Details

sample66.0ms

Algorithm

intervals

Results

35.0ms

375×

body

valid

simplify123.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	93	13
4	108	13
5	109	13
done	109	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.9b	(* (* a z) b)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ x (* y z))
23.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

series165.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y z))
91.0ms	(+ (+ x (* y z)) (* t a))
44.0ms	(* (* a z) b)

simplify3.0s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	93	492
1	260	465
2	991	417
3	3784	415
done	5002	415

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
5.9b	(* (* a z) b)

rewrite122.0ms

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:

24.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
25.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
24.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
46.0ms	(* (* a z) b)

series967.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
284.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
341.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
52.0ms	(* (* a z) b)

simplify2.6s

Counts

69 → 69

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	109	1083
1	277	1051
2	903	949
3	2879	913
done	5000	862

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
0.6b	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
5.9b	(* (* a z) b)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
54.0ms	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
13.0ms	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
39.0ms	(* (* a z) b)

series932.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
302.0ms	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
260.0ms	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
43.0ms	(* (* a z) b)

simplify3.4s

Counts

76 → 76

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	205	1688
1	478	1633
2	1359	1503
3	3932	1462
done	5000	1343

prune558.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.8b	(* a (* b z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

11.0ms	(+ x (* y z))
53.0ms	(+ (+ x (* y z)) (* t a))
32.0ms	(* a (* b z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (* y z))
73.0ms	(+ (+ x (* y z)) (* t a))
45.0ms	(* a (* b z))

simplify2.6s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	91	489
1	253	464
2	917	416
3	3464	414
done	5000	414

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

Details

sample66.0ms

simplify123.0ms

prune7.0ms

localize27.0ms

rewrite56.0ms

series165.0ms

simplify3.0s

prune224.0ms

localize45.0ms

rewrite122.0ms

series967.0ms

simplify2.6s

prune358.0ms

localize62.0ms

rewrite120.0ms

series932.0ms

simplify3.4s

prune558.0ms

localize28.0ms

rewrite99.0ms

series163.0ms

simplify2.6s

prune226.0ms

regimes388.0ms

bsearch1.0ms