Details

Time bar (total: 35.4s)

sample29.4s

Algorithm
intervals
Results
27.9s1864×body10240exit
683.0ms134×body1280valid
586.0ms70×body640valid
51.0ms28×body320valid
16.0ms12×body160valid
6.0ms12×body80valid

simplify508.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
508.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-neg associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
1×asin-acos sub-neg flip3-- diff-log associate-*r* *-commutative fma-udef flip--
Counts
4 → 64
Calls
4 calls:
Slowest
33.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
7.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
232.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))
215.0ms
(fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))
95.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
11.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))

simplify3.0s

Counts
30 → 76
Calls
30 calls:
Slowest
589.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (sin theta)) (* (cos phi1) (sin theta))) (* (cos phi1) (sin theta))))
410.0ms
(* (* (* (sin delta) (sin delta)) (sin delta)) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin theta) (sin theta)) (sin theta))))
287.0ms
(/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
256.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos theta) (* (sin delta) (cos phi1))))))
252.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms