Details

Time bar (total: 11.4s)

sample107.0ms

Algorithm
intervals
Results
15.0ms339×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
055
175
2155
done155

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
48.0ms
(* (+ x y) z)

series146.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(* (+ x y) z)

simplify3.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
045178
1107175
2359151
31064151
44014151
done5000151

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
7.0ms
(sqrt (+ x y))
7.0ms
(sqrt (+ x y))
35.0ms
(* (sqrt (+ x y)) z)
75.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series224.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (+ x y))
39.0ms
(sqrt (+ x y))
84.0ms
(* (sqrt (+ x y)) z)
48.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: 3 (854.0ms)

IterNodesCost
01291179
1316951
2833861
32208833
done5002833

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
2.6b
(sqrt (* (+ x y) z))
2.6b
(sqrt (* (+ x y) z))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
36.0ms
(* (+ x y) z)
117.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
15.0ms
(sqrt (* (+ x y) z))
15.0ms
(sqrt (* (+ x y) z))

series347.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (+ x y) z)
32.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
132.0ms
(sqrt (* (+ x y) z))
140.0ms
(sqrt (* (+ x y) z))

simplify2.8s

Counts
116 → 116
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01221348
12571006
2826914
32824870
done5002864

prune329.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample893.0ms

Algorithm
intervals
Results
309.0ms10051×body80valid