Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify99.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	41	7
3	75	7
4	93	7
done	93	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
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 → 26

Calls

1 calls:

143.0ms

(* a (+ (+ b c) d))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* a (+ (+ b c) d))

simplify2.6s

Counts

29 → 29

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	54	271
1	152	256
2	593	228
3	3461	228
done	5001	228

prune98.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ b c) a) (* d a))
0.0b	(* (+ b c) a)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

27.0ms	(+ (* (+ b c) a) (* d a))
27.0ms	(* (+ b c) a)

series95.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* (+ b c) a) (* d a))
40.0ms	(* (+ b c) a)

simplify3.5s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	72	419
1	203	356
2	832	330
3	4169	328
done	5000	328

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) a)
0.1b	(sqrt (* (+ b c) a))
0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

24.0ms	(* (+ b c) a)
11.0ms	(sqrt (* (+ b c) a))
9.0ms	(sqrt (* (+ b c) a))
100.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series60.0ms

Calls

1 calls:

45.0ms

(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))