Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

380×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	68	11
3	181	9
4	389	9
5	679	9
6	912	9
7	1349	9
8	1651	9
9	1664	9
done	1664	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

120.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify929.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	63	379
1	151	362
2	457	322
3	2108	322
done	5000	322

prune62.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+r+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

9.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify948.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (227.0ms)

Iter	Nodes	Cost
0	44	321
1	139	262
2	472	236
3	1888	234
done	5000	234

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ d4 (- d2 d3)) d1))
0.5b	(cbrt (- (+ d4 (- d2 d3)) d1))
0.5b	(cbrt (- (+ d4 (- d2 d3)) d1))
0.5b	(* (cbrt (- (+ d4 (- d2 d3)) d1)) (cbrt (- (+ d4 (- d2 d3)) d1)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
77×	`cbrt-prod`
52×	`distribute-lft-out--`
37×	`add-sqr-sqrt`
26×	`distribute-lft-out`
22×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 123

Calls

4 calls:

27.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
28.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
27.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
228.0ms	(* (cbrt (- (+ d4 (- d2 d3)) d1)) (cbrt (- (+ d4 (- d2 d3)) d1)))

series849.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
215.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
217.0ms	(cbrt (- (+ d4 (- d2 d3)) d1))
198.0ms	(* (cbrt (- (+ d4 (- d2 d3)) d1)) (cbrt (- (+ d4 (- d2 d3)) d1)))

simplify938.0ms

Counts

135 → 135

Iterations

Useful iterations: 3 (335.0ms)

Iter	Nodes	Cost
0	127	2645
1	266	2445
2	713	2326
3	2183	2014
done	5001	2014

prune308.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt d1) (- (+ d4 (- d2 d3)) d1))
0.1b	(* (sqrt d1) (* (sqrt d1) (- (+ d4 (- d2 d3)) d1)))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-sqr-sqrt`
12×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-*r/` `associate--l+`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out` `add-log-exp` `unswap-sqr`
1×	`difference-of-squares`

Counts

2 → 69

Calls

2 calls:

123.0ms	(* (sqrt d1) (- (+ d4 (- d2 d3)) d1))
109.0ms	(* (sqrt d1) (* (sqrt d1) (- (+ d4 (- d2 d3)) d1)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(* (sqrt d1) (- (+ d4 (- d2 d3)) d1))
86.0ms	(* (sqrt d1) (* (sqrt d1) (- (+ d4 (- d2 d3)) d1)))

simplify2.7s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	119	1155
1	294	934
2	1020	826
3	4557	816
done	5000	816

prune126.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample694.0ms

Algorithm

intervals

Results

383.0ms

11980×

body

valid