Details

Time bar (total: 5.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms465×body80valid

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2267
3507
4917
51177
61357
71487
81507
done1507

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify437.0ms

Counts
45 → 45
Iterations

Useful iterations: done (436.0ms)

IterNodesCost
064532
1193465
2899416
done5000400

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ x y)) (* (+ x y) y))
0.0b
(* (+ x y) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u associate-+l+ log1p-expm1-u
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
6.0ms
(+ (* x (+ x y)) (* (+ x y) y))
10.0ms
(* (+ x y) y)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x (+ x y)) (* (+ x y) y))
28.0ms
(* (+ x y) y)

simplify549.0ms

Counts
49 → 49
Iterations

Useful iterations: done (547.0ms)

IterNodesCost
095694
1298583
21336515
done5001477

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ x (+ x y)))
0.0b
(+ x (+ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
6×distribute-lft-out
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
29.0ms
(* y (+ x (+ x y)))
8.0ms
(+ x (+ x y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (+ x (+ x y)))
23.0ms
(+ x (+ x y))

simplify2.8s

Counts
52 → 52
Iterations

Useful iterations: 3 (358.0ms)

IterNodesCost
067432
1184371
2773322
33674317
done5000317

prune117.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) y)
0.1b
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
8.6b
(sqrt (* (+ x y) y))
8.6b
(sqrt (* (+ x y) y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 112
Calls
4 calls:
10.0ms
(* (+ x y) y)
32.0ms
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
4.0ms
(sqrt (* (+ x y) y))
4.0ms
(sqrt (* (+ x y) y))

series139.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (+ x y) y)
28.0ms
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
43.0ms
(sqrt (* (+ x y) y))
40.0ms
(sqrt (* (+ x y) y))

simplify547.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
01101350
1220991
2975909
done5000909

prune225.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
0711
11111
done1111

end0.0ms

sample419.0ms

Algorithm
intervals
Results
204.0ms14336×body80valid