Details

Time bar (total: 12.7s)

sample272.0ms

Algorithm
intervals
Results
198.0ms151×body1280valid
44.0ms62×body640valid
7.0ms17×body320valid
3.0ms23×body80valid
1.0ms3×body160valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02715
14615
27115
37715
47715
done7715

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin phi1) (cos phi2))
0.3b
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.5b
(sin (- lambda1 lambda2))
2.8b
(cos (- lambda1 lambda2))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cos-diff
2×sub-neg cos-sum sin-sum *-commutative sin-cos-mult
1×distribute-rgt-in distribute-lft-in associate-*l/ sin-diff unswap-sqr
Counts
4 → 60
Calls
4 calls:
11.0ms
(* (sin phi1) (cos phi2))
31.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
10.0ms
(sin (- lambda1 lambda2))
10.0ms
(cos (- lambda1 lambda2))

series185.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sin phi1) (cos phi2))
97.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
22.0ms
(sin (- lambda1 lambda2))
19.0ms
(cos (- lambda1 lambda2))

simplify107.0ms

Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254435
11026372
24856372
35001372
done5001372

prune307.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin phi1) (cos phi2))
0.2b
(* (cos lambda1) (sin (- lambda2)))
0.3b
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.8b
(cos (- lambda1 lambda2))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*r*
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×cos-diff *-commutative
2×cos-sum sin-cos-mult unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ sin-neg distribute-rgt-neg-out
Counts
4 → 69
Calls
4 calls:
13.0ms
(* (sin phi1) (cos phi2))
14.0ms
(* (cos lambda1) (sin (- lambda2)))
29.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
12.0ms
(cos (- lambda1 lambda2))

series210.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (sin phi1) (cos phi2))
50.0ms
(* (cos lambda1) (sin (- lambda2)))
96.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
18.0ms
(cos (- lambda1 lambda2))

simplify37.0ms

Counts
81 → 81
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0306509
11298433
25001433
done5001433

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos lambda1) (sin (- lambda2)))
0.2b
(* (sin lambda1) (sin lambda2))
0.3b
(* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
0.3b
(* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
4×*-commutative sin-cos-mult add-log-exp
3×sin-mult
2×frac-times associate-*r/ associate-*l/ cos-mult unswap-sqr
1×sin-neg distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
16.0ms
(* (cos lambda1) (sin (- lambda2)))
11.0ms
(* (sin lambda1) (sin lambda2))
56.0ms
(* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
65.0ms
(* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cos lambda1) (sin (- lambda2)))
45.0ms
(* (sin lambda1) (sin lambda2))
116.0ms
(* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
105.0ms
(* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))

simplify56.0ms

Counts
100 → 100
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423805
11932623
25002623
done5002623

prune492.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (cos lambda1) (sin (- lambda2)))) (cbrt (* (cos lambda1) (sin (- lambda2)))))
0.6b
(cbrt (* (cos lambda1) (sin (- lambda2))))
0.6b
(cbrt (* (cos lambda1) (sin (- lambda2))))
0.6b
(cbrt (* (cos lambda1) (sin (- lambda2))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
28.0ms
(* (cbrt (* (cos lambda1) (sin (- lambda2)))) (cbrt (* (cos lambda1) (sin (- lambda2)))))
6.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))
6.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))
7.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (cbrt (* (cos lambda1) (sin (- lambda2)))) (cbrt (* (cos lambda1) (sin (- lambda2)))))
95.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))
95.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))
97.0ms
(cbrt (* (cos lambda1) (sin (- lambda2))))

simplify119.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0194623
1715526
23855478
35001467
done5001467

prune439.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04249
14249
done4249

end0.0ms

sample8.5s

Algorithm
intervals
Results
6.2s4615×body1280valid
1.5s2033×body640valid
245.0ms514×body320valid
97.0ms643×body80valid
67.0ms195×body160valid