Details

Time bar (total: 30.6s)

sample458.0ms

Algorithm
intervals
Results
269.0ms113×body1280valid
120.0ms69×body640valid
34.0ms34×body320valid
8.0ms13×body160valid
7.0ms27×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done21
221
120
014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.5b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
3.1b
(cos (- lambda1 lambda2))
3.2b
(sin (- lambda1 lambda2))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
3×cos-diff
2×cos-sum associate-+r+ sub-neg sin-sum
1×distribute-rgt-in +-commutative sum-log distribute-lft-in flip3-+ sin-diff flip-+
Counts
4 → 44
Calls
4 calls:
0.0ms
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
14.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
9.0ms
(cos (- lambda1 lambda2))
21.0ms
(sin (- lambda1 lambda2))

series256.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
162.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
33.0ms
(cos (- lambda1 lambda2))
40.0ms
(sin (- lambda1 lambda2))

simplify2.5s

Counts
56 → 56
Iterations
IterNodes
done5001
42616
31179
2486
1211
0101

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi2) (sin (- lambda1 lambda2)))
0.2b
(* (sin lambda1) (sin lambda2))
0.6b
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
3.2b
(sin (- lambda1 lambda2))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×sin-sum associate-*r* associate-*l* add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in
2×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log flip3-+ sin-diff flip-+ sin-mult
Counts
4 → 68
Calls
4 calls:
45.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
19.0ms
(* (sin lambda1) (sin lambda2))
9.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
8.0ms
(sin (- lambda1 lambda2))

series552.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
61.0ms
(* (sin lambda1) (sin lambda2))
360.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
42.0ms
(sin (- lambda1 lambda2))

simplify2.2s

Counts
80 → 80
Iterations
IterNodes
done5001
21104
1339
0138

prune797.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.2b
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
0.2b
(* (sin lambda1) (sin lambda2))
0.6b
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×insert-posit16
3×distribute-rgt-in distribute-lft-in
2×associate-+r+ sub-neg pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log flip3-+ flip3-- flip-+ flip-- sin-mult
Counts
4 → 67
Calls
4 calls:
112.0ms
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
0.0ms
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
21.0ms
(* (sin lambda1) (sin lambda2))
18.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))))
30.0ms
(atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
73.0ms
(* (sin lambda1) (sin lambda2))
362.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

simplify2.1s

Counts
79 → 79
Iterations
IterNodes
done5005
21337
1380
0148

prune904.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos phi2))
0.3b
(cbrt (cos phi2))
0.3b
(cbrt (cos phi2))
0.6b
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×pow1/3
2×associate-+r+
1×distribute-rgt-in +-commutative sum-log distribute-lft-in flip3-+ flip-+
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (cos phi2))
2.0ms
(cbrt (cos phi2))
1.0ms
(cbrt (cos phi2))
9.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (cos phi2))
128.0ms
(cbrt (cos phi2))
139.0ms
(cbrt (cos phi2))
340.0ms
(+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))

simplify2.6s

Counts
62 → 62
Iterations
IterNodes
done5020
33397
2587
1197
080

prune610.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes918.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done46
146
032

end0.0ms

sample14.3s

Algorithm
intervals
Results
9.0s3557×body1280valid
3.6s2325×body640valid
962.0ms934×body320valid
293.0ms450×body160valid
205.0ms734×body80valid