Details

sample15.0s

Algorithm

intervals

Results

14.3s	1895×	body	10240	exit
457.0ms	169×	body	1280	valid
94.0ms	67×	body	640	valid
57.0ms	17×	body	320	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	80	valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

(+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

7.5b	(sin (- lambda1 lambda2))
7.2b	(cos (- lambda1 lambda2))
0.6b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `sin-sum` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`sub-neg` `insert-posit16`
3×	`distribute-rgt-in` `cos-diff` `distribute-lft-in` `associate-r` `associate-l`
2×	`cos-sum` `associate-+r+`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `sin-diff` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

Slowest

42.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
16.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
16.0ms	(cos (- lambda1 lambda2))
9.0ms	(sin (- lambda1 lambda2))

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
104.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
43.0ms	(sin (- lambda1 lambda2))
19.0ms	(cos (- lambda1 lambda2))

simplify2.0s

Counts

35 → 71

Calls

35 calls:

Slowest

520.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
342.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
267.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
148.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
123.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7m

Algorithm

intervals

Results

7.4m	59022×	body	10240	exit
14.1s	5388×	body	1280	valid
3.7s	2073×	body	640	valid
462.0ms	426×	body	320	valid
59.0ms	93×	body	160	valid
5.0ms	20×	body	80	valid