Details

Time bar (total: 9.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2004
82004
71183
6419
5157
480
343
226
113
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×pow2 +-commutative sum-log distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 39
Calls
2 calls:
20.0ms
(+ (* x (* x x)) (* x x))
13.0ms
(* x (* x x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(+ (* x (* x x)) (* x x))
45.0ms
(* x (* x x))

simplify983.0ms

Counts
45 → 45
Iterations
IterNodes
done2031
32031
2508
1155
059

prune252.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in distribute-lft1-in flip3-+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
27.0ms
(* x (+ (* x x) x))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(* x (+ (* x x) x))

simplify879.0ms

Counts
28 → 28
Iterations
IterNodes
done2007
32007
2741
1159
045

prune181.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt x) (* (sqrt x) (+ (* x x) x)))
0.2b
(* (sqrt x) (+ (* x x) x))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
8×*-un-lft-identity
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ insert-posit16 add-log-exp unswap-sqr
1×distribute-lft1-in distribute-rgt-out
Counts
2 → 57
Calls
2 calls:
51.0ms
(* (sqrt x) (* (sqrt x) (+ (* x x) x)))
35.0ms
(* (sqrt x) (+ (* x x) x))

series161.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (sqrt x) (* (sqrt x) (+ (* x x) x)))
101.0ms
(* (sqrt x) (+ (* x x) x))

simplify1.2s

Counts
63 → 63
Iterations
IterNodes
done2000
32000
21542
1325
096

prune321.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.2b
(* (sqrt x) (+ (* x x) x))
0.2b
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x))))
0.2b
(* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
24×associate-*l*
22×pow1
21×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
17×distribute-rgt-in distribute-lft-in
16×*-un-lft-identity
15×add-cube-cbrt
12×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×sqrt-pow1 insert-posit16 add-log-exp
3×flip3-+ *-commutative flip-+
2×rem-sqrt-square pow1/2 unswap-sqr
1×distribute-lft1-in distribute-rgt-out
Counts
4 → 118
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
26.0ms
(* (sqrt x) (+ (* x x) x))
125.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x))))
47.0ms
(* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(sqrt (sqrt x))
91.0ms
(* (sqrt x) (+ (* x x) x))
77.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x))))
479.0ms
(* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x)))

simplify896.0ms

Counts
130 → 130
Iterations
IterNodes
done2001
22001
1565
0196

prune970.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample781.0ms

Algorithm
intervals
Results
445.0ms8000×body80valid
218.0ms8000×pre80true