Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

391×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	68	11
3	181	9
4	387	9
5	680	9
6	919	9
7	1359	9
8	1671	9
9	1685	9
done	1685	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

8.0ms	(+ d4 (- d2 d3))
122.0ms	(* d1 (- (+ d4 (- d2 d3)) d1))

series66.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ d4 (- d2 d3))
50.0ms	(* d1 (- (+ d4 (- d2 d3)) d1))

simplify1.4s

Counts

53 → 53

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	88	530
1	210	496
2	641	456
3	3119	456
done	5000	456

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:

60.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
2.0ms	(- (* d1 d2) (* d1 d3))
11.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series132.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms	(- (* d1 d2) (* d1 d3))
39.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.7s

Counts

54 → 54

Iterations

Useful iterations: 3 (595.0ms)

Iter	Nodes	Cost
0	88	867
1	256	659
2	942	547
3	3966	527
done	5001	527

prune122.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

29.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify918.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	56	294
1	135	287
2	343	247
3	1274	247
done	5000	247

prune49.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ d4 (- d2 d3)) d1))
0.0b	(sqrt (- (+ d4 (- d2 d3)) d1))
0.1b	(* d1 (sqrt (- (+ d4 (- d2 d3)) d1)))
0.2b	(* (* d1 (sqrt (- (+ d4 (- d2 d3)) d1))) (sqrt (- (+ d4 (- d2 d3)) d1)))

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
29×	`sqrt-prod`
25×	`add-sqr-sqrt`
20×	`associate-r`
18×	`sqrt-div`
16×	`distribute-lft-out--`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`distribute-lft-out`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

53.0ms	(sqrt (- (+ d4 (- d2 d3)) d1))
54.0ms	(sqrt (- (+ d4 (- d2 d3)) d1))
115.0ms	(* d1 (sqrt (- (+ d4 (- d2 d3)) d1)))
208.0ms	(* (* d1 (sqrt (- (+ d4 (- d2 d3)) d1))) (sqrt (- (+ d4 (- d2 d3)) d1)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(sqrt (- (+ d4 (- d2 d3)) d1))
151.0ms	(sqrt (- (+ d4 (- d2 d3)) d1))
180.0ms	(* d1 (sqrt (- (+ d4 (- d2 d3)) d1)))
47.0ms	(* (* d1 (sqrt (- (+ d4 (- d2 d3)) d1))) (sqrt (- (+ d4 (- d2 d3)) d1)))

simplify2.0s

Counts

111 → 111

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	2031
1	348	1663
2	1043	1487
3	4120	1447
done	5001	1439

prune214.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample697.0ms

Algorithm

intervals

Results

402.0ms

12019×

body

valid