Details

Time bar (total: 12.9s)

sample62.0ms

Algorithm
intervals
Results
21.0ms273×body80valid
15.0ms294×body80nan

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37314
49614
513014
619314
744514
8111814
9448514
done500114

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:
17.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
11.0ms
(* 3.0 (sqrt x))

series162.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ y (* 3.0 (sqrt x)))
23.0ms
(/ 1.0 (* x 9.0))
52.0ms
(* 3.0 (sqrt x))

simplify1.0s

Counts
73 → 73
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
0163640
1390595
21715525
done5000525

prune287.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
21.0ms
(/ 1.0 (* x 9.0))
28.0ms
(/ (/ y 3.0) (sqrt x))

series110.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1.0 (* x 9.0))
68.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.4s

Counts
139 → 139
Iterations

Useful iterations: 2 (514.0ms)

IterNodesCost
02731929
16511759
231401705
done50011705

prune520.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

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:
19.0ms
(/ y (* 3.0 (sqrt x)))
27.0ms
(* 3.0 (sqrt x))
22.0ms
(/ (/ 1.0 x) 9.0)

series168.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ y (* 3.0 (sqrt x)))
61.0ms
(* 3.0 (sqrt x))
31.0ms
(/ (/ 1.0 x) 9.0)

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: 2 (510.0ms)

IterNodesCost
02621317
16411226
228101154
done50001154

prune474.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (/ 1 (* 3.0 (sqrt x))))
0.2b
(/ 1 (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
60×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
41×add-exp-log
25×add-cbrt-cube
16×associate-/l*
14×prod-exp
13×associate-*r*
11×pow1 div-exp
7×cbrt-undiv div-inv
6×associate-*l* cbrt-unprod
4×rec-exp 1-exp associate-/r* sqrt-prod add-log-exp
3×pow-prod-down unswap-sqr
2×pow-flip frac-2neg clear-num *-commutative
1×associate-*r/ un-div-inv associate-/l/ inv-pow
Counts
4 → 152
Calls
4 calls:
40.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
15.0ms
(/ 1 (* 3.0 (sqrt x)))
16.0ms
(* 3.0 (sqrt x))
16.0ms
(/ (/ 1.0 x) 9.0)

series230.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
56.0ms
(/ 1 (* 3.0 (sqrt x)))
53.0ms
(* 3.0 (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)

simplify1.6s

Counts
164 → 164
Iterations

Useful iterations: 2 (618.0ms)

IterNodesCost
03061755
17941578
236531422
done50021422

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01416
11816
done1816

end0.0ms

sample2.1s

Algorithm
intervals
Results
983.0ms8499×body80nan
539.0ms8522×body80valid