Details

Time bar (total: 13.0s)

sample22.0ms

Algorithm
intervals
Results
11.0ms375×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
91258
8482
7248
6176
5157
4150
390
235
113
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
53.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.2s

Counts
36 → 36
Iterations
IterNodes
done5001
21762
1236
077

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))))

rewrite63.0ms

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 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
17.0ms
(* x (- 3.0 (* x 2.0)))
43.0ms
(* x (* x (- 3.0 (* x 2.0))))

series254.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(* x (- 3.0 (* x 2.0)))
131.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.7s

Counts
80 → 80
Iterations
IterNodes
done5000
21759
1338
0117

prune321.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
0.2b
(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b
(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube add-exp-log
21×associate-*r/
20×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
12×prod-diff
10×pow1 associate-*r*
8×frac-times flip3-+ flip-+ associate-/l/
6×cbrt-undiv times-frac flip3-- div-exp associate-*l* flip--
4×sub-neg pow-prod-down associate-*l/ associate-/r/
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×*-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 116
Calls
3 calls:
42.0ms
(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
124.0ms
(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
103.0ms
(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

series530.0ms

Counts
3 → 9
Calls
3 calls:
311.0ms
(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
103.0ms
(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
116.0ms
(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.1s

Counts
125 → 125
Iterations
IterNodes
done5000
1685
0206

prune668.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
18.0ms
(- (* 3.0 x) (* 2.0 (* x x)))
45.0ms
(* x (- (* 3.0 x) (* 2.0 (* x x))))

series316.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(- (* 3.0 x) (* 2.0 (* x x)))
184.0ms
(* x (- (* 3.0 x) (* 2.0 (* x x))))

simplify1.4s

Counts
50 → 50
Iterations
IterNodes
done5000
21215
1235
077

prune264.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample853.0ms

Algorithm
intervals
Results
578.0ms12101×body80valid