Details

Time bar (total: 1.1m)

sample629.0ms

Algorithm
intervals
Results
313.0ms102×body1280valid
211.0ms55×body640valid
23.0ms64×body80valid
22.0ms18×body320valid
15.0ms17×body160valid

simplify155.0ms

Counts
1 → 1
Iterations
IterNodes
done55
355
254
135
022

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize353.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.3b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.3b
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.5b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite133.0ms

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
2×pow-prod-down prod-exp *-commutative cbrt-unprod sin-mult unswap-sqr
1×asin-acos sub-neg flip3-- diff-log flip--
Counts
4 → 62
Calls
4 calls:
54.0ms
(* (sin theta) (sin delta))
5.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
47.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
22.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (sin theta) (sin delta))
39.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
389.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
492.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify5.8s

Counts
74 → 74
Iterations
IterNodes
done5001
32253
2744
1317
0148

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize375.0ms

Local error

Found 4 expressions with local error:

0.3b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.3b
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.5b
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))
3.5b
(log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×*-un-lft-identity
8×pow1 add-cube-cbrt
6×log-prod add-cbrt-cube add-exp-log add-log-exp
4×log-pow insert-posit16
3×associate-*r* associate-*l* associate--r+
2×distribute-lft-out--
1×asin-acos exp-prod sub-neg flip3-- exp-to-pow diff-log rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- sin-mult difference-of-squares unswap-sqr
Counts
4 → 63
Calls
4 calls:
11.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
45.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
28.0ms
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))
28.0ms
(log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
62.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
340.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
418.0ms
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))
370.0ms
(log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))

simplify10.6s

Counts
75 → 75
Iterations
IterNodes
done5001
44892
31771
2616
1273
0137

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize256.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (sin phi1) (sin delta)) (cos theta)) (cos phi1))
0.2b
(* (sin theta) (sin delta))
0.2b
(* (sin phi1) (sin delta))
0.3b
(* (cos phi1) (cos phi1))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
19×add-sqr-sqrt add-cbrt-cube add-exp-log
13×*-un-lft-identity add-cube-cbrt
12×associate-*r*
10×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
4×*-commutative insert-posit16 add-log-exp
3×swap-sqr sin-mult unswap-sqr
2×associate-*l/
1×pow2 sqr-cos pow-plus pow-sqr cos-mult pow-prod-up
Counts
4 → 91
Calls
4 calls:
286.0ms
(* (* (* (sin phi1) (sin delta)) (cos theta)) (cos phi1))
30.0ms
(* (sin theta) (sin delta))
56.0ms
(* (sin phi1) (sin delta))
49.0ms
(* (cos phi1) (cos phi1))

series523.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (* (* (sin phi1) (sin delta)) (cos theta)) (cos phi1))
87.0ms
(* (sin theta) (sin delta))
95.0ms
(* (sin phi1) (sin delta))
49.0ms
(* (cos phi1) (cos phi1))

simplify8.9s

Counts
103 → 103
Iterations
IterNodes
done5004
33950
21200
1384
0152

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize276.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.2b
(* (sin phi1) (sin delta))
0.3b
(* (cos phi1) (cos phi1))
2.6b
(log (* (cos phi1) (cos phi1)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
18×add-sqr-sqrt
13×add-exp-log
12×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube
9×associate-*r* associate-*l*
6×log-pow
4×pow-prod-down prod-exp insert-posit16 add-log-exp
3×swap-sqr *-commutative cbrt-unprod unswap-sqr
2×pow2 pow-plus rem-log-exp pow-sqr cos-mult pow-prod-up sin-mult
1×log-div sqr-cos log-prod
Counts
4 → 86
Calls
4 calls:
50.0ms
(* (sin theta) (sin delta))
34.0ms
(* (sin phi1) (sin delta))
45.0ms
(* (cos phi1) (cos phi1))
21.0ms
(log (* (cos phi1) (cos phi1)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (sin theta) (sin delta))
107.0ms
(* (sin phi1) (sin delta))
32.0ms
(* (cos phi1) (cos phi1))
211.0ms
(log (* (cos phi1) (cos phi1)))

simplify6.6s

Counts
98 → 98
Iterations
IterNodes
done5004
43158
31507
2674
1293
0134

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done29
129
022

end0.0ms

sample21.6s

Algorithm
intervals
Results
13.1s3135×body1280valid
5.5s1865×body640valid
1.2s681×body320valid
946.0ms1994×body80valid
292.0ms325×body160valid