Details

Time bar (total: 14.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
212123
315123
417123
518123
done18123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* x 100.0) (+ x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-cbrt-cube add-exp-log
4×associate-/r* times-frac
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
17.0ms
(/ (* x 100.0) (+ x y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (* x 100.0) (+ x y))

simplify2.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0585238
11654603
26454523
335524363
done51004363

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-cbrt-cube add-exp-log
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×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 70
Calls
2 calls:
9.0ms
(/ 100.0 (+ x y))
33.0ms
(* x (/ 100.0 (+ x y)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 100.0 (+ x y))
80.0ms
(* x (/ 100.0 (+ x y)))

simplify3.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
09614732
123913075
287612915
3475512755
done500812755

prune323.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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-cbrt-cube add-exp-log
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
28.0ms
(/ (+ x y) 100.0)
17.0ms
(/ x (/ (+ x y) 100.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (+ x y) 100.0)
73.0ms
(/ x (/ (+ x y) 100.0))

simplify3.3s

Counts
121 → 121
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
016935323
143032981
2132531802
3471631721
done500131721

prune417.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*r* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 70
Calls
2 calls:
9.0ms
(/ x (+ x y))
26.0ms
(* (/ x (+ x y)) 100.0)

series120.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ x (+ x y))
71.0ms
(* (/ x (+ x y)) 100.0)

simplify2.6s

Counts
76 → 76
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
010114403
125413415
280013054
3320013054
done501213054

prune287.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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 (1.0ms)

IterNodesCost
06123
18123
done8123

end0.0ms

sample487.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid