Details

Time bar (total: 33.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms375×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5001
111127
10442
9263
8200
7171
6154
5144
4137
388
234
113
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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:
48.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify7.4s

Counts
37 → 37
Iterations
IterNodes
done5000
33955
2829
1226
078

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite120.0ms

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:
46.0ms
(* x (- 3.0 (* x 2.0)))
67.0ms
(* x (* x (- 3.0 (* x 2.0))))

series242.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(* x (- 3.0 (* x 2.0)))
111.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify2.7s

Counts
82 → 82
Iterations
IterNodes
done5004
21005
1303
0119

prune642.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
0.2b
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
50×pow1
42×associate-*r/
35×flip3-- flip--
34×add-exp-log
32×frac-times
27×pow-prod-down
21×add-cbrt-cube prod-exp cbrt-unprod
16×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×expm1-log1p-u pow-plus pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
2×pow2 pow1/3 associate-*l* pow-sqr *-commutative
1×unswap-sqr
Counts
4 → 131
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
74.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
369.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series844.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (- 3.0 (* x 2.0)))
219.0ms
(cbrt (- 3.0 (* x 2.0)))
295.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
124.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify4.6s

Counts
143 → 143
Iterations
IterNodes
done5002
22624
1741
0267

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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:
66.0ms
(* (* x x) (- 3.0 (* 2.0 x)))

series128.0ms

Counts
1 → 3
Calls
1 calls:
128.0ms
(* (* x x) (- 3.0 (* 2.0 x)))

simplify7.0s

Counts
37 → 37
Iterations
IterNodes
done5000
33866
2837
1226
078

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes272.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
920.0ms12013×body80valid