Details

Time bar (total: 45.5s)

sample54.0ms

Algorithm
intervals
Results
28.0ms367×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
111138
10457
9235
8169
7141
6124
5116
4109
380
234
113
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 1 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative insert-posit16 flip-- add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
72.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify7.3s

Counts
29 → 29
Iterations
IterNodes
done5001
33309
2674
1184
058

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

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))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative insert-posit16 flip-- add-log-exp
1×unswap-sqr
Counts
2 → 54
Calls
2 calls:
48.0ms
(* x (- 3.0 (* x 2.0)))
100.0ms
(* x (* x (- 3.0 (* x 2.0))))

series221.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* x (- 3.0 (* x 2.0)))
104.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify10.0s

Counts
60 → 60
Iterations
IterNodes
done5000
34649
2785
1218
081

prune528.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 (* x 2.0)) x)
0.2b
(* x (/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0))))
0.2b
(* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x))
0.3b
(/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0)))

rewrite495.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
18×associate-*l/
16×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 associate-*r*
12×*-un-lft-identity add-cube-cbrt
9×flip3-+ associate-*l* flip-+
8×frac-times associate-/l/
6×cbrt-undiv times-frac flip3-- div-exp flip--
5×pow-prod-down associate-*r/
4×associate-/r/ insert-posit16 add-log-exp
3×associate-/r* *-commutative
2×div-inv unswap-sqr
1×clear-num frac-2neg associate-/l*
Counts
4 → 114
Calls
4 calls:
35.0ms
(* (+ 3.0 (* x 2.0)) x)
176.0ms
(* x (/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0))))
110.0ms
(* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x))
158.0ms
(/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (+ 3.0 (* x 2.0)) x)
112.0ms
(* x (/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0))))
251.0ms
(* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x))
116.0ms
(/ (* (- 3.0 (* x 2.0)) (* (+ 3.0 (* x 2.0)) x)) (+ 3.0 (* x 2.0)))

simplify6.2s

Counts
126 → 126
Iterations
IterNodes
done5040
23079
1526
0164

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize180.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))
0.2b
(* x (* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))))
0.4b
(* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0)))))
0.4b
(/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))

rewrite969.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
66×add-cbrt-cube
42×prod-exp cbrt-unprod
34×add-sqr-sqrt
28×cbrt-div
26×cbrt-undiv div-exp
25×cbrt-prod
24×associate-*l*
22×*-un-lft-identity add-cube-cbrt
19×associate-*r*
18×pow1
16×times-frac
15×flip3-+ flip-+
12×associate-/r/
10×frac-times
9×associate-*r/
8×associate-*l/
6×associate-/r* pow1/3 swap-sqr pow-prod-down unswap-sqr
4×insert-posit16 add-log-exp
3×*-commutative div-inv
2×pow-sqr pow-prod-up associate-/l/
1×pow2 clear-num frac-2neg pow-plus associate-/l*
Counts
4 → 179
Calls
4 calls:
80.0ms
(* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))
485.0ms
(* x (* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))))
334.0ms
(* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0)))))
53.0ms
(/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))

series859.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))
163.0ms
(* x (* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))))
111.0ms
(* (/ (- 3.0 (* x 2.0)) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))) (/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0)))))
378.0ms
(/ (* (+ 3.0 (* x 2.0)) x) (cbrt (+ 3.0 (* x 2.0))))

simplify7.9s

Counts
191 → 191
Iterations
IterNodes
done5022
23794
1947
0322

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample1.2s

Algorithm
intervals
Results
868.0ms12129×body80valid