Details

sample28.0ms

Algorithm

intervals

Results

18.0ms	142×	body	1280	valid
3.0ms	114×	body	80	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	15	8
2	29	8
3	40	8
4	47	8
5	53	8
6	56	8
done	56	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 1.0 x) (fabs x))
7.0b	(- 1 (* (/ 1.0 x) (fabs x)))

rewrite11.0ms

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:

8.0ms	(* (/ 1.0 x) (fabs x))
2.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (/ 1.0 x) (fabs x))
53.0ms	(- 1 (* (/ 1.0 x) (fabs x)))

simplify2.9s

Counts

50 → 50

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	90	505
1	224	474
2	795	432
3	3865	432
done	5000	432

prune91.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (fabs x) (/ 1.0 x))
7.0b	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

rewrite15.0ms

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:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (fabs x) (/ 1.0 x))
53.0ms	(- 1 (cbrt (pow (* (fabs x) (/ 1.0 x)) 3)))

simplify3.7s

Counts

57 → 57

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	116	746
1	272	614
2	1058	574
3	4652	574
done	5000	574

prune118.0ms

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

sample734.0ms

Algorithm

intervals

Results

522.0ms	4046×	body	1280	valid
112.0ms	3954×	body	80	valid