Details

Time bar (total: 12.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms372×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3889
41409
51479
61649
72119
83559
98299
1026199
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
28.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: done (2.0s)

IterNodesCost
077533
1207518
2681442
32676421
done5002397

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
0.1b
(* (* x 3.0) x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
12.0ms
(* 2.0 (pow x 3))
18.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
17.0ms
(* (* x 3.0) x)

series180.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* 2.0 (pow x 3))
107.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
32.0ms
(* (* x 3.0) x)

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0113760
1289673
21064609
done5000573

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))
0.3b
(* (sqrt (* (* x x) (- 3.0 (* x 2.0)))) (sqrt (* (* x x) (- 3.0 (* x 2.0)))))
20.4b
(sqrt (* (* x x) (- 3.0 (* x 2.0))))
20.4b
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/
17×pow-prod-up
16×sqrt-div
14×add-sqr-sqrt pow1/2
11×add-exp-log add-cube-cbrt *-un-lft-identity pow-sqr add-cbrt-cube
9×flip3-- flip--
7×associate-*r*
6×prod-diff sqrt-prod
5×distribute-rgt-in distribute-lft-in associate-*l*
4×expm1-log1p-u frac-times swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg associate-*l/ *-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 141
Calls
4 calls:
31.0ms
(* (* x x) (- 3.0 (* x 2.0)))
119.0ms
(* (sqrt (* (* x x) (- 3.0 (* x 2.0)))) (sqrt (* (* x x) (- 3.0 (* x 2.0)))))
21.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))
24.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (* x x) (- 3.0 (* x 2.0)))
84.0ms
(* (sqrt (* (* x x) (- 3.0 (* x 2.0)))) (sqrt (* (* x x) (- 3.0 (* x 2.0)))))
81.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))
87.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

simplify1.1s

Counts
153 → 153
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01592516
13591913
212561695
done50001554

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt (- 3.0 (* x 2.0))))
0.4b
(* x (sqrt (- 3.0 (* x 2.0))))
20.4b
(sqrt (* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0))))))
20.4b
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
54×pow1
26×sqrt-div
22×pow-prod-down
20×associate-*r/
19×sqrt-pow1
18×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×flip3-- flip--
8×add-exp-log add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u frac-times pow-sqr pow-prod-up log1p-expm1-u add-log-exp unswap-sqr
2×pow-plus pow1/2 associate-*l/ prod-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square
Counts
4 → 104
Calls
4 calls:
18.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
18.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
53.0ms
(sqrt (* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0))))))
22.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

series343.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
88.0ms
(* x (sqrt (- 3.0 (* x 2.0))))
85.0ms
(sqrt (* (* x (sqrt (- 3.0 (* x 2.0)))) (* x (sqrt (- 3.0 (* x 2.0))))))
84.0ms
(sqrt (* (* x x) (- 3.0 (* x 2.0))))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01401691
13021323
27521241
321971233
done50001217

prune280.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample405.0ms

Algorithm
intervals
Results
234.0ms11944×body80valid