Details

sample75.0ms

Algorithm

intervals

Results

44.0ms	120×	body	1280	valid
11.0ms	136×	body	80	valid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	12
1	15	8
2	32	8
3	44	8
4	51	8
5	57	8
6	60	8
done	60	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 1.0 x) (fabs x))
4.6b	(- 1 (* (/ 1.0 x) (fabs x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 44

Calls

2 calls:

33.0ms	(* (/ 1.0 x) (fabs x))
12.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (/ 1.0 x) (fabs x))
107.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

simplify1.9s

Counts

50 → 50

Iterations

Useful iterations: 2 (398.0ms)

Iter	Nodes	Cost
0	90	505
1	230	474
2	1425	432
done	5000	432

prune286.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (fabs x) (/ 1.0 x))
4.6b	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-r`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
4×	`pow1` `cbrt-prod` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv` `distribute-lft-out--`

Counts

2 → 51

Calls

2 calls:

41.0ms	(* (fabs x) (/ 1.0 x))
27.0ms	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (fabs x) (/ 1.0 x))
93.0ms	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

simplify2.0s

Counts

57 → 57

Iterations

Useful iterations: 2 (540.0ms)

Iter	Nodes	Cost
0	116	746
1	292	618
2	1520	574
done	5000	574

prune355.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	4025×	body	1280	valid
1000.0ms	3975×	body	80	valid