Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	125×	pre	10240	exit
5.0ms	256×	body	80	valid
2.0ms	131×	pre	80	true

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

9.0ms	(/ x0 (- 1.0 x1))
63.0ms	(- (/ x0 (- 1.0 x1)) x0)

series103.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ x0 (- 1.0 x1))
51.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	3811
2	873
1	264
0	117

prune167.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
17.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x0 (- 1.0 x1))
37.0ms	(/ x0 (- 1.0 x1))
40.0ms	(/ x0 (- 1.0 x1))
80.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify1.1s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	1550
1	324
0	129

prune417.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

32.0ms	(+ (/ x0 (- 1.0 x1)) x0)
9.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
42.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (/ x0 (- 1.0 x1)) x0)
36.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
79.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify979.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1991
1	396
0	151

prune353.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
6.2b	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

21.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
20.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
20.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
43.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series486.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
137.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
135.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
78.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify894.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1496
1	334
0	123

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

regimes79.0ms

Accuracy

0% (1.0b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample912.0ms

Algorithm

intervals

Results

472.0ms	4021×	pre	10240	exit
228.0ms	8000×	body	80	valid
64.0ms	3979×	pre	80	true