Details

Time bar (total: 14.3s)

sample26.0ms

Algorithm
intervals
Results
14.0ms353×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1187
2367
3557
done557

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
28.0ms
(* x (+ x y))
40.0ms
(* (* x (+ x y)) 2.0)

series90.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (+ x y))
50.0ms
(* (* x (+ x y)) 2.0)

simplify3.6s

Counts
49 → 49
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
072439
1198407
2766349
33964349
done5000349

prune109.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
29.0ms
(* x (* (+ x y) 2.0))

series65.0ms

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

simplify1.8s

Counts
23 → 23
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
052242
1147223
2533185
32463185
done5002185

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
16.0ms
(+ (* x x) (* x y))
36.0ms
(* 2.0 (+ (* x x) (* x y)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* x x) (* x y))
62.0ms
(* 2.0 (+ (* x x) (* x y)))

simplify2.1s

Counts
41 → 41
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
062487
1185383
2657335
32728335
done5000335

prune124.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* x y))
0.2b
(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
6.6b
(sqrt (+ (* x x) (* x y)))
6.6b
(sqrt (* x (+ x y)))

rewrite607.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div associate-*r/
13×pow1
9×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-log-exp
4×frac-times pow-prod-down
3×sqrt-pow1 prod-exp cbrt-unprod distribute-lft-out
2×pow1/2 associate-*l/
1×+-commutative rem-sqrt-square associate-*l* sum-log *-commutative
Counts
4 → 71
Calls
4 calls:
16.0ms
(+ (* x x) (* x y))
573.0ms
(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
8.0ms
(sqrt (+ (* x x) (* x y)))
7.0ms
(sqrt (* x (+ x y)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (* x x) (* x y))
106.0ms
(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
94.0ms
(sqrt (+ (* x x) (* x y)))
80.0ms
(sqrt (* x (+ x y)))

simplify4.7s

Counts
83 → 83
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01321389
1345991
21139893
34675887
done5002887

prune254.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.0ms