Details

Time bar (total: 16.5s)

sample17.0ms

Algorithm
intervals
Results
9.0ms398×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0811
11511
2379
3769
41079
51479
62689
76689
821959
done50009

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- diff-log pow3 flip-- unswap-sqr
Counts
3 → 61
Calls
3 calls:
3.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms
(* (* x x) x)
21.0ms
(* 0.12900613773279798 (* (* x x) x))

series173.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms
(* (* x x) x)
42.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify2.2s

Counts
70 → 70
Iterations

Useful iterations: 3 (670.0ms)

IterNodesCost
080698
1205506
2696427
32993425
done5001425

prune95.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 1 (* 0.12900613773279798 (pow x 3))))
0.1b
(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 43
Calls
2 calls:
3.0ms
(- (* 0.954929658551372 x) (* 1 (* 0.12900613773279798 (pow x 3))))
7.0ms
(* 0.12900613773279798 (pow x 3))

series136.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(- (* 0.954929658551372 x) (* 1 (* 0.12900613773279798 (pow x 3))))
38.0ms
(* 0.12900613773279798 (pow x 3))

simplify2.4s

Counts
49 → 49
Iterations

Useful iterations: 3 (784.0ms)

IterNodesCost
079523
1200433
2614401
33252399
done5000399

prune88.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
0.1b
(* (* (* 0.12900613773279798 x) x) x)
0.2b
(* (* 0.12900613773279798 x) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*l* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
3.0ms
(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
21.0ms
(* (* (* 0.12900613773279798 x) x) x)
6.0ms
(* (* 0.12900613773279798 x) x)

series157.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
38.0ms
(* (* (* 0.12900613773279798 x) x) x)
25.0ms
(* (* 0.12900613773279798 x) x)

simplify3.7s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
082701
1237607
2956461
34663457
done5000457

prune107.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 1 (* (* 0.12900613773279798 x) (* x x))))
0.2b
(* (* 0.12900613773279798 x) (* x x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
3.0ms
(- (* 0.954929658551372 x) (* 1 (* (* 0.12900613773279798 x) (* x x))))
11.0ms
(* (* 0.12900613773279798 x) (* x x))

series139.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(- (* 0.954929658551372 x) (* 1 (* (* 0.12900613773279798 x) (* x x))))
41.0ms
(* (* 0.12900613773279798 x) (* x x))

simplify3.2s

Counts
40 → 40
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
067565
1202402
2777336
33778334
done5000334

prune58.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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: 1 (1.0ms)

IterNodesCost
01011
1159
done159

end0.0ms

sample417.0ms

Algorithm
intervals
Results
278.0ms12111×body80valid