Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

322×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	50	7
5	66	7
6	75	7
7	93	7
8	232	7
9	621	7
10	2712	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

52.0ms	(* (- y x) z)
14.0ms	(+ x (* (- y x) z))

series113.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (- y x) z)
57.0ms	(+ x (* (- y x) z))

simplify578.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	68	357
1	168	337
2	651	303
done	5000	303

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.1b	(sqrt (* (- y x) z))
2.1b	(sqrt (* (- y x) z))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

25.0ms	(* (- y x) z)
103.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
14.0ms	(sqrt (* (- y x) z))
12.0ms	(sqrt (* (- y x) z))

series889.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- y x) z)
104.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
381.0ms	(sqrt (* (- y x) z))
347.0ms	(sqrt (* (- y x) z))

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	1349
1	296	1015
2	1448	925
done	5002	907

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`associate-l` `sqrt-prod`
5×	`add-log-exp`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

12.0ms	(+ x (* (* (sqrt z) (- y x)) (sqrt z)))
46.0ms	(* (sqrt z) (- y x))
83.0ms	(* (* (sqrt z) (- y x)) (sqrt z))

series264.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* (* (sqrt z) (- y x)) (sqrt z)))
118.0ms	(* (sqrt z) (- y x))
76.0ms	(* (* (sqrt z) (- y x)) (sqrt z))

simplify1.2s

Counts

73 → 73

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	127	897
1	346	826
2	1611	640
done	5000	626

prune204.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt z))
0.3b	(cbrt (sqrt z))
0.3b	(cbrt (sqrt z))
0.3b	(* (cbrt (sqrt z)) (cbrt (sqrt z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (sqrt z))
3.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))
16.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))

series862.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (sqrt z))
219.0ms	(cbrt (sqrt z))
230.0ms	(cbrt (sqrt z))
211.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	78	1040
1	172	920
2	875	852
done	5000	824

prune336.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample789.0ms

Algorithm

intervals

Results

424.0ms

10188×

body

valid