Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 36.3s)Debug log

start32.1s

Algorithm
intervals

setup104.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
0.4b
(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))

rewrite38.0ms

Algorithm
rewrite-expression-head
Counts
4 → 59
Calls

4 calls. Slowest were:

18.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
7.0ms
(* (cos delta) (sin phi1))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

series408.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

251.0ms
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
83.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
67.0ms
(* (cos delta) (sin phi1))
7.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify1.7s

Counts
29 → 71
Calls

29 calls. Slowest were:

400.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
273.0ms
(- (cos delta) (+ (* (cos phi1) (* (sin delta) (* (cos theta) (sin phi1)))) (* (pow (sin phi1) 2) (cos delta))))
244.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

Reproduce

herbie shell --seed 2018360 +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))))))))))