Details

Time bar (total: 10.9s)

sample74.0ms

Algorithm
intervals
Results
34.0ms60×body1280valid
18.0ms58×body640valid
5.0ms31×body320valid
3.0ms96×body80valid
1.0ms70×body80nan
1.0ms11×body160valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize14.0ms

Local error

Found 1 expressions with local error:

3.5b
(log (+ 1.0 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
log-prod *-un-lft-identity
add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt
flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
8.0ms
(log (+ 1.0 x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(log (+ 1.0 x))

simplify740.0ms

Counts
18 → 18
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
058178
1123171
2369151
31263151
done5001146

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
diff-log associate-*r/ frac-sub
add-sqr-sqrt pow1 sum-log sub-neg *-un-lft-identity flip3-+ flip3-- add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt flip-+ flip--
Counts
1 → 16
Calls
1 calls:
61.0ms
(- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify549.0ms

Counts
19 → 19
Iterations

Useful iterations: done (548.0ms)

IterNodesCost
060498
1186475
2828440
done5000427

prune95.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- 1.0 (* x 0.5)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
26.0ms
(* x (- 1.0 (* x 0.5)))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(* x (- 1.0 (* x 0.5)))

simplify2.6s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
051273
1133270
2569244
34580238
done5000238

prune96.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt x) (cbrt x))
275.0ms
(cbrt x)
327.0ms
(cbrt x)
252.0ms
(cbrt x)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
061524
1138420
2727397
done5000383

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes253.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01726
12126
done2126

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s2332×body1280valid
606.0ms1637×body640valid
149.0ms843×body320valid
140.0ms2798×body80valid
112.0ms2683×body80nan
41.0ms390×body160valid