Details

Time bar (total: 21.9s)

sample32.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
6.0ms239×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite8.0ms

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×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
8.0ms
(* x (log x))

series249.0ms

Counts
1 → 3
Calls
1 calls:
249.0ms
(* x (log x))

simplify1.7s

Counts
30 → 30
Iterations
IterNodes
done5001
31676
2293
1109
055

prune133.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite80.0ms

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*
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out pow1/3 distribute-lft-out
2×associate-+l+ flip3-+ associate-*r/ log-pow flip-+
1×+-commutative sum-log fma-def distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
45.0ms
(* (log (cbrt x)) (+ x x))
28.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
471.0ms
(* (log (cbrt x)) (+ x x))
469.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
602.0ms
(cbrt x)
264.0ms
(cbrt x)

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5002
21678
1368
0139

prune449.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
0.3b
(* x (log (cbrt x)))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod log-prod *-un-lft-identity add-cube-cbrt
7×pow1
6×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
14.0ms
(* x (log (cbrt x)))
4.0ms
(cbrt x)
1.0ms
(cbrt x)

series2.0s

Counts
4 → 12
Calls
4 calls:
1.0s
(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
501.0ms
(* x (log (cbrt x)))
223.0ms
(cbrt x)
265.0ms
(cbrt x)

simplify3.0s

Counts
82 → 82
Iterations
IterNodes
done5000
34295
2632
1200
098

prune414.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
29.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.6s

Counts
4 → 12
Calls
4 calls:
414.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
432.0ms
(cbrt (cbrt x))
409.0ms
(cbrt (cbrt x))
362.0ms
(cbrt (cbrt x))

simplify6.8s

Counts
116 → 116
Iterations
IterNodes
done5001
34510
2652
1174
086

prune784.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample694.0ms

Algorithm
intervals
Results
224.0ms8041×body80valid
179.0ms8131×body80nan