Details

Time bar (total: 16.4s)

sample181.0ms

Algorithm
intervals
Results
90.0ms84×body1280valid
42.0ms54×body640valid
12.0ms26×body320valid
12.0ms83×body80valid
3.0ms9×body160valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03250
17450
218150
365350
4266450
done500050

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
98.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
51.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series280.0ms

Counts
4 → 10
Calls
4 calls:
133.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
57.0ms
(- (cos x) (cos y))

simplify939.0ms

Counts
104 → 104
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
02381837
16221770
221871621
done50021619

prune541.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))
3.9b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
14×*-un-lft-identity
9×add-log-exp
8×add-cube-cbrt
7×pow1 log-prod
6×add-exp-log sub-neg associate-*r* associate-*l* add-cbrt-cube
5×sqrt-prod difference-of-squares
4×distribute-rgt-in distribute-lft-in exp-sum
3×flip3-- log-pow flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×exp-prod exp-to-pow times-frac rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 79
Calls
4 calls:
51.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
7.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series236.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
53.0ms
(- (cos x) (cos y))
90.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
01771111
13561036
2910959
32372949
done5000949

prune546.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))
3.9b
(log (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
15×*-un-lft-identity
13×sqrt-prod
11×log-prod
10×distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*l* add-log-exp
8×sub-neg exp-sum
7×pow1
6×add-exp-log associate-*r* add-cbrt-cube
5×difference-of-squares
3×flip3-- log-pow flip-- distribute-lft-out-- unswap-sqr
2×diff-log associate-*r/
1×exp-prod exp-to-pow times-frac rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 87
Calls
4 calls:
54.0ms
(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
6.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
11.0ms
(log (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))))

series275.0ms

Counts
4 → 10
Calls
4 calls:
121.0ms
(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
61.0ms
(- (cos x) (cos y))
93.0ms
(log (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))))

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: 3 (713.0ms)

IterNodesCost
02081453
14161199
210971116
331061105
done50001105

prune580.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))
3.5b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
14×*-un-lft-identity
9×add-log-exp
8×add-cube-cbrt
7×pow1 log-prod
6×add-exp-log sub-neg associate-*r* associate-*l* add-cbrt-cube
5×sqrt-prod difference-of-squares
4×distribute-rgt-in distribute-lft-in exp-sum
3×flip3-- log-pow flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×exp-prod exp-to-pow times-frac rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 79
Calls
4 calls:
50.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
8.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series291.0ms

Counts
4 → 10
Calls
4 calls:
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
60.0ms
(- (cos x) (cos y))
141.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify2.1s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01981357
14231284
211991176
337161169
done50011169

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

regimes159.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03452
14352
done4352

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.1s2719×body1280valid
1.3s1803×body640valid
403.0ms759×body320valid
334.0ms2379×body80valid
107.0ms340×body160valid