Details

sample154.0ms

Algorithm

intervals

Results

67.0ms

359×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	123
1	11	123
2	12	123
done	12	123

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

9.0ms	(+ x (* (* y z) z))
30.0ms	(* (* y z) z)

series294.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(+ x (* (* y z) z))
104.0ms	(* (* y z) z)

simplify2.8s

Counts

35 → 35

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	58	6739
1	164	5332
2	546	5172
3	2534	5172
done	5001	5172

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.6s

Counts

4 → 12

Calls

4 calls:

781.0ms	(* (cbrt z) (cbrt z))
294.0ms	(cbrt z)
306.0ms	(cbrt z)
259.0ms	(cbrt z)

simplify3.8s

Counts

85 → 85

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	971	13666
4	3114	13666
done	5028	13626

prune542.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.2b	(cbrt (* (* y z) z))
21.2b	(cbrt (* (* y z) z))
21.2b	(cbrt (* (* y z) z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

28.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
18.0ms	(cbrt (* (* y z) z))
18.0ms	(cbrt (* (* y z) z))
23.0ms	(cbrt (* (* y z) z))

series594.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
152.0ms	(cbrt (* (* y z) z))
152.0ms	(cbrt (* (* y z) z))
137.0ms	(cbrt (* (* y z) z))

simplify65.0ms

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	86	17974