Details

sample112.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	15	5
3	19	5
done	19	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

51.0ms

(* (+ x y) z)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (+ x y) z)

simplify4.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	47	190
1	111	185
2	377	163
3	1143	163
4	4461	163
done	5000	163

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
2.7b	(sqrt (* (+ x y) z))
2.7b	(sqrt (* (+ x y) z))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `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`

Counts

4 → 112

Calls

4 calls:

27.0ms	(* (+ x y) z)
91.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
8.0ms	(sqrt (* (+ x y) z))
8.0ms	(sqrt (* (+ x y) z))

series328.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
46.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
131.0ms	(sqrt (* (+ x y) z))
127.0ms	(sqrt (* (+ x y) z))

simplify3.5s

Counts

124 → 124

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	128	1416
1	270	1049
2	860	961
3	3021	917
done	5001	905

prune353.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 52

Calls

2 calls:

42.0ms	(* (+ x y) (sqrt z))
58.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (+ x y) (sqrt z))
42.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	85	613
1	216	486
2	704	426
3	2326	419
done	5001	419

prune157.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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	5	5
1	7	5
done	7	5

end0.0ms

sample873.0ms

Algorithm

intervals

Results

343.0ms

10165×

body

valid