Details

Time bar (total: 20.7s)

sample20.0ms

Algorithm
intervals
Results
6.0ms257×body80valid
4.0ms239×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
13.0ms
(* x (log x))

series312.0ms

Counts
1 → 3
Calls
1 calls:
312.0ms
(* x (log x))

simplify3.3s

Counts
28 → 28
Iterations
IterNodes
done5001
43078
3559
2209
198
053

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt x)) (+ x x))
0.3b
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
12×cbrt-prod associate-+r+ log-prod associate-*r*
8×distribute-rgt-in distribute-lft-in
7×pow1
6×add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
3×distribute-rgt-out pow1/3 distribute-lft-out
2×associate-+l+ flip3-+ associate-*r/ log-pow flip-+
1×+-commutative sum-log distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
18.0ms
(* (log (cbrt x)) (+ x x))
15.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
494.0ms
(* (log (cbrt x)) (+ x x))
539.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
290.0ms
(cbrt x)
314.0ms
(cbrt x)

simplify4.5s

Counts
92 → 92
Iterations
IterNodes
done5001
34463
21142
1339
0133

prune511.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt x)
281.0ms
(* (cbrt x) (cbrt x))
351.0ms
(cbrt (cbrt x))
379.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.6s

Counts
86 → 86
Iterations
IterNodes
done5001
31428
2516
1192
091

prune541.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (log (cbrt x)) (+ x x)) (* x (log (sqrt (cbrt x)))))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-+r+ log-prod
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×sqrt-prod
10×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×pow1 add-cbrt-cube add-exp-log
3×pow1/3
2×associate-+l+
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 64
Calls
4 calls:
14.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (sqrt (cbrt x)))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
931.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (sqrt (cbrt x)))))
215.0ms
(cbrt x)
241.0ms
(cbrt x)
239.0ms
(cbrt x)

simplify3.4s

Counts
76 → 76
Iterations
IterNodes
done5014
34169
2867
1288
0125

prune476.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample906.0ms

Algorithm
intervals
Results
291.0ms8041×body80valid
252.0ms8131×body80nan