Details

Time bar (total: 13.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
24.0ms
(/ (* x 100.0) (+ x y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (* x 100.0) (+ x y))

simplify2.6s

Counts
28 → 28
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
058271
1152258
2532218
32258218
done5000218

prune54.0ms

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
17.0ms
(/ 100.0 (+ x y))
43.0ms
(* x (/ 100.0 (+ x y)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 100.0 (+ x y))
55.0ms
(* x (/ 100.0 (+ x y)))

simplify2.7s

Counts
76 → 76
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
096707
1220661
2585603
31586603
done5001603

prune157.0ms

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
(/ (sqrt 100.0) (+ x y))
0.3b
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
48×times-frac
34×add-sqr-sqrt add-cube-cbrt
30×associate-*r*
27×sqrt-prod
16×add-exp-log add-cbrt-cube
13×distribute-lft-out
pow1
prod-exp cbrt-unprod associate-/l*
associate-/r* associate-/r/
cbrt-undiv div-exp pow-prod-down
flip3-+ flip-+ div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 98
Calls
2 calls:
13.0ms
(/ (sqrt 100.0) (+ x y))
76.0ms
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (sqrt 100.0) (+ x y))
168.0ms
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

simplify2.1s

Counts
104 → 104
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
01231334
13201095
21252997
done5000997

prune231.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.2b
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
0.3b
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
682×times-frac
501×*-un-lft-identity
355×add-sqr-sqrt
347×sqrt-prod
331×add-cube-cbrt
173×associate-*r*
85×distribute-lft-out
34×associate-/r*
19×add-exp-log add-cbrt-cube
16×div-inv
10×associate-/l*
cbrt-undiv div-exp unswap-sqr
pow1
associate-*l* prod-exp cbrt-unprod add-log-exp
frac-2neg clear-num associate-/r/ associate-/l/
flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 464
Calls
3 calls:
37.0ms
(/ (+ x y) (sqrt 100.0))
122.0ms
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
44.0ms
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

series529.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (+ x y) (sqrt 100.0))
196.0ms
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
194.0ms
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

simplify2.3s

Counts
473 → 473
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03898199
19006971
227766283
done50016169

prune919.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample727.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid