Details

sample66.0ms

Algorithm

intervals

Results

31.0ms

392×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	69	11
3	188	9
4	410	9
5	693	9
6	946	9
7	1263	9
8	1510	9
9	1595	9
done	1595	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

217.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
37.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
27.0ms	(- (* d1 d2) (* d1 d3))

series211.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
70.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
58.0ms	(- (* d1 d2) (* d1 d3))

simplify3.4s

Counts

54 → 54

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	88	867
1	255	659
2	941	547
3	4680	527
done	5000	527

prune198.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (- (+ d4 d2) d3))
0.2b	(* (+ (sqrt (* d1 (- (+ d4 d2) d3))) d1) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
1.6b	(sqrt (* d1 (- (+ d4 d2) d3)))
1.6b	(sqrt (* d1 (- (+ d4 d2) d3)))

rewrite528.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

107.0ms	(* d1 (- (+ d4 d2) d3))
356.0ms	(* (+ (sqrt (* d1 (- (+ d4 d2) d3))) d1) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
22.0ms	(sqrt (* d1 (- (+ d4 d2) d3)))
40.0ms	(sqrt (* d1 (- (+ d4 d2) d3)))

series5.4s

Counts

4 → 12

Calls

4 calls:

36.0ms	(* d1 (- (+ d4 d2) d3))
4.8s	(* (+ (sqrt (* d1 (- (+ d4 d2) d3))) d1) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
324.0ms	(sqrt (* d1 (- (+ d4 d2) d3)))
329.0ms	(sqrt (* d1 (- (+ d4 d2) d3)))

simplify977.0ms

Counts

102 → 102

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	185	2028
1	481	1687
2	1872	1507
done	5001	1503

prune325.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	15	15
done	15	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

11899×

body

valid