Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	57×	body	640	valid
4.0ms	58×	body	320	valid
3.0ms	128×	body	80	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
3.4b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

5.0ms	(/ 1.0 (- x 1.0))
49.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1.0 (- x 1.0))
177.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.3s

Counts

75 → 75

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	144	1028
1	315	984
2	781	932
3	2053	932
done	5001	931

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms	(- (- x 1.0) (+ x 1.0))

series59.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

simplify605.0ms

Counts

67 → 67

Iterations

Useful iterations: done (603.0ms)

Iter	Nodes	Cost
0	151	1007
1	384	956
2	1427	888
done	5000	880

prune130.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/r*` `difference-of-squares`
3×	`add-exp-log` `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 → 33

Calls

1 calls:

5.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	88	565
1	193	546
2	567	496
3	2175	492
done	5001	491

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
142×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
18×	`distribute-lft-out` `associate-/l*`
14×	`associate-/r/`
7×	`div-inv`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `add-log-exp`

Counts

1 → 130

Calls

1 calls:

15.0ms

(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify915.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (322.0ms)

Iter	Nodes	Cost
0	229	2602
1	585	2427
2	1770	2363
done	5000	2363

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12
3	19	12
4	21	12
done	21	12

end0.0ms

sample472.0ms

Algorithm

intervals

Results

164.0ms	1901×	body	640	valid
96.0ms	4190×	body	80	valid
82.0ms	1282×	body	320	valid
27.0ms	627×	body	160	valid