Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	216×	body	80	valid
2.0ms	24×	body	640	valid
2.0ms	13×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	16×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1788
5	612
4	236
3	78
2	27
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.9b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`associate-l/` `associate-r/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

39.0ms	(* (- 1.0 x) (- 1.0 y))
14.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- 1.0 x) (- 1.0 y))
29.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1052
1	287
0	103

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

15.0ms

(* y (- x 1.0))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (- x 1.0))

simplify3.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
4	4773
3	1078
2	316
1	122
0	53

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
2.9b	(+ x (* (* (- 1.0 x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- 1.0 y))
5.0ms	(cbrt (- 1.0 y))
4.0ms	(cbrt (- 1.0 y))
11.0ms	(+ x (* (* (- 1.0 x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (- 1.0 y))
102.0ms	(cbrt (- 1.0 y))
112.0ms	(cbrt (- 1.0 y))
35.0ms	(+ x (* (* (- 1.0 x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
3	2987
2	786
1	279
0	113

prune361.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample843.0ms

Algorithm

intervals

Results

341.0ms	6944×	body	80	valid
117.0ms	841×	body	640	valid
107.0ms	402×	body	1280	valid
98.0ms	579×	body	320	valid
25.0ms	347×	body	160	valid