Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

339×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	93	9
5	121	9
6	139	9
7	159	9
8	192	9
9	249	9
10	278	9
11	313	9
12	349	9
13	374	9
14	390	9
15	477	9
16	568	9
17	818	9
18	1143	9
19	1570	9
20	1655	9
21	1656	9
done	1656	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.7b	(* (- y x) (/ z t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

12.0ms	(+ x (* (- y x) (/ z t)))
70.0ms	(* (- y x) (/ z t))

series141.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ x (* (- y x) (/ z t)))
64.0ms	(* (- y x) (/ z t))

simplify3.5s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
3.4b	(* (cbrt (- y x)) (/ z t))
4.4b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

9.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))
66.0ms	(* (cbrt (- y x)) (/ z t))
172.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series95.0ms

Calls

1 calls:

78.0ms

(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))