Details

Time bar (total: 18.5s)

sample25.0ms

Algorithm
intervals
Results
6.0ms257×body80valid
5.0ms312×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite19.0ms

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:
11.0ms
(* x (log x))

series303.0ms

Counts
1 → 3
Calls
1 calls:
303.0ms
(* x (log x))

simplify2.8s

Counts
30 → 30
Iterations
IterNodes
done5000
42628
3574
2219
1101
055

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt x)) (+ x x))
0.3b
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite64.0ms

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:
40.0ms
(* (log (cbrt x)) (+ x x))
19.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
452.0ms
(* (log (cbrt x)) (+ x x))
428.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
252.0ms
(cbrt x)
294.0ms
(cbrt x)

simplify3.4s

Counts
101 → 101
Iterations
IterNodes
done5000
34796
21262
1366
0139

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
0.2b
(* x (log (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

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))))
10.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.9s

Counts
4 → 12
Calls
4 calls:
926.0ms
(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
476.0ms
(* x (log (cbrt x)))
269.0ms
(cbrt x)
263.0ms
(cbrt x)

simplify1.6s

Counts
82 → 82
Iterations
IterNodes
done5002
31684
2482
1189
098

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.7s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt x)
263.0ms
(cbrt x)
265.0ms
(cbrt x)
816.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify2.7s

Counts
62 → 62
Iterations
IterNodes
done5000
53882
41157
3425
2195
188
046

prune489.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample856.0ms

Algorithm
intervals
Results
245.0ms8034×body80valid
223.0ms8039×body80nan