Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

334×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	61	7
4	127	7
5	227	7
6	309	7
7	467	7
8	672	7
9	1016	7
10	1152	7
11	1179	7
done	1179	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

19.0ms

(* (+ x y) (- 1.0 z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (+ x y) (- 1.0 z))

simplify566.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (151.0ms)

Iter	Nodes	Cost
0	134	1028
1	393	845
2	1344	707
done	5001	707

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r/` `associate-l*`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`expm1-log1p-u` `associate-+l+` `associate-+r+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

6.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
12.0ms	(* (- z) (+ x y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
41.0ms	(* (- z) (+ x y))

simplify623.0ms

Counts

64 → 64

Iterations

Useful iterations: done (621.0ms)

Iter	Nodes	Cost
0	117	830
1	400	679
2	1669	637
done	5000	634

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z) (+ x y))
0.3b	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
3.3b	(sqrt (* (- z) (+ x y)))
3.3b	(sqrt (* (- z) (+ x y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
14×	`-un-lft-identity` `associate-l*`
12×	`add-cube-cbrt` `pow1/2`
10×	`pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

13.0ms	(* (- z) (+ x y))
31.0ms	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
4.0ms	(sqrt (* (- z) (+ x y)))
4.0ms	(sqrt (* (- z) (+ x y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- z) (+ x y))
201.0ms	(* (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))))
58.0ms	(sqrt (* (- z) (+ x y)))
62.0ms	(sqrt (* (- z) (+ x y)))

simplify637.0ms

Counts

134 → 134

Iterations

Useful iterations: done (634.0ms)

Iter	Nodes	Cost
0	155	1656
1	395	1233
2	1581	1141
done	5001	1136

prune307.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	15	12
2	18	12
3	23	12
done	23	12

end0.0ms

sample407.0ms

Algorithm

intervals

Results

198.0ms	10101×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid