Details

Time bar (total: 34.2s)

sample369.0ms

Algorithm
intervals
Results
218.0ms96×body1280valid
49.0ms45×body640valid
19.0ms25×body320valid
17.0ms77×body80valid
6.0ms13×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
42752
3622
2177
174
032

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize94.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (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))
1.5b
(- (cos x) (cos y))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-cbrt-cube add-exp-log
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:
99.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
52.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms
(- 3.0 (sqrt 5.0))
11.0ms
(- (cos x) (cos y))

series341.0ms

Counts
4 → 10
Calls
4 calls:
172.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
96.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
73.0ms
(- (cos x) (cos y))

simplify1.8s

Counts
104 → 104
Iterations
IterNodes
done5027
22108
1652
0241

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize128.0ms

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))
1.5b
(- (cos x) (cos y))
2.6b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite72.0ms

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×sub-neg add-cbrt-cube associate-*r* associate-*l* add-exp-log
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 times-frac exp-to-pow 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)))
5.0ms
(- 3.0 (sqrt 5.0))
6.0ms
(- (cos x) (cos y))
7.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series431.0ms

Counts
4 → 10
Calls
4 calls:
128.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
76.0ms
(- (cos x) (cos y))
226.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify3.0s

Counts
89 → 89
Iterations
IterNodes
done5000
34798
21240
1449
0201

prune968.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize145.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (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)))
1.5b
(- (cos x) (cos y))
2.6b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-cbrt-cube add-exp-log
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×log-prod sub-neg associate-*l* add-log-exp
6×distribute-rgt-in distribute-lft-in
5×difference-of-squares
4×frac-times exp-sum pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×log-pow distribute-lft-out--
2×times-frac associate-*l/ *-commutative unswap-sqr
1×exp-prod exp-to-pow diff-log rem-log-exp diff-cos
Counts
4 → 97
Calls
4 calls:
140.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
68.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms
(- (cos x) (cos y))
14.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
128.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
76.0ms
(- (cos x) (cos y))
202.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.8s

Counts
109 → 109
Iterations
IterNodes
done5003
21951
1590
0224

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize161.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))
3.2b
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
3.2b
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×log-prod
15×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity
10×log-pow add-log-exp
8×pow1 exp-sum add-cube-cbrt
6×sub-neg sqrt-pow1 add-exp-log
4×distribute-rgt-in distribute-lft-in add-cbrt-cube
3×difference-of-squares
2×exp-prod flip3-- exp-to-pow pow1/2 diff-log rem-log-exp flip-- distribute-lft-out--
1×diff-cos
Counts
4 → 76
Calls
4 calls:
10.0ms
(- 3.0 (sqrt 5.0))
11.0ms
(- (cos x) (cos y))
16.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
15.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

series869.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
82.0ms
(- (cos x) (cos y))
326.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
461.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5001
32036
2673
1313
0162

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.2b

regimes436.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
done47
147
037

end0.0ms

sample14.9s

Algorithm
intervals
Results
8.5s2773×body1280valid
3.6s1833×body640valid
1.2s2229×body80valid
972.0ms800×body320valid
355.0ms365×body160valid