Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
13.0ms	256×	body	80	valid

simplify60.0ms

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

prune3.0ms

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))

rewrite126.0ms

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:

125.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.4s

Counts

29 → 29

Iterations

Useful iterations: 2 (77.0ms)

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

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

23.0ms	(* (+ b c) a)
15.0ms	(+ (* (+ b c) a) (* d a))

series81.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (+ b c) a)
38.0ms	(+ (* (+ b c) a) (* d a))

simplify3.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	72	419
1	203	356
2	830	344
3	4162	328
done	5000	328

prune144.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.3b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
32×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt` `hypot-def`

Counts

4 → 146

Calls

4 calls:

65.0ms	(sqrt (+ (+ b c) d))
98.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
126.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
258.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series85.0ms

Calls

1 calls:

69.0ms

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