Timeout in 10.0m

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Details

Time bar (total: 37.0s)Debug log

sample33.7s

Algorithm
intervals

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize94.0ms

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

rewrite25.0ms

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
8.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
7.0ms
(* (sin phi1) (cos delta))
7.0ms
(* (sin theta) (sin delta))
2.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
211.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
70.0ms
(* (sin theta) (sin delta))
50.0ms
(* (sin phi1) (cos delta))
8.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.3s

Counts
31 → 68
Calls
31 calls:
Slowest
404.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
281.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
249.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))
85.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
73.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos delta) (cos delta)) (cos delta)))

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

Reproduce

herbie shell --seed 2019010 
(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))))))))))