Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	14	7
3	16	7
done	16	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

30.0ms

(/ (- x y) (+ x y))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(/ (- x y) (+ x y))

simplify2.2s

Counts

49 → 49

Iterations

Useful iterations: 4 (948.0ms)

Iter	Nodes	Cost
0	78	600
1	188	573
2	463	545
3	1100	545
4	2967	538
done	5000	538

prune140.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

36.0ms

(/ (- x y) (+ x y))

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(/ (- x y) (+ x y))

simplify2.6s

Counts

49 → 49

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	78	600
1	188	573
2	463	545
3	1100	545
4	2967	538
done	5000	538

prune112.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (- x y))
11.0ms	(cbrt (- x y))
6.0ms	(cbrt (- x y))

series689.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ x y))
173.0ms	(cbrt (- x y))
194.0ms	(cbrt (- x y))
183.0ms	(cbrt (- x y))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	102	719
1	221	698
2	462	666
3	1019	624
4	2674	577
done	5000	568

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* (- x y) (/ 1 (+ x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

2 → 84

Calls

2 calls:

13.0ms	(/ 1 (+ x y))
51.0ms	(* (- x y) (/ 1 (+ x y)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (+ x y))
72.0ms	(* (- x y) (/ 1 (+ x y)))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: 3 (785.0ms)

Iter	Nodes	Cost
0	111	939
1	263	755
2	773	675
3	2373	661
done	5000	661

prune114.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	11	7
done	11	7

end0.0ms

sample497.0ms

Algorithm

intervals

Results

293.0ms

8000×

body

valid