Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	71×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
22.4b	(sqrt (+ (* x x) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

9.0ms	(+ (* x x) y)
14.0ms	(sqrt (+ (* x x) y))

series105.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x x) y)
72.0ms	(sqrt (+ (* x x) y))

simplify568.0ms

Counts

32 → 32

Iterations

Useful iterations: done (567.0ms)

Iter	Nodes	Cost
0	59	319
1	154	294
2	700	258
done	5000	255

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

17.0ms

(* 1/2 (/ y x))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 1/2 (/ y x))

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (524.0ms)

Iter	Nodes	Cost
0	68	277
1	178	250
2	570	230
3	2465	229
done	5000	229

prune56.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (/ y x) -1/2)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

16.0ms

(* (/ y x) -1/2)

series20.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* (/ y x) -1/2)

simplify416.0ms

Counts

35 → 35

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	67	261
1	160	244
2	663	224
done	5000	224

prune53.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.1b

bsearch47.0ms

Steps

Iters	Range		Point
10	4.536853709009945e+119	3.236573961522054e+132	1.7264250024804248e+131
8	-1.586738250545193e+154	-3.329626013588087e+149	-1.3211815035672677e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	22	28
done	22	28

end0.0ms

sample606.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
67.0ms	2772×	body	80	nan