Details

Time bar (total: 10.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms372×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0811
11511
2389
3819
41029
51459
62819
77399
824369
done50009

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp unswap-sqr
flip3-- flip--
Counts
2 → 43
Calls
2 calls:
18.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
16.0ms
(* 0.12900613773279798 (* x x))

series121.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms
(* 0.12900613773279798 (* x x))

simplify1.2s

Counts
49 → 49
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
077495
1181467
2533411
32062411
done5000411

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 sqr-pow
cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 43
Calls
2 calls:
8.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
12.0ms
(* 0.12900613773279798 (pow x 3))

series141.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
42.0ms
(* 0.12900613773279798 (pow x 3))

simplify1.7s

Counts
49 → 49
Iterations

Useful iterations: 3 (479.0ms)

IterNodesCost
075483
1181433
2565401
32976399
done5001399

prune81.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity
associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
flip3-- flip-- unswap-sqr
Counts
2 → 42
Calls
2 calls:
16.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
19.0ms
(* (* 0.12900613773279798 x) x)

series120.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
25.0ms
(* (* 0.12900613773279798 x) x)

simplify1.6s

Counts
48 → 48
Iterations

Useful iterations: 3 (625.0ms)

IterNodesCost
076490
1187464
2649406
32499404
done5000404

prune67.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b
(* 0.12900613773279798 (* x x))
30.6b
(cbrt (pow x 3))

rewrite80.0ms

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
pow-prod-down prod-exp cbrt-unprod
unpow-prod-down cube-prod add-log-exp
associate-*l*
cube-mult unpow3 *-commutative sqr-pow
sub-neg flip3-- pow1/3 diff-log flip-- rem-cbrt-cube unswap-sqr
Counts
4 → 85
Calls
4 calls:
7.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
53.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
15.0ms
(* 0.12900613773279798 (* x x))
2.0ms
(cbrt (pow x 3))

series201.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
48.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
28.0ms
(* 0.12900613773279798 (* x x))
16.0ms
(cbrt (pow x 3))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
01241098
1288731
21131645
done5000645

prune168.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
1159
done159

end0.0ms

sample424.0ms

Algorithm
intervals
Results
246.0ms11928×body80valid