Details

Time bar (total: 10.1s)

sample61.0ms

Algorithm
intervals
Results
32.0ms393×body80valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
0815
11515
22513
3389
4489
5529
done529

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* z z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
44.0ms
(* 3 (* z z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* 3 (* z z))

simplify578.0ms

Counts
22 → 22
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
034162
197149
2551129
done5000129

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 3 z) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
18.0ms
(* (* 3 z) z)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* 3 z) z)

simplify722.0ms

Counts
21 → 21
Iterations

Useful iterations: done (721.0ms)

IterNodesCost
036157
1101146
2700126
done5000122

prune37.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
2 → 47
Calls
2 calls:
21.0ms
(* (sqrt 3) (* z z))
63.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (sqrt 3) (* z z))
89.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))

simplify858.0ms

Counts
53 → 53
Iterations

Useful iterations: done (855.0ms)

IterNodesCost
057558
1168428
21133368
done5001360

prune161.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt 3)) (* z z))
0.2b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
0.3b
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
48×cbrt-prod
46×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
27×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r* unswap-sqr
11×swap-sqr
pow1/3
*-commutative add-log-exp
pow-sqr pow-prod-up
pow2 pow-plus
Counts
4 → 147
Calls
4 calls:
41.0ms
(* (cbrt (sqrt 3)) (* z z))
92.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
327.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
21.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series559.0ms

Counts
4 → 10
Calls
4 calls:
380.0ms
(* (cbrt (sqrt 3)) (* z z))
70.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
108.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify3.6s

Counts
157 → 157
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01412428
14072228
231021516
done50011176

prune436.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s12277×body80valid