Details

Time bar (total: 7.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms375×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1147
2337
3657
4937
51087
61107
done1107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
14.0ms
(* (* x (- x y)) 2.0)
11.0ms
(* x (- x y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* x (- x y)) 2.0)
40.0ms
(* x (- x y))

simplify2.8s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0128982
1267790
2779640
33439598
done5001598

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* x 2.0) (- x y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* x 2.0) (- x y))

simplify2.6s

Counts
49 → 49
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0112883
1295706
21035570
33729528
done5001528

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* x (- (* x x) (* y y))) (+ x y)) 2.0)
0.0b
(- (* x x) (* y y))
5.5b
(* x (- (* x x) (* y y)))
19.6b
(/ (* x (- (* x x) (* y y))) (+ x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
7×associate-*r*
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-/r* associate-/r/ log1p-expm1-u
3×distribute-rgt-in sub-neg flip3-- distribute-lft-in prod-diff flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
1×frac-2neg fma-neg diff-log associate-*l/ clear-num associate-/l*
Counts
4 → 107
Calls
4 calls:
24.0ms
(* (/ (* x (- (* x x) (* y y))) (+ x y)) 2.0)
3.0ms
(- (* x x) (* y y))
10.0ms
(* x (- (* x x) (* y y)))
11.0ms
(/ (* x (- (* x x) (* y y))) (+ x y))

series228.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (/ (* x (- (* x x) (* y y))) (+ x y)) 2.0)
31.0ms
(- (* x x) (* y y))
51.0ms
(* x (- (* x x) (* y y)))
66.0ms
(/ (* x (- (* x x) (* y y))) (+ x y))

simplify862.0ms

Counts
119 → 119
Iterations

Useful iterations: done (860.0ms)

IterNodesCost
01571805
14171735
215801440
done50001438

prune210.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample370.0ms

Algorithm
intervals
Results
214.0ms11134×body80valid