Details

Time bar (total: 22.6s)

sample85.0ms

Algorithm
intervals
Results
13.0ms374×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0811
11511
2389
3819
41029
51459
62819
77399
824369
done50009

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite126.0ms

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:
9.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
30.0ms
(* (* x x) x)
84.0ms
(* 0.12900613773279798 (* (* x x) x))

series227.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
55.0ms
(* (* x x) x)
53.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify3.4s

Counts
70 → 70
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
080698
1192506
2672427
33173425
done5000425

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite69.0ms

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:
6.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
27.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
34.0ms
(* 0.12900613773279798 (* x x))

series278.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
158.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
33.0ms
(* 0.12900613773279798 (* x x))

simplify1.8s

Counts
64 → 64
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
085673
1197636
2577564
32178564
done5000564

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt x) (cbrt x))
264.0ms
(cbrt x)
337.0ms
(cbrt x)
262.0ms
(cbrt x)

simplify5.2s

Counts
85 → 85
Iterations

Useful iterations: done (5.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
0.1b
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
25.4b
(sqrt (pow x 3))
25.4b
(sqrt (pow x 3))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
82×add-sqr-sqrt
36×unpow-prod-down cube-prod
31×add-cube-cbrt *-un-lft-identity
26×unswap-sqr
23×swap-sqr
18×associate-*l* sqr-pow
16×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
8×rem-sqrt-square sqrt-pow1 pow1/2
6×cube-mult unpow3 pow-prod-down
4×prod-exp cbrt-unprod add-log-exp
3×pow-sqr pow-prod-up
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 170
Calls
4 calls:
78.0ms
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
63.0ms
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
4.0ms
(sqrt (pow x 3))
4.0ms
(sqrt (pow x 3))

series200.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
58.0ms
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
38.0ms
(sqrt (pow x 3))
35.0ms
(sqrt (pow x 3))

simplify1.7s

Counts
182 → 182
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01372341
12711342
28751282
done50011264

prune431.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample1.1s

Algorithm
intervals
Results
747.0ms12090×body80valid