Details

sample37.0ms

Algorithm

intervals

Results

22.0ms	343×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	83	15
3	252	13
4	599	13
5	824	13
6	838	13
done	838	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

177.0ms	(+ (+ (+ y z) z) y)
664.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.9s	(* x (+ (+ (+ (+ y z) z) y) t))
66.0ms	(+ (+ y z) z)

series269.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ (+ y z) z) y)
117.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
66.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
27.0ms	(+ (+ y z) z)

simplify963.0ms

Counts

83 → 83

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1400	926
done	5002	915

prune349.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x t) (* (* 2 x) (+ y z))) (* y 5.0))
0.0b	(+ (* x t) (* (* 2 x) (+ y z)))
0.0b	(* (* 2 x) (+ y z))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l+` `associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

43.0ms	(+ (+ (* x t) (* (* 2 x) (+ y z))) (* y 5.0))
15.0ms	(+ (* x t) (* (* 2 x) (+ y z)))
44.0ms	(* (* 2 x) (+ y z))

series215.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (+ (* x t) (* (* 2 x) (+ y z))) (* y 5.0))
56.0ms	(+ (* x t) (* (* 2 x) (+ y z)))
71.0ms	(* (* 2 x) (+ y z))

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: 2 (392.0ms)

Iter	Nodes	Cost
0	110	897
1	335	804
2	1582	744
done	5000	744

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x t) (* y (+ 5.0 (* 2 x))))
0.0b	(* y (+ 5.0 (* 2 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* x t) (* y (+ 5.0 (* 2 x))))
18.0ms	(* y (+ 5.0 (* 2 x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x t) (* y (+ 5.0 (* 2 x))))
70.0ms	(* y (+ 5.0 (* 2 x)))

simplify3.3s

Counts

41 → 41

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	76	523
1	230	483
2	847	447
3	4105	447
done	5001	447

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 5.0 (* 2 x)))
0.0b	(sqrt (+ 5.0 (* 2 x)))
0.2b	(* y (sqrt (+ 5.0 (* 2 x))))
0.3b	(* (* y (sqrt (+ 5.0 (* 2 x)))) (sqrt (+ 5.0 (* 2 x))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(sqrt (+ 5.0 (* 2 x)))
10.0ms	(sqrt (+ 5.0 (* 2 x)))
32.0ms	(* y (sqrt (+ 5.0 (* 2 x))))
77.0ms	(* (* y (sqrt (+ 5.0 (* 2 x)))) (sqrt (+ 5.0 (* 2 x))))

series85.0ms

Calls

1 calls:

63.0ms

(* (* y (sqrt (+ 5.0 (* 2 x)))) (sqrt (+ 5.0 (* 2 x))))