Details

Time bar (total: 10.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify12.0ms

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: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
26.0ms
(/ (* x 100.0) (+ x y))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (* x 100.0) (+ x y))

simplify1.8s

Counts
28 → 28
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
058271
1152258
2532218
32258218
done5000218

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
11.0ms
(/ 100.0 (+ x y))
28.0ms
(* x (/ 100.0 (+ x y)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ 100.0 (+ x y))
62.0ms
(* x (/ 100.0 (+ x y)))

simplify2.2s

Counts
76 → 76
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
096707
1220661
2585603
31586603
done5001603

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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)
17.0ms
(/ x (/ (+ x y) 100.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ x y) 100.0)
51.0ms
(/ x (/ (+ x y) 100.0))

simplify2.3s

Counts
121 → 121
Iterations

Useful iterations: 3 (897.0ms)

IterNodesCost
01691606
13651484
211021412
331741410
done50001410

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.1b
(/ x (/ (+ x y) (sqrt 100.0)))
0.2b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite143.0ms

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:
19.0ms
(/ (+ x y) (sqrt 100.0))
21.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
85.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series328.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ (+ x y) (sqrt 100.0))
91.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
143.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify1.9s

Counts
306 → 306
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03014795
16944229
225944027
done50003973

prune643.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample616.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid