Details

sample28.0ms

Algorithm

intervals

Results

17.0ms	129×	body	1280	valid
4.0ms	127×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	15	8
2	29	8
3	44	8
4	51	8
5	57	8
6	62	8
7	64	8
done	64	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1.0 x) (fabs x))
6.1b	(- 1 (* (/ 1.0 x) (fabs x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`fma-neg` `associate-r` `prod-diff`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 54

Calls

2 calls:

8.0ms	(* (/ 1.0 x) (fabs x))
3.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (/ 1.0 x) (fabs x))
62.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

simplify3.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (576.0ms)

Iter	Nodes	Cost
0	104	634
1	249	596
2	858	535
3	4000	529
done	5001	529

prune130.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (fabs x) (/ 1.0 x))
6.1b	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `prod-diff`
28×	`cbrt-prod` `add-cube-cbrt`
13×	`associate-r`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`sqr-pow`
4×	`pow1` `add-log-exp`
3×	`cube-mult` `unpow-prod-down` `fma-neg` `unpow3` `cube-prod` `associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv` `distribute-lft-out--`

Counts

2 → 91

Calls

2 calls:

7.0ms	(* (fabs x) (/ 1.0 x))
9.0ms	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (fabs x) (/ 1.0 x))
62.0ms	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	197	3027
1	442	2149
2	1506	1727
done	5001	1727

prune167.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample738.0ms

Algorithm

intervals

Results

523.0ms	3981×	body	1280	valid
118.0ms	4019×	body	80	valid