Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 37.3s)Debug log

sample33.3s

Algorithm
intervals
Results
32.1s2064×body10240exit
711.0ms144×body1280valid
220.0ms71×body640valid
69.0ms24×body320valid
11.0ms9×body160valid
5.0ms8×body80valid

simplify24.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
24.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune426.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×add-cube-cbrt
8×add-exp-log
8×add-cbrt-cube
8×*-un-lft-identity
8×pow1
8×add-sqr-sqrt
6×add-log-exp
6×associate-*l*
6×associate-*r*
2×cbrt-unprod
2×*-commutative
2×prod-exp
2×pow-prod-down
1×sin-mult
1×flip--
1×sin-cos-mult
1×diff-log
1×flip3--
1×sub-neg
1×asin-acos
Counts
4 → 56
Calls
4 calls:
Slowest
10.0ms
(* (sin phi1) (cos delta))
5.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
4.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
1.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
187.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
169.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
47.0ms
(* (sin phi1) (cos delta))
19.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.6s

Counts
31 → 68
Calls
31 calls:
Slowest
374.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
293.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))
275.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
83.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
79.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

Reproduce

herbie shell --seed 2019022 
(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))))))))))