Details

Time bar (total: 7.4s)

sample25.0ms

Algorithm
intervals
Results
9.0ms297×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4657
5917
62197
75797
816347
948567
done50007

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) y)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
37.0ms
(* x (- y z))
24.0ms
(/ (* x (- y z)) y)

series118.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) y)

simplify687.0ms

Counts
55 → 55
Iterations

Useful iterations: done (686.0ms)

IterNodesCost
090481
1236457
2976407
done5000399

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.2b
(* x (/ (- y z) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l* distribute-lft-out-- difference-of-squares
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
44.0ms
(* x (/ (- y z) y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* x (/ (- y z) y))

simplify565.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
080415
1209396
2854350
done5000350

prune125.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.2b
(/ x (/ y (- y z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
18.0ms
(/ y (- y z))
28.0ms
(/ x (/ y (- y z)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ y (- y z))
72.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02182050
15601936
228181850
done50011842

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

11.9b
(* (/ x y) (- y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
37.0ms
(* (/ x y) (- y z))

series80.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (/ x y) (- y z))

simplify706.0ms

Counts
45 → 45
Iterations

Useful iterations: done (704.0ms)

IterNodesCost
094463
1249452
21170410
done5000402

prune100.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

45.7% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01441
11835
done1835

end0.0ms

sample821.0ms

Algorithm
intervals
Results
411.0ms9622×body80valid