Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

362×

body

valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	54	13
3	85	13
4	94	13
5	96	13
done	96	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
1.8b	(* (* a z) b)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

11.0ms	(+ (+ x (* y z)) (* t a))
36.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
6.0ms	(* (* a z) b)

series176.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ x (* y z)) (* t a))
81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
26.0ms	(* (* a z) b)

simplify548.0ms

Counts

68 → 68

Iterations

Useful iterations: done (546.0ms)

Iter	Nodes	Cost
0	115	854
1	342	787
2	1412	703
done	5000	695

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
1.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt b)
0.0ms	(cbrt b)
47.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt b)
176.0ms	(cbrt b)
47.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
102.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify518.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	95	943
1	265	908
2	1169	600
done	5001	600

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
1.8b	(* (* a z) b)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
5.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
5.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
6.0ms	(* (* a z) b)

series579.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
186.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
185.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
25.0ms	(* (* a z) b)

simplify334.0ms

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	109	1083
1	280	1051
2	930	949