Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (3.6s)

Iter	Nodes	Cost
0	10	25
1	31	25
2	163	23
3	861	19
4	4800	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
3×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`associate-*r/` `associate-/r/`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

18.0ms

(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify1.9s

Counts

28 → 28

Iterations

Useful iterations: 3 (842.0ms)

Iter	Nodes	Cost
0	93	604
1	257	598
2	914	468
3	4963	466
done	5000	466

prune53.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

18.0ms

(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(/ i (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify1.4s

Counts

32 → 32

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	86	603
1	192	594
2	518	542
3	1588	540
done	5000	539

prune74.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* i (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))))
0.1b	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

45.0ms	(* i (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))))
20.0ms	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* i (/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i))))
65.0ms	(/ 1 (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	140	1351
1	342	1235
2	838	1065
3	2453	1061
done	5000	1060

prune139.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
0.3b	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `inv-pow`

Counts

2 → 106

Calls

2 calls:

28.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
20.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

series193.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i)
85.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) i))

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	186	2467
1	436	2293
2	1091	2018
3	3137	1919
done	5000	1916

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	17	19
done	17	19

end0.0ms

sample384.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
71.0ms	8000×	pre	80	true