Details

Time bar (total: 8.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
2179
3199
4219
5229
done229

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 841.0 108.0) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
15.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms
(* (/ 841.0 108.0) x)

series53.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms
(* (/ 841.0 108.0) x)

simplify1.9s

Counts
50 → 50
Iterations

Useful iterations: 3 (504.0ms)

IterNodesCost
097463
1241443
2693403
32086401
done5000401

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b
(* 841.0 (/ x 108.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
16.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
14.0ms
(* 841.0 (/ x 108.0))

series50.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
16.0ms
(* 841.0 (/ x 108.0))

simplify1.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (405.0ms)

IterNodesCost
099479
1251447
2708409
32008407
done5000407

prune87.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
0.2b
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.3b
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-*l*
76×times-frac sqrt-prod
68×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
29×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
10×pow1
7×associate-*l/
6×cbrt-undiv div-exp
5×add-log-exp unswap-sqr
4×associate-*r* pow-prod-down
3×frac-add
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 142
Calls
3 calls:
52.0ms
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
28.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
63.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series458.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
96.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
171.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify1.4s

Counts
151 → 151
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01682216
14712053
218221681
done50001637

prune314.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0))))
0.3b
(* 29.0 (/ (* 841.0 x) (sqrt 108.0)))
0.3b
(/ (* 841.0 x) (sqrt 108.0))
0.4b
(/ (+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0)))) (* (sqrt 108.0) 29.0))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×sqrt-prod
7×associate-/r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
4×associate-/l*
3×associate-*l* div-inv
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-*r/ pow-prod-down sum-log *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
10.0ms
(+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0))))
21.0ms
(* 29.0 (/ (* 841.0 x) (sqrt 108.0)))
12.0ms
(/ (* 841.0 x) (sqrt 108.0))
38.0ms
(/ (+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0)))) (* (sqrt 108.0) 29.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0))))
61.0ms
(* 29.0 (/ (* 841.0 x) (sqrt 108.0)))
67.0ms
(/ (* 841.0 x) (sqrt 108.0))
248.0ms
(/ (+ (* (sqrt 108.0) 4.0) (* 29.0 (/ (* 841.0 x) (sqrt 108.0)))) (* (sqrt 108.0) 29.0))

simplify819.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
01561570
14071452
215251258
done50011258

prune193.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample261.0ms

Algorithm
intervals
Results
150.0ms8006×body80valid
0.0ms2×body1280valid
0.0ms2×body160valid
0.0ms1×body640valid