Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

443×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	46	15
3	70	15
4	76	15
done	76	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

44.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
2.0ms	(+ (* x y) (* z t))
14.0ms	(+ (+ (* x y) (* z t)) (* a b))

series304.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))
58.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (483.0ms)

Iter	Nodes	Cost
0	85	777
1	273	719
2	977	689
3	3982	677
done	5000	677

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))
0.0b	(+ (* a b) (* c i))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

2.0ms	(+ (* x y) (* z t))
17.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))
2.0ms	(+ (* a b) (* c i))

series276.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* z t))
210.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))
32.0ms	(+ (* a b) (* c i))

simplify506.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	99	1084
1	346	998
2	1427	968
done	5000	968

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
21.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
37.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
68.0ms	(sqrt (+ (* x y) (* z t)))
73.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	106	2066
1	233	1475
2	739	1367
3	2671	1304
done	5001	1300

prune335.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))
0.0b	(+ (* a b) (* c i))
0.2b	(pow (+ (+ (* x y) (* z t)) (+ (* a b) (* c i))) 3)
41.8b	(cbrt (pow (+ (+ (* x y) (* z t)) (+ (* a b) (* c i))) 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-log-exp`
16×	`flip3-+` `flip-+`
14×	`cbrt-prod`
12×	`cube-div` `frac-add`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`sum-log`
8×	`unpow-prod-down` `cube-prod`
6×	`cbrt-div`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 92

Calls

4 calls:

16.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))
3.0ms	(+ (* a b) (* c i))
24.0ms	(pow (+ (+ (* x y) (* z t)) (+ (* a b) (* c i))) 3)
22.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (+ (* a b) (* c i))) 3))

series9.9m

Calls

1 calls:

223.0ms

(cbrt (pow (+ (+ (* x y) (* z t)) (+ (* a b) (* c i))) 3))