPCore (lambda1 phi1 phi2 delta theta)
  :name "Destination given bearing on a great circle"
  (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))