Details

Time bar (total: 5.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

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: 0.6b

localize8.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (* 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 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
24.0ms
(/ (* x 100.0) (+ x y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (* x 100.0) (+ x y))

simplify736.0ms

Counts
30 → 30
Iterations

Useful iterations: done (735.0ms)

IterNodesCost
060287
1167274
2875240
done5001234

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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 expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
19.0ms
(/ 100.0 (+ x y))
55.0ms
(* x (/ 100.0 (+ x y)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 100.0 (+ x y))
52.0ms
(* x (/ 100.0 (+ x y)))

simplify540.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
0100735
1250693
21016635
done5000635

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
22.0ms
(/ (+ x y) 100.0)
26.0ms
(/ x (/ (+ x y) 100.0))

series91.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ x y) 100.0)
60.0ms
(/ x (/ (+ x y) 100.0))

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01731634
14431539
221561447
done50001437

prune269.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))))

rewrite181.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 303
Calls
3 calls:
20.0ms
(/ (+ x y) (sqrt 100.0))
26.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
105.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series367.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (+ x y) (sqrt 100.0))
116.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
159.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify463.0ms

Counts
312 → 312
Iterations

Useful iterations: done (453.0ms)

IterNodesCost
03074851
18824444
done50004172

prune569.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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
0811
11011
done1011

end0.0ms

sample547.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid