Details

Time bar (total: 12.2s)

sample58.0ms

Algorithm
intervals
Results
30.0ms71×body1280valid
12.0ms57×body640valid
4.0ms35×body320valid
2.0ms82×body80valid
1.0ms80×body80nan
1.0ms11×body160valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.0b

localize3.0ms

Local error

Found 1 expressions with local error:

3.4b
(log (+ 1.0 x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
log-prod *-un-lft-identity
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
expm1-log1p-u flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 17
Calls
1 calls:
4.0ms
(log (+ 1.0 x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(log (+ 1.0 x))

simplify3.4s

Counts
20 → 20
Iterations

Useful iterations: done (3.4s)

IterNodesCost
060188
1132177
2293159
3601158
41413151
53597149
done5001147

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (log 1.0))

simplify639.0ms

Counts
13 → 13
Iterations

Useful iterations: 4 (153.0ms)

IterNodesCost
025202
145199
2103175
3276172
4918169
done5000169

prune37.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (log (+ 1.0 x)))
3.4b
(log (+ 1.0 x))
3.4b
(log (+ 1.0 x))
3.4b
(log (+ 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×log-prod
pow1 add-sqr-sqrt add-cube-cbrt
add-exp-log
log-div
cbrt-prod expm1-log1p-u log-pow add-cbrt-cube log1p-expm1-u add-log-exp
flip3-+ rem-log-exp flip-+ distribute-lft-out
pow1/3
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (+ 1.0 x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (log (+ 1.0 x)))
45.0ms
(log (+ 1.0 x))
39.0ms
(log (+ 1.0 x))
44.0ms
(log (+ 1.0 x))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0127866
1323811
2863731
32566670
done5000660

prune190.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

3.4b
(log (+ 1.0 x))
3.4b
(log (+ 1.0 x))
3.4b
(log (+ 1.0 x))
3.4b
(log (+ 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod *-un-lft-identity
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
expm1-log1p-u flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 68
Calls
4 calls:
5.0ms
(log (+ 1.0 x))
7.0ms
(log (+ 1.0 x))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (+ 1.0 x))

series178.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(log (+ 1.0 x))
41.0ms
(log (+ 1.0 x))
47.0ms
(log (+ 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify3.8s

Counts
80 → 80
Iterations

Useful iterations: done (3.8s)

IterNodesCost
060752
1132708
2293636
3601632
41413604
53597596
done5001588

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes110.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11422
done1422

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s2371×body1280valid
349.0ms1664×body640valid
86.0ms838×body320valid
57.0ms2707×body80valid
34.0ms2681×body80nan
25.0ms420×body160valid