Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
10.0ms313×body80valid

simplify87.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.8b
(/ (* x (- y z)) y)

rewrite66.0ms

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:
38.0ms
(* x (- y z))
26.0ms
(/ (* x (- y z)) y)

series113.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) y)

simplify2.6s

Counts
55 → 55
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.0b
(* x (/ (- y z) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
16.0ms
(/ (- y z) y)
31.0ms
(* x (/ (- y z) y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- y z) y)
64.0ms
(* x (/ (- y z) y))

simplify1.9s

Counts
82 → 82
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
0111813
1259769
2751706
32537706
done5000706

prune201.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite48.0ms

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:
19.0ms
(/ y (- y z))
18.0ms
(/ x (/ y (- y z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ y (- y z))
69.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune400.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

13.2b
(* (/ x y) (- y z))

rewrite43.0ms

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:
41.0ms
(* (/ x y) (- y z))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(* (/ x y) (- y z))

simplify2.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
094463
1241452
2794410
32790394
done5000394

prune159.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

46.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01441
11835
done1835

end0.0ms

sample1.4s

Algorithm
intervals
Results
874.0ms9640×body80valid