Details

Time bar (total: 21.9s)

sample153.0ms

Algorithm
intervals
Results
18.0ms390×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0811
11511
2389
3819
41029
51459
62819
77399
824369
done50009

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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)))
58.0ms
(* 0.12900613773279798 (* (* x x) x))
26.0ms
(* (* x x) x)

series248.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
58.0ms
(* 0.12900613773279798 (* (* x x) x))
48.0ms
(* (* x x) x)

simplify3.3s

Counts
70 → 70
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
080698
1191506
2676427
33122425
done5000425

prune151.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- distribute-rgt-out-- diff-log flip-- unswap-sqr
Counts
3 → 53
Calls
3 calls:
16.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
75.0ms
(* (* 0.12900613773279798 (* x x)) x)
28.0ms
(* 0.12900613773279798 (* x x))

series263.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
50.0ms
(* (* 0.12900613773279798 (* x x)) x)
42.0ms
(* 0.12900613773279798 (* x x))

simplify4.2s

Counts
62 → 62
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
082675
1210547
2822471
33551471
done5000471

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

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-- distribute-rgt-out-- diff-log flip--
Counts
3 → 52
Calls
3 calls:
9.0ms
(- (* 0.954929658551372 x) (* (* (* x 0.12900613773279798) x) x))
64.0ms
(* (* (* x 0.12900613773279798) x) x)
26.0ms
(* (* x 0.12900613773279798) x)

series250.0ms

Counts
3 → 9
Calls
3 calls:
154.0ms
(- (* 0.954929658551372 x) (* (* (* x 0.12900613773279798) x) x))
52.0ms
(* (* (* x 0.12900613773279798) x) x)
43.0ms
(* (* x 0.12900613773279798) x)

simplify4.4s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
081668
1223584
2829468
33224464
done5001464

prune98.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)
0.1b
(* 0.12900613773279798 (pow x 2))
0.4b
(* (* 0.954929658551372 x) (* 0.954929658551372 x))
27.2b
(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)) (* (+ 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
36×add-exp-log
28×add-cbrt-cube
19×prod-exp
18×pow-prod-down
16×add-sqr-sqrt
13×cbrt-unprod
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×unpow-prod-down pow-sqr pow-prod-up add-log-exp unswap-sqr
3×times-frac *-commutative associate-/l*
2×cbrt-undiv pow-to-exp pow-plus div-exp associate-*l/ pow-exp associate-/r/ associate-/l/ unpow2 sqr-pow
1×pow2 flip3-- frac-2neg flip3-+ div-sub swap-sqr clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 106
Calls
4 calls:
44.0ms
(* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)
23.0ms
(* 0.12900613773279798 (pow x 2))
54.0ms
(* (* 0.954929658551372 x) (* 0.954929658551372 x))
113.0ms
(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)) (* (+ 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x))

series538.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)
49.0ms
(* 0.12900613773279798 (pow x 2))
37.0ms
(* (* 0.954929658551372 x) (* 0.954929658551372 x))
370.0ms
(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* (pow x 6) 0.12900613773279798) 0.12900613773279798)) (* (+ 0.954929658551372 (* 0.12900613773279798 (pow x 2))) x))

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01781712
14911579
219871308
done50011290

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample617.0ms

Algorithm
intervals
Results
369.0ms12097×body80valid