Details

Time bar (total: 10.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms389×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1139
2349
3699
4869
5919
61089
71509
82719
96729
1022119
done50019

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)))

rewrite13.0ms

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:
12.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.2s

Counts
28 → 28
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
057367
1165352
2698294
33440294
done5001294

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×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
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
7.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* (* x x) 3.0)

series167.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* 2.0 (pow x 3))
100.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
31.0ms
(* (* x x) 3.0)

simplify748.0ms

Counts
74 → 74
Iterations

Useful iterations: done (746.0ms)

IterNodesCost
0110718
1284620
21101568
done5001566

prune128.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

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))))

rewrite19.0ms

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:
7.0ms
(* x (- 3.0 (* x 2.0)))
10.0ms
(* x (* x (- 3.0 (* x 2.0))))

series147.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* x (- 3.0 (* x 2.0)))
76.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
079669
1193655
2612553
32719553
done5001553

prune73.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 93
Calls
4 calls:
15.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
14.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
7.0ms
(* x (sqrt 3.0))
4.0ms
(* x (sqrt 3.0))

series307.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
74.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
46.0ms
(* x (sqrt 3.0))
41.0ms
(* x (sqrt 3.0))

simplify789.0ms

Counts
105 → 105
Iterations

Useful iterations: done (787.0ms)

IterNodesCost
0901070
1227738
2874650
done5000616

prune157.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11712
21912
done1912

end0.0ms

sample378.0ms

Algorithm
intervals
Results
238.0ms12015×body80valid