Details

sample14.0ms

Algorithm

intervals

Results

3.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	26	7
3	50	7
4	91	7
5	117	7
6	135	7
7	148	7
8	150	7
done	150	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

18.0ms

(* (+ a b) (+ a b))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (+ a b) (+ a b))

simplify434.0ms

Counts

45 → 45

Iterations

Useful iterations: done (433.0ms)

Iter	Nodes	Cost
0	64	532
1	194	462
2	902	416
done	5000	400

prune52.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (+ a b))
0.0b	(+ (* a (+ a b)) (* (+ a b) b))
0.0b	(* (+ a b) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `associate-r` `associate-l` `add-cbrt-cube` `flip-+`
6×	`associate-r/` `associate-l/`
5×	`add-log-exp`
4×	`frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `fma-def` `sum-log`

Counts

3 → 68

Calls

3 calls:

9.0ms	(* a (+ a b))
5.0ms	(+ (* a (+ a b)) (* (+ a b) b))
12.0ms	(* (+ a b) b)

series74.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* a (+ a b))
21.0ms	(+ (* a (+ a b)) (* (+ a b) b))
25.0ms	(* (+ a b) b)

simplify670.0ms

Counts

77 → 77

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	116	900
1	354	760
2	1671	690
done	5000	684

prune132.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* b (+ (* 2 a) b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

10.0ms

(* b (+ (* 2 a) b))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* b (+ (* 2 a) b))

simplify2.3s

Counts

27 → 27

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	49	269
1	152	228
2	671	205
3	2940	205
done	5000	205

prune65.0ms

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	7	10
1	10	10
done	10	10

end0.0ms

sample332.0ms

Algorithm

intervals

Results

111.0ms	8000×	pre	80	true
98.0ms	8000×	body	80	valid