Details

Time bar (total: 14.2s)

sample24.0ms

Algorithm
intervals
Results
6.0ms258×body80valid
5.0ms292×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

localize5.0ms

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:
7.0ms
(* x (log x))

series227.0ms

Counts
1 → 3
Calls
1 calls:
227.0ms
(* x (log x))

simplify1.2s

Counts
30 → 30
Iterations
IterNodes
done5001
31676
2293
1109
055

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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

rewrite58.0ms

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:
30.0ms
(* (log (cbrt x)) (+ x x))
22.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.7s

Counts
4 → 12
Calls
4 calls:
433.0ms
(* (log (cbrt x)) (+ x x))
467.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
557.0ms
(cbrt x)
234.0ms
(cbrt x)

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5002
21678
1368
0139

prune424.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt x)) (+ x x))
0.3b
(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow (/ 1 x) -1/3))))
0.6b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
37×add-sqr-sqrt *-un-lft-identity
35×add-cube-cbrt
34×associate-+r+ log-prod
27×times-frac
19×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×add-exp-log
9×pow1
6×add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u pow-exp log1p-expm1-u
3×cbrt-prod pow-unpow pow-pow distribute-rgt-out div-inv distribute-lft-out sqr-pow
2×associate-+l+ flip3-+ pow1/3 div-exp associate-*r/ log-pow flip-+
1×pow-to-exp +-commutative rec-exp sum-log fma-def distribute-lft1-in count-2 1-exp pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
Counts
4 → 132
Calls
4 calls:
22.0ms
(* (log (cbrt x)) (+ x x))
24.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow (/ 1 x) -1/3))))
1.0ms
(cbrt x)
5.0ms
(pow (/ 1 x) -1/3)

series1.9s

Counts
4 → 12
Calls
4 calls:
468.0ms
(* (log (cbrt x)) (+ x x))
961.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (pow (/ 1 x) -1/3))))
270.0ms
(cbrt x)
216.0ms
(pow (/ 1 x) -1/3)

simplify1.2s

Counts
144 → 144
Iterations
IterNodes
done5001
22687
1734
0269

prune697.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt (sqrt x))))
0.4b
(* 2/3 (log x))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod add-sqr-sqrt log-prod
20×*-un-lft-identity add-cube-cbrt
12×distribute-rgt-in distribute-lft-in sqrt-prod
10×pow1
9×associate-*r*
8×add-cbrt-cube add-exp-log
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 log-pow
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 99
Calls
4 calls:
21.0ms
(* x (log (cbrt (sqrt x))))
13.0ms
(* 2/3 (log x))
2.0ms
(cbrt (sqrt x))
3.0ms
(cbrt (sqrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
416.0ms
(* x (log (cbrt (sqrt x))))
208.0ms
(* 2/3 (log x))
216.0ms
(cbrt (sqrt x))
222.0ms
(cbrt (sqrt x))

simplify2.2s

Counts
111 → 111
Iterations
IterNodes
done5000
34602
2912
1326
0163

prune598.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.3b 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

sample1.0s

Algorithm
intervals
Results
348.0ms8038×body80valid
209.0ms8176×body80nan