Timeout in 10.0m

Use the --timeout flag to change the timeout.

Details

Time bar (total: 35.4s)Debug log

sample32.2s

Algorithm
intervals
Results
31.1s2064×body10240exit
577.0ms144×body1280valid
268.0ms71×body640valid
71.0ms24×body320valid
9.0ms9×body160valid
5.0ms8×body80valid

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
47.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune56.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(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
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
0.3b
(* (sin delta) (* (cos phi1) (sin theta)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
9×add-cbrt-cube
9×pow1
5×add-cube-cbrt
5×*-un-lft-identity
5×add-sqr-sqrt
4×add-log-exp
4×log1p-expm1-u
4×expm1-log1p-u
3×cbrt-unprod
3×prod-exp
3×pow-prod-down
3×associate-*l*
2×fma-udef
1×*-commutative
1×associate-*r*
1×asin-acos
Counts
4 → 50
Calls
4 calls:
Slowest
17.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
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))
0.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
196.0ms
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
188.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
85.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
11.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify1.2s

Counts
21 → 62
Calls
21 calls:
Slowest
280.0ms
(- (cos delta) (+ (* (cos phi1) (* (sin delta) (* (cos theta) (sin phi1)))) (* (pow (sin phi1) 2) (cos delta))))
271.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))
228.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (cos phi1) (* (sin delta) (* (cos theta) (sin phi1))))))
206.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (sin theta)) (* (cos phi1) (sin theta))) (* (cos phi1) (sin theta))))
71.0ms
(- 1 (+ (* phi1 delta) (pow phi1 2)))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

Reproduce

herbie shell --seed 2019022 +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))))))))))