Details

Time bar (total: 6.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
25.0ms
(/ (* x 100.0) (+ x y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* x 100.0) (+ x y))

simplify633.0ms

Counts
28 → 28
Iterations

Useful iterations: done (632.0ms)

IterNodesCost
058271
1165258
2864224
done5001218

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
31.0ms
(/ (+ x y) 100.0)
23.0ms
(/ x (/ (+ x y) 100.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ x y) 100.0)
65.0ms
(/ x (/ (+ x y) 100.0))

simplify1.1s

Counts
121 → 121
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01691606
14361512
221071420
done50001410

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))))

rewrite160.0ms

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:
36.0ms
(/ (+ x y) (sqrt 100.0))
23.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
71.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series391.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(/ (+ x y) (sqrt 100.0))
110.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
180.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify578.0ms

Counts
306 → 306
Iterations

Useful iterations: done (565.0ms)

IterNodesCost
03014795
18744359
done50004117

prune894.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ x y) (* x 100.0))
0.3b
(/ 1 (/ (+ x y) (* x 100.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
28×add-exp-log
21×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube
14×div-exp
9×associate-/r*
7×cbrt-undiv associate-/l*
6×div-inv distribute-lft-out
4×prod-exp
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 85
Calls
2 calls:
36.0ms
(/ (+ x y) (* x 100.0))
32.0ms
(/ 1 (/ (+ x y) (* x 100.0)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (+ x y) (* x 100.0))
78.0ms
(/ 1 (/ (+ x y) (* x 100.0)))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01301167
13471011
21547889
done5000831

prune201.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample520.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid