Details

Time bar (total: 15.8s)

sample29.0ms

Algorithm
intervals
Results
15.0ms386×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0815
11515
22513
3379
4459
5489
done489

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
48.0ms
(+ (+ (* x y) (* z z)) (* z z))
8.0ms
(+ (* x y) (* z z))
135.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series192.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (+ (* x y) (* z z)) (* z z))
51.0ms
(+ (* x y) (* z z))
76.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.4s

Counts
47 → 47
Iterations

Useful iterations: 3 (891.0ms)

IterNodesCost
070791
1208667
2738601
32923519
done5000519

prune147.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
19.0ms
(+ (* x y) (* 3 (* z z)))
41.0ms
(* 3 (* z z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* x y) (* 3 (* z z)))
38.0ms
(* 3 (* z z))

simplify4.9s

Counts
36 → 36
Iterations

Useful iterations: 3 (511.0ms)

IterNodesCost
057370
1159340
2505306
31492294
44067294
done5002294

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
24.0ms
(+ (* x y) (* (* 3 z) z))
34.0ms
(* (* 3 z) z)

series123.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* x y) (* (* 3 z) z))
47.0ms
(* (* 3 z) z)

simplify3.2s

Counts
35 → 35
Iterations

Useful iterations: 3 (847.0ms)

IterNodesCost
059365
1174335
2665301
31965287
done5001287

prune92.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.2b
(* (cbrt 3) (* z z))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
20.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
81.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
23.0ms
(* (cbrt 3) (* z z))

series326.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
134.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
77.0ms
(* (cbrt 3) (* z z))

simplify3.4s

Counts
71 → 71
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0891026
1241960
2902670
33619513
done5000513

prune161.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.0ms