Details

Time bar (total: 10.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ (* x 100.0) (+ x y))

series50.0ms

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

simplify1.5s

Counts
30 → 30
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
060287
1156274
2519234
32267234
done5000234

prune56.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
8.0ms
(/ (+ x y) 100.0)
8.0ms
(/ x (/ (+ x y) 100.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ x y) 100.0)
53.0ms
(/ x (/ (+ x y) 100.0))

simplify2.5s

Counts
125 → 125
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01731634
13861511
211101439
340731437
done50001437

prune223.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(/ (/ x (+ x y)) (/ 1 100.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
348×*-un-lft-identity
256×add-sqr-sqrt add-cube-cbrt
46×distribute-lft-out
35×div-inv
31×associate-/r/
26×add-exp-log
21×associate-/l*
17×div-exp associate-/r*
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 326
Calls
2 calls:
5.0ms
(/ x (+ x y))
18.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (+ x y))
55.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

simplify2.4s

Counts
332 → 332
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
04776849
114425914
241155036
done50005036

prune570.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:
8.0ms
(/ (+ x y) (sqrt 100.0))
47.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
11.0ms
(/ x (/ (+ x y) (sqrt 100.0)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ (+ x y) (sqrt 100.0))
138.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
90.0ms
(/ x (/ (+ x y) (sqrt 100.0)))

simplify1.2s

Counts
312 → 312
Iterations

Useful iterations: 2 (453.0ms)

IterNodesCost
03074851
17314346
225904082
done50004082

prune537.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample286.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid