Details

Time bar (total: 1.3m)

sample75.0ms

Algorithm
intervals
Results
23.0ms391×body80valid

simplify9.7s

Counts
1 → 1
Iterations
IterNodes
done5001
111132
10419
9227
8169
7141
6124
5116
4111
380
234
113
07

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 1 expressions with local error:

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

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
299.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series619.0ms

Counts
1 → 3
Calls
1 calls:
618.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify7.8s

Counts
28 → 28
Iterations
IterNodes
done5000
33032
2633
1170
057

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
37.0ms
(* x (- 3.0 (* x 2.0)))
64.0ms
(* x (* x (- 3.0 (* x 2.0))))

series258.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(* x (- 3.0 (* x 2.0)))
127.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify9.6s

Counts
58 → 58
Iterations
IterNodes
done5010
34644
2842
1228
079

prune460.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite663.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
57×pow1
44×associate-*r/
40×flip3-- flip--
36×add-exp-log frac-times
29×pow-prod-down
23×add-sqr-sqrt
22×cbrt-prod prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
15×add-cube-cbrt *-un-lft-identity
13×associate-*r*
8×associate-*l*
7×pow1/3
6×swap-sqr pow-prod-up
5×pow-plus unswap-sqr
4×pow-sqr add-log-exp
3×pow2 *-commutative
Counts
4 → 154
Calls
4 calls:
7.0ms
(cbrt (- 3.0 (* x 2.0)))
68.0ms
(* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))
129.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
440.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt (- 3.0 (* x 2.0)))
282.0ms
(* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))
793.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
148.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify8.0s

Counts
166 → 166
Iterations
IterNodes
done5001
22756
1885
0308

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))))
0.2b
(* (* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))))) (cbrt (- 3.0 (* x 2.0))))
0.8b
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)))))
0.8b
(cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))

rewrite8.8s

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
31×add-cbrt-cube
30×prod-exp cbrt-unprod
25×associate-*r*
23×add-sqr-sqrt
21×cbrt-prod
20×pow1 cbrt-div
14×add-cube-cbrt *-un-lft-identity
11×pow-prod-down
9×flip3-- flip--
8×cbrt-undiv associate-*r/ div-exp associate-*l*
6×frac-times times-frac
5×unswap-sqr
4×pow3 add-log-exp
3×pow1/3 associate-*l/ *-commutative
2×difference-cubes associate-/r/
1×flip3-+ flip-+ div-inv
Counts
4 → 125
Calls
4 calls:
1.8s
(* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))))
5.1s
(* (* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))))) (cbrt (- 3.0 (* x 2.0))))
1.4s
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)))))
392.0ms
(cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))

series5.9s

Counts
4 → 12
Calls
4 calls:
842.0ms
(* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))))
1.5s
(* (* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))))) (cbrt (- 3.0 (* x 2.0))))
1.1s
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)))))
2.4s
(cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))

simplify12.0s

Counts
137 → 137
Iterations
IterNodes
done5005
24227
11135
0430

prune3.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.2b 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

sample4.9s

Algorithm
intervals
Results
4.6s11938×body80valid