Details

Time bar (total: 52.9s)

sample334.0ms

Algorithm
intervals
Results
188.0ms82×body1280valid
71.0ms66×body640valid
18.0ms85×body80valid
10.0ms13×body320valid
5.0ms10×body160valid

simplify4.1s

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize240.0ms

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))
1.6b
(- (cos x) (cos y))

rewrite321.0ms

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 insert-posit16 distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 98
Calls
4 calls:
192.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
94.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
16.0ms
(- 3.0 (sqrt 5.0))
13.0ms
(- (cos x) (cos y))

series623.0ms

Counts
4 → 10
Calls
4 calls:
333.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
182.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
108.0ms
(- (cos x) (cos y))

simplify3.7s

Counts
108 → 108
Iterations
IterNodes
done5006
22117
1656
0245

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize161.0ms

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))) (- (cos x) (cos y)))
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)))
1.6b
(- (cos x) (cos y))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-cbrt-cube add-exp-log
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp difference-of-squares
4×sqrt-prod insert-posit16 distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 137
Calls
4 calls:
631.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
220.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
117.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms
(- (cos x) (cos y))

series1.0s

Counts
4 → 12
Calls
4 calls:
454.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
276.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
176.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
133.0ms
(- (cos x) (cos y))

simplify6.3s

Counts
149 → 149
Iterations
IterNodes
done5001
24016
1894
0276

prune3.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize266.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (exp (* (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)))
1.6b
(- (cos x) (cos y))
5.1b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r* associate-*l*
10×pow1 add-cube-cbrt
8×add-cbrt-cube add-exp-log add-log-exp
7×log-prod sub-neg
6×distribute-rgt-in distribute-lft-in log-pow
5×difference-of-squares
4×exp-sum associate-*r/ sqrt-prod insert-posit16
3×flip3-- flip-- distribute-lft-out-- unswap-sqr
2×exp-prod times-frac exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod
1×diff-log rem-log-exp diff-cos
Counts
4 → 98
Calls
4 calls:
126.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
118.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
16.0ms
(- (cos x) (cos y))
12.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series847.0ms

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
218.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
108.0ms
(- (cos x) (cos y))
182.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify3.2s

Counts
110 → 110
Iterations
IterNodes
done5000
21476
1477
0212

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize353.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.6b
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.6b
(- (cos x) (cos y))
5.1b
(log (exp (* (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×pow1 add-cube-cbrt
4×cbrt-div add-cbrt-cube associate-*r/ add-exp-log insert-posit16
3×log-prod flip3-- log-pow flip--
2×cbrt-prod pow1/3
1×exp-prod sub-neg exp-to-pow diff-log rem-log-exp diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
28.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
41.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
23.0ms
(- (cos x) (cos y))
11.0ms
(log (exp (* (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
459.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
503.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
133.0ms
(- (cos x) (cos y))
192.0ms
(log (exp (* (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))))

simplify3.7s

Counts
67 → 67
Iterations
IterNodes
done5003
31901
2677
1299
0143

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

regimes866.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify33.0ms

Iterations
IterNodes
done51
151
040

end0.0ms

sample15.2s

Algorithm
intervals
Results
8.9s2721×body1280valid
3.2s1888×body640valid
1.3s766×body320valid
1.2s2276×body80valid
206.0ms349×body160valid