Details

Time bar (total: 19.5s)

sample27.0ms

Algorithm
intervals
Results
18.0ms378×body80valid

simplify6.5s

Counts
1 → 1
Iterations
IterNodes
done5000
114991
101310
9496
8291
7200
6167
5148
4139
389
235
113
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube prod-diff add-exp-log
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
27.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series131.0ms

Counts
1 → 3
Calls
1 calls:
131.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify3.0s

Counts
37 → 37
Iterations
IterNodes
done5000
34402
2885
1229
078

prune141.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log
6×sub-neg associate-*l* associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 76
Calls
2 calls:
28.0ms
(* x (- 3.0 (* x 2.0)))
38.0ms
(* x (* x (- 3.0 (* x 2.0))))

series233.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(* x (- 3.0 (* x 2.0)))
119.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.4s

Counts
82 → 82
Iterations
IterNodes
done5003
21118
1310
0119

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
0.1b
(* (* x x) (- (* x 2.0)))
0.2b
(* (* x x) 3.0)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
9×associate-*r*
7×add-sqr-sqrt
6×pow-prod-down prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt add-log-exp
3×expm1-log1p-u distribute-rgt-neg-out insert-posit16 log1p-expm1-u
2×associate-*l* *-commutative unswap-sqr
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ unsub-neg flip-+ distribute-lft-out
Counts
3 → 66
Calls
3 calls:
20.0ms
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
27.0ms
(* (* x x) (- (* x 2.0)))
15.0ms
(* (* x x) 3.0)

series211.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
44.0ms
(* (* x x) (- (* x 2.0)))
30.0ms
(* (* x x) 3.0)

simplify1.5s

Counts
75 → 75
Iterations
IterNodes
done5002
21222
1291
0100

prune204.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x 2.0))) (cbrt (- (* x 2.0))))
0.7b
(cbrt (- (* x 2.0)))
0.7b
(cbrt (- (* x 2.0)))
0.7b
(cbrt (- (* x 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
19.0ms
(* (cbrt (- (* x 2.0))) (cbrt (- (* x 2.0))))
3.0ms
(cbrt (- (* x 2.0)))
3.0ms
(cbrt (- (* x 2.0)))
3.0ms
(cbrt (- (* x 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
364.0ms
(* (cbrt (- (* x 2.0))) (cbrt (- (* x 2.0))))
259.0ms
(cbrt (- (* x 2.0)))
324.0ms
(cbrt (- (* x 2.0)))
262.0ms
(cbrt (- (* x 2.0)))

simplify2.7s

Counts
115 → 115
Iterations
IterNodes
done5002
43678
31234
2491
1175
087

prune425.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s12046×body80valid