Details

Time bar (total: 11.9s)

sample36.0ms

Algorithm
intervals
Results
9.0ms328×body80nan
9.0ms280×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 64
Calls
3 calls:
10.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series118.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify2.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (980.0ms)

IterNodesCost
0163640
1369595
21077515
33790505
done5000505

prune163.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
9.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
9.0ms
(* 3.0 (sqrt x))

series115.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ (/ 1.0 x) 9.0)
41.0ms
(* 3.0 (sqrt x))

simplify2.1s

Counts
122 → 122
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02621317
15901226
215001144
345931134
done50001134

prune303.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
81×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
16×associate-/l*
12×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×prod-exp cbrt-unprod associate-/l/
Counts
2 → 133
Calls
2 calls:
7.0ms
(/ 1.0 (* x 9.0))
13.0ms
(/ (/ y 3.0) (sqrt x))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1.0 (* x 9.0))
56.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.9s

Counts
139 → 139
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02731929
16061759
215271699
345271689
done50001689

prune308.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
0.3b
(/ (/ 1.0 x) (sqrt 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
1560×times-frac
739×add-sqr-sqrt
735×add-cube-cbrt *-un-lft-identity
568×sqrt-prod
98×associate-/l*
59×div-inv
25×add-exp-log add-cbrt-cube
13×associate-/r*
11×cbrt-undiv div-exp
6×pow1 associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 752
Calls
4 calls:
9.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
12.0ms
(/ (/ 1.0 x) (sqrt 9.0))
10.0ms
(* 3.0 (sqrt x))

series267.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ y (* 3.0 (sqrt x)))
97.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
59.0ms
(/ (/ 1.0 x) (sqrt 9.0))
48.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
764 → 764
Iterations

Useful iterations: done (1.7s)

IterNodesCost
091016178
1198214152
2442613285
done500013073

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes46.0ms

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
01214
11314
done1314

end0.0ms

sample891.0ms

Algorithm
intervals
Results
266.0ms8551×body80valid
241.0ms8779×body80nan