Details

Time bar (total: 12.5s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms256×pre80true

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5001
82438
71183
6419
5157
480
343
226
113
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
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 → 37
Calls
2 calls:
23.0ms
(+ (* x (* x x)) (* x x))
24.0ms
(* x (* x x))

series123.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(+ (* x (* x x)) (* x x))
42.0ms
(* x (* x x))

simplify2.0s

Counts
43 → 43
Iterations
IterNodes
done5004
32072
2458
1152
057

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
28.0ms
(* x (+ (* x x) x))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* x (+ (* x x) x))

simplify1.5s

Counts
27 → 27
Iterations
IterNodes
done5000
2741
1158
044

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(* x (* x x))
28.3b
(sqrt (+ (* x (* x x)) (* x x)))
28.3b
(sqrt (+ (* x (* x x)) (* x x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
10×pow-prod-up sqrt-prod
8×*-un-lft-identity add-cube-cbrt
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×sqrt-div add-log-exp
2×pow2 rem-sqrt-square distribute-lft1-in sqrt-pow1 flip3-+ pow-plus pow1/2 cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 82
Calls
4 calls:
22.0ms
(* x (* x x))
16.0ms
(* x (* x x))
25.0ms
(sqrt (+ (* x (* x x)) (* x x)))
26.0ms
(sqrt (+ (* x (* x x)) (* x x)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* x (* x x))
65.0ms
(* x (* x x))
39.0ms
(sqrt (+ (* x (* x x)) (* x x)))
50.0ms
(sqrt (+ (* x (* x x)) (* x x)))

simplify1.5s

Counts
94 → 94
Iterations
IterNodes
done5004
31657
2441
1180
083

prune298.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x))))
29.3b
(cbrt (* x (+ (* x x) x)))
29.3b
(cbrt (* x (+ (* x x) x)))
29.3b
(cbrt (* x (+ (* x x) x)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
44.0ms
(* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x))))
12.0ms
(cbrt (* x (+ (* x x) x)))
11.0ms
(cbrt (* x (+ (* x x) x)))
9.0ms
(cbrt (* x (+ (* x x) x)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x))))
75.0ms
(cbrt (* x (+ (* x x) x)))
76.0ms
(cbrt (* x (+ (* x x) x)))
66.0ms
(cbrt (* x (+ (* x x) x)))

simplify2.0s

Counts
84 → 84
Iterations
IterNodes
done5001
32467
2857
1316
0121

prune352.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample580.0ms

Algorithm
intervals
Results
319.0ms8000×body80valid
107.0ms8000×pre80true