Details

Time bar (total: 10.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms379×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
08203
115203
225203
338164
448164
552164
done52164

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
7.0ms
(+ (* x y) (* 3 (* z z)))
15.0ms
(* 3 (* z z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* x y) (* 3 (* z z)))
40.0ms
(* 3 (* z z))

simplify877.0ms

Counts
36 → 36
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
0577770
11876074
29426074
done50016074

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ (* x y) (* (* 3 z) z))
19.0ms
(* (* 3 z) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* x y) (* (* 3 z) z))
39.0ms
(* (* 3 z) z)

simplify1.1s

Counts
35 → 35
Iterations

Useful iterations: 2 (243.0ms)

IterNodesCost
0597646
11815989
210935909
done50005909

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 62
Calls
3 calls:
13.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
84.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
30.0ms
(* (cbrt 3) (* z z))

series350.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
124.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
71.0ms
(* (cbrt 3) (* z z))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
08921272
126418546
2125217104
done500012383

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
95×pow1 add-exp-log
69×pow-prod-down prod-exp cbrt-unprod
49×add-cbrt-cube
12×cbrt-prod
11×associate-*l*
10×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 118
Calls
4 calls:
24.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))))
26.0ms
(* (cbrt (cbrt 3)) (* z z))
214.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z))))
61.0ms
(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))

series706.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))))
373.0ms
(* (cbrt (cbrt 3)) (* z z))
121.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z))))
94.0ms
(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))

simplify2.3s

Counts
130 → 130
Iterations

Useful iterations: done (2.3s)

IterNodesCost
014255875
148148067
2260646427
done500225140

prune418.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes297.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
111164
done11164

end0.0ms

sample1.2s

Algorithm
intervals
Results
890.0ms12299×body80valid