Details

Time bar (total: 47.1s)

sample32.0ms

Algorithm
intervals
Results
14.0ms391×body80valid

simplify9.7s

Counts
1 → 1
Iterations
IterNodes
done5095
123864
11751
10348
9240
8187
7166
6154
5146
4139
388
234
113
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
60.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series159.0ms

Counts
1 → 3
Calls
1 calls:
159.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify6.3s

Counts
36 → 36
Iterations
IterNodes
done5000
33887
2837
1228
077

prune222.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
59.0ms
(* x (- 3.0 (* x 2.0)))
174.0ms
(* x (* x (- 3.0 (* x 2.0))))

series799.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(* x (- 3.0 (* x 2.0)))
647.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify2.8s

Counts
80 → 80
Iterations
IterNodes
done5003
2998
1306
0117

prune453.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
67.0ms
(* (* x x) (- 3.0 (* 2.0 x)))

series184.0ms

Counts
1 → 3
Calls
1 calls:
184.0ms
(* (* x x) (- 3.0 (* 2.0 x)))

simplify5.9s

Counts
36 → 36
Iterations
IterNodes
done5000
33890
2845
1228
077

prune265.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x))))) (cbrt (- 3.0 (* 2.0 x))))
0.3b
(* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x)))))
0.3b
(* x (cbrt (- 3.0 (* 2.0 x))))
0.3b
(* x (cbrt (- 3.0 (* 2.0 x))))

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
65×pow1
62×associate-*r/
38×add-exp-log
35×flip3-- flip--
32×frac-times pow-prod-down
23×prod-exp add-cbrt-cube cbrt-unprod
22×add-sqr-sqrt
19×associate-*r*
16×associate-*l/
12×cbrt-prod add-cube-cbrt *-un-lft-identity
8×associate-*l*
6×unswap-sqr
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 156
Calls
4 calls:
404.0ms
(* (* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x))))) (cbrt (- 3.0 (* 2.0 x))))
112.0ms
(* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x)))))
41.0ms
(* x (cbrt (- 3.0 (* 2.0 x))))
41.0ms
(* x (cbrt (- 3.0 (* 2.0 x))))

series1.3s

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x))))) (cbrt (- 3.0 (* 2.0 x))))
315.0ms
(* (* x (cbrt (- 3.0 (* 2.0 x)))) (* x (cbrt (- 3.0 (* 2.0 x)))))
402.0ms
(* x (cbrt (- 3.0 (* 2.0 x))))
333.0ms
(* x (cbrt (- 3.0 (* 2.0 x))))

simplify12.4s

Counts
168 → 168
Iterations
IterNodes
done5001
22860
1744
0272

prune2.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes190.0ms

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

sample3.0s

Algorithm
intervals
Results
2.7s11938×body80valid