Details

Time bar (total: 6.2s)

sample22.0ms

Algorithm
intervals
Results
12.0ms391×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0811
11511
2379
3779
41129
51579
62859
77039
823169
done50009

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l*
add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip-- unswap-sqr
diff-log
Counts
3 → 55
Calls
3 calls:
3.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
6.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms
(* 0.12900613773279798 (* x x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
9.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
4.0ms
(* 0.12900613773279798 (* x x))

simplify738.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
085673
1209636
2685564
32321564
done5001564

prune80.0ms

Filtered
38 candidates to 64 candidates (-68.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New59564
Fresh011
Picked101
Done000
Total60666

Merged error: 0b

Counts
66 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b
(* (* 0.12900613773279798 x) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
sub-neg
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip--
diff-log unswap-sqr
Counts
3 → 54
Calls
3 calls:
3.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
6.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
8.0ms
(* (* 0.12900613773279798 x) x)

series19.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
9.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
4.0ms
(* (* 0.12900613773279798 x) x)

simplify914.0ms

Counts
63 → 63
Iterations

Useful iterations: 3 (306.0ms)

IterNodesCost
084668
1218635
2824561
33153557
done5000557

prune71.0ms

Filtered
38 candidates to 63 candidates (-65.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh055
Picked011
Done000
Total63669

Merged error: 0b

Counts
69 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
20.8b
(cbrt (* 0.12900613773279798 (* x x)))
20.8b
(cbrt (* 0.12900613773279798 (* x x)))
20.8b
(cbrt (* 0.12900613773279798 (* x x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
5.0ms
(cbrt (* 0.12900613773279798 (* x x)))
5.0ms
(cbrt (* 0.12900613773279798 (* x x)))
5.0ms
(cbrt (* 0.12900613773279798 (* x x)))

series125.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (cbrt (* 0.12900613773279798 (* x x))) (cbrt (* 0.12900613773279798 (* x x))))
29.0ms
(cbrt (* 0.12900613773279798 (* x x)))
32.0ms
(cbrt (* 0.12900613773279798 (* x x)))
31.0ms
(cbrt (* 0.12900613773279798 (* x x)))

simplify1.1s

Counts
70 → 70
Iterations

Useful iterations: 4 (443.0ms)

IterNodesCost
081852
1172760
2470642
31539534
44035509
done5000509

prune143.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done011
Total70676

Merged error: 0b

Counts
76 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.954929658551372 x) (neg (* 0.12900613773279798 (pow x 3))))
0.5b
(* 0.12900613773279798 (pow x 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
associate-*l* prod-exp
pow1 sum-log sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 46
Calls
2 calls:
5.0ms
(+ (* 0.954929658551372 x) (neg (* 0.12900613773279798 (pow x 3))))
10.0ms
(* 0.12900613773279798 (pow x 3))

series14.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* 0.954929658551372 x) (neg (* 0.12900613773279798 (pow x 3))))
4.0ms
(* 0.12900613773279798 (pow x 3))

simplify440.0ms

Counts
52 → 52
Iterations

Useful iterations: done (438.0ms)

IterNodesCost
082507
1225444
2863404
done5001400

prune66.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New50252
Fresh213
Picked011
Done022
Total52658

Merged error: 0b

Counts
58 → 6

regimes75.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample604.0ms

Algorithm
intervals
Results
387.0ms12008×body80valid

Profiling

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