Details

Time bar (total: 14.3s)

sample44.0ms

Algorithm
intervals
Results
28.0ms391×body80valid

simplify37.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:
29.0ms
(+ (* (* z z) 3) (* x y))
22.0ms
(* (* z z) 3)

series125.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(+ (* (* z z) 3) (* x y))
53.0ms
(* (* z z) 3)

simplify2.1s

Counts
38 → 38
Iterations
IterNodes
done5000
32138
2618
1184
062

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:
16.0ms
(+ (* z (* z 3)) (* x y))
28.0ms
(* z (* z 3))

series111.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* z (* z 3)) (* x y))
41.0ms
(* z (* z 3))

simplify2.5s

Counts
37 → 37
Iterations
IterNodes
done5006
32888
2596
1170
058

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
0.3b
(* (* (* z z) (sqrt 3)) (sqrt 3))
0.3b
(* (* z z) (sqrt 3))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
12×associate-*r*
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
7×*-un-lft-identity add-cube-cbrt sqrt-prod
5×add-log-exp
3×insert-posit16
2×associate-*l* *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 61
Calls
3 calls:
76.0ms
(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
71.0ms
(* (* (* z z) (sqrt 3)) (sqrt 3))
22.0ms
(* (* z z) (sqrt 3))

series309.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
118.0ms
(* (* (* z z) (sqrt 3)) (sqrt 3))
61.0ms
(* (* z z) (sqrt 3))

simplify3.0s

Counts
70 → 70
Iterations
IterNodes
done5005
33605
2957
1267
091

prune204.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (cbrt (sqrt 3)))
0.2b
(* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
0.3b
(* (* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3))) (sqrt 3))
0.3b
(* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3))))

rewrite806.0ms

Algorithm
rewrite-expression-head
Rules
88×pow1
61×add-exp-log
50×pow-prod-down
41×prod-exp cbrt-unprod
38×add-cbrt-cube
25×associate-*r*
22×add-sqr-sqrt
16×cbrt-prod
13×*-un-lft-identity add-cube-cbrt
11×sqrt-prod
6×associate-*l* unswap-sqr
4×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 133
Calls
4 calls:
11.0ms
(* z (cbrt (sqrt 3)))
159.0ms
(* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
593.0ms
(* (* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3))) (sqrt 3))
38.0ms
(* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3))))

series1.0s

Counts
4 → 12
Calls
4 calls:
399.0ms
(* z (cbrt (sqrt 3)))
99.0ms
(* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
89.0ms
(* (* (* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3)))) (cbrt (sqrt 3))) (sqrt 3))
436.0ms
(* (* z (cbrt (sqrt 3))) (* z (cbrt (sqrt 3))))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5003
21762
1391
0138

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes334.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample918.0ms

Algorithm
intervals
Results
639.0ms12246×body80valid