Details

Time bar (total: 5.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize5.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (* x 100.0) (+ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
20.0ms
(/ (* x 100.0) (+ x y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (* x 100.0) (+ x y))

simplify607.0ms

Counts
28 → 28
Iterations

Useful iterations: done (606.0ms)

IterNodesCost
058271
1165258
2864224
done5001218

prune50.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.2b
(* x (/ 100.0 (+ x y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
13.0ms
(/ 100.0 (+ x y))
29.0ms
(* x (/ 100.0 (+ x y)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 100.0 (+ x y))
52.0ms
(* x (/ 100.0 (+ x y)))

simplify632.0ms

Counts
76 → 76
Iterations

Useful iterations: done (630.0ms)

IterNodesCost
096707
1245665
2992611
done5000607

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) 100.0)
0.2b
(/ x (/ (+ x y) 100.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
21.0ms
(/ (+ x y) 100.0)
21.0ms
(/ x (/ (+ x y) 100.0))

series101.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) 100.0)
68.0ms
(/ x (/ (+ x y) 100.0))

simplify1.0s

Counts
121 → 121
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01691606
14361512
221071420
done50001410

prune263.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.1b
(/ x (/ (+ x y) (sqrt 100.0)))
0.1b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
283×*-un-lft-identity
211×add-sqr-sqrt
185×add-cube-cbrt
108×sqrt-prod
89×associate-*r*
49×distribute-lft-out
34×associate-/r*
19×add-exp-log add-cbrt-cube
10×div-inv
8×unswap-sqr
7×cbrt-undiv div-exp associate-/l*
6×associate-*l*
5×pow1
3×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 297
Calls
3 calls:
30.0ms
(/ (+ x y) (sqrt 100.0))
30.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
100.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series402.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(/ (+ x y) (sqrt 100.0))
114.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
168.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify576.0ms

Counts
306 → 306
Iterations

Useful iterations: done (565.0ms)

IterNodesCost
03014795
18744359
done50004117

prune531.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample552.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid