Details

Time bar (total: 10.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms329×body80valid

simplify87.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1137
2327
3667
4907
5967
done967

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (- (* x x) (* x y)))
0.0b
(- (* x x) (* x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
36.0ms
(* 2.0 (- (* x x) (* x y)))
14.0ms
(- (* x x) (* x y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* 2.0 (- (* x x) (* x y)))
49.0ms
(- (* x x) (* x y))

simplify1.8s

Counts
44 → 44
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
064519
1158413
2500367
32245367
done5002367

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (- x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
33.0ms
(* (* 2.0 x) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (* 2.0 x) (- x y))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
062303
1167288
2656242
32669242
done5000242

prune48.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
5.0b
(* (* 2.0 x) (- (* x x) (* y y)))
18.8b
(/ (* (* 2.0 x) (- (* x x) (* y y))) (+ x y))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1
6×add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
5×add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×cbrt-undiv sub-neg flip3-- div-exp pow-prod-down flip--
2×distribute-rgt-in distribute-lft-in associate-/r/ associate-/l/ distribute-lft-out difference-of-squares
1×frac-2neg flip3-+ diff-log associate-*l* clear-num *-commutative flip-+ div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
9.0ms
(- (* x x) (* y y))
43.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
80.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (+ x y))

series263.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* x x) (* y y))
80.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
124.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (+ x y))

simplify1.8s

Counts
76 → 76
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01181257
13641193
21687955
done5001859

prune182.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(/ 1 (+ x y))
5.0b
(* (* 2.0 x) (- (* x x) (* y y)))
18.8b
(* (* (* 2.0 x) (- (* x x) (* y y))) (/ 1 (+ x y)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
36×*-un-lft-identity
32×add-cbrt-cube
27×prod-exp
24×times-frac
22×add-sqr-sqrt add-cube-cbrt associate-*r*
19×pow1
15×cbrt-unprod
9×pow-prod-down
8×div-exp
7×associate-*r/ distribute-lft-out
6×add-log-exp
4×cbrt-undiv rec-exp flip3-- 1-exp associate-/r* associate-/r/ flip--
3×sub-neg associate-/l*
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*l* associate-*l/ *-commutative flip-+ div-inv difference-of-squares
1×pow-flip frac-2neg diff-log clear-num un-div-inv inv-pow
Counts
4 → 129
Calls
4 calls:
14.0ms
(- (* x x) (* y y))
21.0ms
(/ 1 (+ x y))
62.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
144.0ms
(* (* (* 2.0 x) (- (* x x) (* y y))) (/ 1 (+ x y)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* x x) (* y y))
55.0ms
(/ 1 (+ x y))
93.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
121.0ms
(* (* (* 2.0 x) (- (* x x) (* y y))) (/ 1 (+ x y)))

simplify1.6s

Counts
141 → 141
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01742257
14921973
219241605
done50001409

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample885.0ms

Algorithm
intervals
Results
512.0ms11142×body80valid