Details

Time bar (total: 5.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify16.0ms

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: 0.7b

localize5.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (* x 100.0) (+ x y))

rewrite20.0ms

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:
19.0ms
(/ (* x 100.0) (+ x y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (* x 100.0) (+ x y))

simplify644.0ms

Counts
28 → 28
Iterations

Useful iterations: done (643.0ms)

IterNodesCost
058271
1165258
2864224
done5001218

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 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)))

rewrite56.0ms

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:
18.0ms
(/ 100.0 (+ x y))
35.0ms
(* x (/ 100.0 (+ x y)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 100.0 (+ x y))
57.0ms
(* x (/ 100.0 (+ x y)))

simplify637.0ms

Counts
76 → 76
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
096707
1245665
2992611
done5000607

prune165.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:
22.0ms
(/ (+ x y) 100.0)
35.0ms
(/ x (/ (+ x y) 100.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ x y) 100.0)
72.0ms
(/ x (/ (+ x y) 100.0))

simplify1.1s

Counts
121 → 121
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01691606
14361512
221071420
done50001410

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(/ (/ x (+ x y)) (/ 1 100.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
348×*-un-lft-identity
256×add-sqr-sqrt add-cube-cbrt
46×distribute-lft-out
35×div-inv
31×associate-/r/
26×add-exp-log
21×associate-/l*
17×div-exp associate-/r*
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
1×associate-/l/
Counts
2 → 322
Calls
2 calls:
17.0ms
(/ x (+ x y))
48.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (+ x y))
61.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

simplify879.0ms

Counts
328 → 328
Iterations

Useful iterations: done (866.0ms)

IterNodesCost
04736817
116715728
done50015102

prune426.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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
089
1119
done119

end0.0ms

sample549.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid