Details

Time bar (total: 17.1s)

sample110.0ms

Algorithm
intervals
Results
62.0ms71×body1280valid
20.0ms47×body640valid
8.0ms35×body320valid
5.0ms89×body80valid
3.0ms80×body80nan
2.0ms14×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize21.0ms

Local error

Found 1 expressions with local error:

4.7b
(log (+ 1 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt
1×flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
8.0ms
(log (+ 1 x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(log (+ 1 x))

simplify3.5s

Counts
19 → 19
Iterations
IterNodes
done5002
54335
41444
3558
2241
1112
055

prune102.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1/3 x) 1/2)
0.0b
(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
0.1b
(* (* x x) (- (* 1/3 x) 1/2))
0.4b
(* 1/3 x)

rewrite884.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
30×associate-*l*
26×*-un-lft-identity
14×add-cube-cbrt
13×associate-*r*
11×pow1 add-cbrt-cube add-exp-log
10×unswap-sqr
8×add-log-exp
5×sub-neg distribute-lft-out
4×distribute-rgt-in associate-+l+ distribute-lft-in swap-sqr pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 distribute-lft-out-- difference-of-squares
2×flip3-- associate-*r/ flip--
1×+-commutative sum-log flip3-+ diff-log flip-+
Counts
4 → 105
Calls
4 calls:
51.0ms
(- (* 1/3 x) 1/2)
656.0ms
(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
167.0ms
(* (* x x) (- (* 1/3 x) 1/2))
7.0ms
(* 1/3 x)

series237.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* 1/3 x) 1/2)
34.0ms
(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
140.0ms
(* (* x x) (- (* 1/3 x) 1/2))
16.0ms
(* 1/3 x)

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5000
21276
1399
0135

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
6.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt x)
278.0ms
(cbrt x)
249.0ms
(cbrt x)
302.0ms
(cbrt x)

simplify2.2s

Counts
60 → 60
Iterations
IterNodes
done5000
51361
4446
3184
295
145
025

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1 x))
0.0b
(sqrt (+ 1 x))
4.7b
(log (sqrt (+ 1 x)))
4.7b
(log (sqrt (+ 1 x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×sqrt-prod
14×log-prod
12×add-sqr-sqrt
10×pow1 add-cube-cbrt
8×sqrt-div
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 flip-+ insert-posit16 distribute-lft-out add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 76
Calls
4 calls:
13.0ms
(sqrt (+ 1 x))
13.0ms
(sqrt (+ 1 x))
10.0ms
(log (sqrt (+ 1 x)))
10.0ms
(log (sqrt (+ 1 x)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(sqrt (+ 1 x))
32.0ms
(sqrt (+ 1 x))
72.0ms
(log (sqrt (+ 1 x)))
85.0ms
(log (sqrt (+ 1 x)))

simplify2.9s

Counts
88 → 88
Iterations
IterNodes
done5021
53864
41525
3679
2323
1155
081

prune358.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes72.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.3b

bsearch3.0ms

simplify7.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.8s2256×body1280valid
673.0ms1633×body640valid
225.0ms894×body320valid
173.0ms2756×body80valid
93.0ms2550×body80nan
60.0ms461×body160valid