Details

Time bar (total: 11.8s)

sample40.0ms

Algorithm
intervals
Results
21.0ms329×body80valid

simplify219.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1147
2337
3737
41097
51217
61237
done1237

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize355.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
46.0ms
(* 2.0 (- (* x x) (* x y)))
9.0ms
(- (* x x) (* x y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* 2.0 (- (* x x) (* x y)))
41.0ms
(- (* x x) (* x y))

simplify2.2s

Counts
52 → 52
Iterations

Useful iterations: done (2.2s)

IterNodesCost
077609
1179488
2564439
32528439
done5000424

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
14.0ms
(* 2.0 (fma x x (- (* y x))))
1.0ms
(fma x x (- (* y x)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* 2.0 (fma x x (- (* y x))))
58.0ms
(fma x x (- (* y x)))

simplify1.2s

Counts
38 → 38
Iterations

Useful iterations: 3 (229.0ms)

IterNodesCost
051427
1103418
2265298
31344294
done5000294

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

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:
57.0ms
(* (* 2.0 x) (- x y))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(* (* 2.0 x) (- x y))

simplify4.3s

Counts
49 → 49
Iterations

Useful iterations: done (4.3s)

IterNodesCost
0112883
1279706
2845570
33389528
done5002510

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite127.0ms

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 distribute-rgt-in expm1-log1p-u sub-neg flip3-- distribute-lft-in div-exp prod-diff pow-prod-down flip-- log1p-expm1-u
2×associate-/r/ associate-/l/ distribute-lft-out difference-of-squares
1×frac-2neg flip3-+ fma-neg diff-log associate-*l* clear-num *-commutative flip-+ div-inv associate-/l*
Counts
3 → 77
Calls
3 calls:
11.0ms
(- (* x x) (* y y))
56.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
58.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (+ x y))

series277.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* x x) (* y y))
107.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
110.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (+ x y))

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: 2 (518.0ms)

IterNodesCost
01311391
13891323
218361080
done50011080

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2159
done159

end0.0ms

sample865.0ms

Algorithm
intervals
Results
500.0ms11142×body80valid