Details

Time bar (total: 6.0s)

sample71.0ms

Algorithm
intervals
Results
49.0ms398×body80valid

simplify44.0ms

Counts
1 → 1
Iterations
IterNodes
done47
547
444
337
225
115
08

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* z z) 3) (* x y))
0.2b
(* (* z z) 3)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
18.0ms
(+ (* (* z z) 3) (* x y))
31.0ms
(* (* z z) 3)

series87.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* (* z z) 3) (* x y))
45.0ms
(* (* z z) 3)

simplify428.0ms

Counts
38 → 38
Iterations
IterNodes
done2000
2618
1184
062

prune186.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* z (* z 3)) (* x y))
0.1b
(* z (* z 3))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
26.0ms
(+ (* z (* z 3)) (* x y))
22.0ms
(* z (* z 3))

series103.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* z (* z 3)) (* x y))
43.0ms
(* z (* z 3))

simplify472.0ms

Counts
37 → 37
Iterations
IterNodes
done2001
2596
1170
058

prune137.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
2×associate-+l+
Counts
3 → 41
Calls
3 calls:
22.0ms
(+ (+ (* x y) (* z z)) (* z z))
8.0ms
(+ (* x y) (* z z))
87.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series134.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (+ (* x y) (* z z)) (* z z))
38.0ms
(+ (* x y) (* z z))
47.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify430.0ms

Counts
50 → 50
Iterations
IterNodes
done2007
2906
1228
073

prune168.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (* z 3))
0.3b
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
18.4b
(sqrt (* z (* z 3)))
18.4b
(sqrt (* z (* z 3)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod insert-posit16 add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 112
Calls
4 calls:
18.0ms
(* z (* z 3))
82.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
11.0ms
(sqrt (* z (* z 3)))
16.0ms
(sqrt (* z (* z 3)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (* z 3))
94.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
44.0ms
(sqrt (* z (* z 3)))
43.0ms
(sqrt (* z (* z 3)))

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done2000
31802
2513
1206
082

prune321.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
980.0ms12238×body80valid