Details

sample71.0ms

Algorithm

intervals

Results

31.0ms

362×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	69	11
3	193	9
4	586	9
5	3097	9
done	5001	9

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite298.0ms

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:

11.0ms	(- (* d1 d2) (* d1 d3))
229.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
57.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series165.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* d1 d2) (* d1 d3))
65.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
42.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.0s

Counts

54 → 54

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	88	867
1	274	689
2	1586	571
done	5000	571

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

37.0ms	(* d1 (- d4 d1))
25.0ms	(- (* d1 d2) (* d1 d3))
40.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* d1 (- d4 d1))
57.0ms	(- (* d1 d2) (* d1 d3))
84.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	123	1056
1	400	879
2	2030	831
done	5001	831

prune417.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

58.0ms	(+ (- d4 d1) (- d2 d3))
176.0ms	(* d1 (+ (- d4 d1) (- d2 d3)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (- d4 d1) (- d2 d3))
53.0ms	(* d1 (+ (- d4 d1) (- d2 d3)))

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	120	894
1	411	839
2	1974	789
done	5000	789

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (- d2 d3))
0.0b	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
0.3b	(pow (* d1 (- d2 d3)) 3)
29.0b	(cbrt (pow (* d1 (- d2 d3)) 3))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*r/`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cube-div` `cbrt-prod` `add-cube-cbrt`
7×	`flip3--` `flip--`
6×	`cbrt-div` `add-log-exp`
5×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `frac-add`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

25.0ms	(* d1 (- d2 d3))
30.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
23.0ms	(pow (* d1 (- d2 d3)) 3)
8.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))

series365.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* d1 (- d2 d3))
99.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
101.0ms	(pow (* d1 (- d2 d3)) 3)
99.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))

simplify2.3s

Counts

100 → 100

Iterations

Useful iterations: 2 (584.0ms)

Iter	Nodes	Cost
0	176	1399
1	567	1120
2	3261	1022
done	5001	1022

prune565.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
done	14	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

11882×

body

valid