Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

369×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	31	9
done	31	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* x y) z)
11.0ms	(* (+ (* x y) z) y)

series56.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
34.0ms	(* (+ (* x y) z) y)

simplify2.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (397.0ms)

Iter	Nodes	Cost
0	57	361
1	143	355
2	453	311
3	1718	309
done	5000	309

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.8b	(- (* (* x y) (* x y)) (* z z))
6.2b	(* (- (* (* x y) (* x y)) (* z z)) y)
19.4b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-l`
4×	`flip3--` `associate-r` `associate-*l/` `pow-sqr` `pow-prod-up` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
11.0ms	(- (* (* x y) (* x y)) (* z z))
43.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
20.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series248.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x y) (* x y))
59.0ms	(- (* (* x y) (* x y)) (* z z))
80.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
71.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify685.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	134	1653
1	360	1508
2	1744	1250
done	5001	1250

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (pow y 2)) (* z y))
8.4b	(* x (pow y 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

3.0ms	(+ (* x (pow y 2)) (* z y))
6.0ms	(* x (pow y 2))

series74.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* x (pow y 2)) (* z y))
30.0ms	(* x (pow y 2))

simplify1.1s

Counts

44 → 44

Iterations

Useful iterations: 3 (260.0ms)

Iter	Nodes	Cost
0	73	440
1	186	398
2	535	353
3	1600	325
done	5000	325

prune98.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* x y) z))
0.2b	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
7.4b	(sqrt (* y (+ (* x y) z)))
7.4b	(sqrt (* y (+ (* x y) z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

11.0ms	(* y (+ (* x y) z))
35.0ms	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
4.0ms	(sqrt (* y (+ (* x y) z)))
4.0ms	(sqrt (* y (+ (* x y) z)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (+ (* x y) z))
41.0ms	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
62.0ms	(sqrt (* y (+ (* x y) z)))
68.0ms	(sqrt (* y (+ (* x y) z)))

simplify2.3s

Counts

117 → 117

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	134	1704
1	305	1292
2	959	1182
3	3956	1106
done	5000	1101

prune253.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample576.0ms

Algorithm

intervals

Results

285.0ms

11250×

body

valid