Details

Time bar (total: 8.1s)

sample21.0ms

Algorithm
intervals
Results
12.0ms391×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0811
11511
2379
3779
41129
51689
63489
78939
826589
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

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))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip-- unswap-sqr
1×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))

simplify836.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (221.0ms)

IterNodesCost
085673
1209652
2650572
32230566
done5001566

prune83.0ms

Filtered
43 candidates to 64 candidates (-48.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60464
Fresh101
Picked011
Done000
Total61566

Merged error: 0b

Counts
66 → 5

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)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip--
1×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)))
7.0ms
(* (* 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)))
3.0ms
(* (* 0.12900613773279798 x) x)

simplify1.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (317.0ms)

IterNodesCost
084668
1218647
2802566
33109560
done5000560

prune71.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0b

Counts
68 → 5

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity add-log-exp
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 sum-log sqr-pow
1×+-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))))
7.0ms
(* 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))

simplify2.6s

Counts
52 → 52
Iterations

Useful iterations: 3 (457.0ms)

IterNodesCost
082507
1225454
2901407
34951403
done5000403

prune75.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh202
Picked011
Done112
Total53457

Merged error: 0b

Counts
57 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.954929658551372 x) (neg (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
0.1b
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b
(* 0.12900613773279798 (* x x))
28.1b
(cbrt (pow x 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
18×pow1 add-exp-log
16×associate-*r*
15×add-cbrt-cube
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
6×unpow-prod-down cube-prod
4×associate-*l*
2×cube-mult unpow3 sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 associate-+r- flip3-+ pow1/3 unsub-neg neg-log rem-cbrt-cube flip-+ unswap-sqr
Counts
4 → 88
Calls
4 calls:
5.0ms
(+ (* 0.954929658551372 x) (neg (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
15.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
6.0ms
(* 0.12900613773279798 (* x x))
3.0ms
(cbrt (pow x 3))

series25.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* 0.954929658551372 x) (neg (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
6.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
3.0ms
(* 0.12900613773279798 (* x x))
3.0ms
(cbrt (pow x 3))

simplify603.0ms

Counts
100 → 100
Iterations

Useful iterations: done (600.0ms)

IterNodesCost
01301117
1372858
21608675
done5000674

prune116.0ms

Filtered
64 candidates to 100 candidates (-56.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done022
Total1004104

Merged error: 0b

Counts
104 → 4

regimes30.0ms

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
199
done99

end0.0ms

sample597.0ms

Algorithm
intervals
Results
389.0ms12008×body80valid

Profiling

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