Details

Time bar (total: 38.4s)

sample842.0ms

Algorithm
intervals
Results
565.0ms150×body1280valid
134.0ms59×body640valid
73.0ms22×body320valid
40.0ms20×body80valid
4.0ms5×body160valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done73
473
369
245
127
017

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi1) (sin phi2))
0.2b
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.3b
(cos (- lambda1 lambda2))
4.4b
(sin (- lambda1 lambda2))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cos-diff
2×cos-sum sub-neg sin-sum *-commutative
1×distribute-rgt-in distribute-lft-in associate-*l/ sin-diff sin-cos-mult unswap-sqr
Counts
4 → 63
Calls
4 calls:
18.0ms
(* (cos phi1) (sin phi2))
55.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
14.0ms
(cos (- lambda1 lambda2))
14.0ms
(sin (- lambda1 lambda2))

series269.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (cos phi1) (sin phi2))
135.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
26.0ms
(cos (- lambda1 lambda2))
35.0ms
(sin (- lambda1 lambda2))

simplify1.1s

Counts
75 → 75
Iterations
IterNodes
done2015
32015
2833
1302
0132

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi1) (sin phi2))
0.2b
(* (sin lambda1) (cos lambda2))
0.2b
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.3b
(cos (- lambda1 lambda2))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16 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/
Counts
4 → 72
Calls
4 calls:
17.0ms
(* (cos phi1) (sin phi2))
21.0ms
(* (sin lambda1) (cos lambda2))
58.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
11.0ms
(cos (- lambda1 lambda2))

series289.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (cos phi1) (sin phi2))
66.0ms
(* (sin lambda1) (cos lambda2))
126.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
19.0ms
(cos (- lambda1 lambda2))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done2014
32014
21041
1368
0154

prune881.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize102.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-cbrt-cube add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
8×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
5×sin-cos-mult
4×*-commutative insert-posit16 add-log-exp
3×sin-mult
2×frac-times associate-*l/ associate-*r/ cos-mult unswap-sqr
Counts
4 → 92
Calls
4 calls:
12.0ms
(* (sin lambda1) (cos lambda2))
20.0ms
(* (sin lambda1) (sin lambda2))
81.0ms
(* (* (sin lambda1) (sin lambda2)) (* (sin phi1) (cos phi2)))
58.0ms
(* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (sin lambda1) (cos lambda2))
68.0ms
(* (sin lambda1) (sin lambda2))
144.0ms
(* (* (sin lambda1) (sin lambda2)) (* (sin phi1) (cos phi2)))
156.0ms
(* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))

simplify1.2s

Counts
104 → 104
Iterations
IterNodes
done2000
32000
21508
1422
0161

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))))
0.6b
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
0.6b
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
0.6b
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
22×cos-mult sin-cos-mult
20×frac-times
14×associate-*l/ associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 86
Calls
4 calls:
152.0ms
(* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))))
35.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
36.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
42.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))

series1.1s

Counts
4 → 12
Calls
4 calls:
328.0ms
(* (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))) (cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2)))))
294.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
269.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))
253.0ms
(cbrt (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))))

simplify1.1s

Counts
98 → 98
Iterations
IterNodes
done2001
32001
2979
1306
0120

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes676.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done39
139
028

end0.0ms

sample24.8s

Algorithm
intervals
Results
18.2s4683×body1280valid
4.6s1903×body640valid
1.1s548×body320valid
313.0ms644×body80valid
221.0ms222×body160valid