Details

Time bar (total: 13.3s)

sample143.0ms

Algorithm
intervals
Results
21.0ms374×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
71253
6490
5250
4147
382
238
115
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
associate-*l*
*-un-lft-identity add-cube-cbrt
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:
19.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
22.0ms
(* 0.12900613773279798 (* x x))

series202.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
46.0ms
(* 0.12900613773279798 (* x x))

simplify994.0ms

Counts
49 → 49
Iterations
IterNodes
done5002
21431
1227
077

prune218.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r*
12×distribute-lft-neg-in add-sqr-sqrt distribute-rgt-neg-in
10×*-un-lft-identity add-cube-cbrt
unpow-prod-down cube-prod
pow1 add-cbrt-cube add-exp-log add-log-exp
associate-*l* distribute-rgt-neg-out
cube-mult unpow3 sqr-pow
+-commutative neg-mul-1 sum-log flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ (* 0.954929658551372 x) (* 0.12900613773279798 (- (pow x 3))))
24.0ms
(* 0.12900613773279798 (- (pow x 3)))

series229.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(+ (* 0.954929658551372 x) (* 0.12900613773279798 (- (pow x 3))))
69.0ms
(* 0.12900613773279798 (- (pow x 3)))

simplify611.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
21174
1278
099

prune265.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))
30.0b
(cbrt (pow x 3))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
25×associate-*r*
24×cbrt-prod
18×pow1 add-exp-log
15×add-cbrt-cube
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
unpow-prod-down cube-prod add-log-exp
distribute-rgt-neg-out
distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
cube-mult unpow3 associate-*l* *-commutative sqr-pow
+-commutative neg-mul-1 sum-log flip3-+ pow1/3 unsub-neg rem-cbrt-cube flip-+
Counts
4 → 94
Calls
4 calls:
14.0ms
(+ (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) (- x)) (cbrt (pow x 3))))
107.0ms
(* (* (* 0.12900613773279798 x) (- x)) (cbrt (pow x 3)))
17.0ms
(* (* 0.12900613773279798 x) (- x))
2.0ms
(cbrt (pow x 3))

series333.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(+ (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) (- x)) (cbrt (pow x 3))))
76.0ms
(* (* (* 0.12900613773279798 x) (- x)) (cbrt (pow x 3)))
53.0ms
(* (* 0.12900613773279798 x) (- x))
31.0ms
(cbrt (pow x 3))

simplify3.3s

Counts
106 → 106
Iterations
IterNodes
done5001
23569
1438
0140

prune512.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
16×associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity distribute-rgt-neg-out add-cube-cbrt
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
distribute-lft-neg-out
neg-mul-1 associate-*l* unsub-neg *-commutative
+-commutative sum-log flip3-+ flip-+
Counts
3 → 67
Calls
3 calls:
9.0ms
(+ (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) (- x)) (- (* x (cbrt -1)))))
57.0ms
(* (* (* 0.12900613773279798 x) (- x)) (- (* x (cbrt -1))))
17.0ms
(* (* 0.12900613773279798 x) (- x))

series365.0ms

Counts
3 → 9
Calls
3 calls:
226.0ms
(+ (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) (- x)) (- (* x (cbrt -1)))))
103.0ms
(* (* (* 0.12900613773279798 x) (- x)) (- (* x (cbrt -1))))
36.0ms
(* (* 0.12900613773279798 x) (- x))

simplify2.3s

Counts
76 → 76
Iterations
IterNodes
done5000
22781
1362
0114

prune335.0ms

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

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
968.0ms11969×body80valid