Details

sample40.0ms

Algorithm

intervals

Results

21.0ms	332×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (55.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

737.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.8s	(* x (+ (+ (+ (+ y z) z) y) t))
202.0ms	(+ (+ (+ y z) z) y)
38.0ms	(+ (+ y z) z)

series257.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
75.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
49.0ms	(+ (+ (+ y z) z) y)
37.0ms	(+ (+ y z) z)

simplify851.0ms

Counts

83 → 83

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1400	926
done	5000	915

prune272.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
7.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt x) (cbrt x))
284.0ms	(cbrt x)
233.0ms	(cbrt x)
261.0ms	(cbrt x)

simplify5.5s

Counts

85 → 85

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.1b	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
0.2b	(* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
19×	`distribute-lft-out`
18×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `sum-log`
8×	`associate-r`
7×	`sqrt-prod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `associate-+l+` `*-commutative` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

144.0ms	(+ (+ (+ y z) z) y)
28.0ms	(+ (+ y z) z)
1.9s	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
1.5s	(* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ (+ y z) z) y)
33.0ms	(+ (+ y z) z)
162.0ms	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
84.0ms	(* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	143	1406
1	390	1211
2	1639	1081
done	5001	1070

prune307.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
0.2b	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t))))
0.2b	(* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

rewrite7.2s

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
29×	`*-un-lft-identity`
24×	`associate-l`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate-*r/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
9×	`associate-r`
4×	`sqrt-pow1` `add-log-exp`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
1.8s	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
4.0s	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t))))
1.5s	(* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(sqrt (sqrt x))
129.0ms	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
87.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t))))
327.0ms	(* (sqrt (sqrt x)) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

simplify1.5s

Counts

128 → 128

Iterations

Useful iterations: 2 (425.0ms)

Iter	Nodes	Cost
0	192	2367
1	506	2045
2	1994	1598
done	5000	1598

prune450.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

Details

sample40.0ms

simplify1.4s

prune8.0ms

localize16.0ms

rewrite2.8s

series257.0ms

simplify851.0ms

prune272.0ms

localize30.0ms

rewrite29.0ms

series1.1s

simplify5.5s

prune415.0ms

localize29.0ms

rewrite3.5s

series327.0ms

simplify1.1s

prune307.0ms

localize29.0ms

rewrite7.2s

series759.0ms

simplify1.5s

prune450.0ms

regimes6.0ms