Details

sample45.0ms

Algorithm

intervals

Results

32.0ms	256×	body	80	valid
2.0ms	92×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
17.7b	(sqrt (+ (* x x) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

11.0ms	(+ (* x x) y)
15.0ms	(sqrt (+ (* x x) y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x x) y)
87.0ms	(sqrt (+ (* x x) y))

simplify537.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	697
1	154
0	59

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ -1/2 (/ x y)) x)
1.0b	(/ -1/2 (/ x y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

46.0ms	(- (/ -1/2 (/ x y)) x)
15.0ms	(/ -1/2 (/ x y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (/ -1/2 (/ x y)) x)
35.0ms	(/ -1/2 (/ x y))

simplify762.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1728
1	447
0	180

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

11.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
3	2323
2	391
1	83
0	30

prune62.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch107.0ms

Steps

Iters	Range		Point
11	1.8832230334659124e+24	1.4313346338374724e+48	1.4171690306065683e+48
9	-1.951179920997044e+156	-6.518035068066237e+150	-1.3378267015828925e+154

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

773.0ms	8000×	body	80	valid
89.0ms	2523×	body	80	nan