Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	131×	pre	10240	exit
9.0ms	256×	body	80	valid
3.0ms	125×	pre	80	true

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite125.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

18.0ms	(/ x0 (- 1.0 x1))
104.0ms	(- (/ x0 (- 1.0 x1)) x0)

series135.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x0 (- 1.0 x1))
76.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	117	677
1	265	641
2	853	613
3	3930	601
done	5001	601

prune238.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.2b

localize25.0ms

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))
6.3b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite114.0ms

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-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

19.0ms	(/ x0 (- 1.0 x1))
24.0ms	(/ x0 (- 1.0 x1))
21.0ms	(/ x0 (- 1.0 x1))
42.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series297.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ x0 (- 1.0 x1))
60.0ms	(/ x0 (- 1.0 x1))
53.0ms	(/ x0 (- 1.0 x1))
119.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	1682
1	324	1620
2	1543	1492
done	5001	1450

prune595.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ x0 (/ x0 (- 1.0 x1)))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.3b	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite155.0ms

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-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

36.0ms	(+ x0 (/ x0 (- 1.0 x1)))
17.0ms	(/ x0 (- 1.0 x1))
22.0ms	(/ x0 (- 1.0 x1))
75.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ x0 (/ x0 (- 1.0 x1)))
42.0ms	(/ x0 (- 1.0 x1))
45.0ms	(/ x0 (- 1.0 x1))
116.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	1537
1	397	1463
2	2021	1263
done	5001	1249

prune561.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.8b

localize61.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
0.9b	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
0.9b	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
6.3b	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite182.0ms

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-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

33.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
33.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
38.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
75.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series734.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
188.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
201.0ms	(cbrt (+ x0 (/ x0 (- 1.0 x1))))
118.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify1.0s

Counts

66 → 66

Iterations

Useful iterations: done (997.0ms)

Iter	Nodes	Cost
0	124	1473
1	335	1420
2	1470	1175
done	5000	1087

prune444.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.8b

regimes122.0ms

Accuracy

0% (1.0b remaining)

Error of 5.6b against oracle of 4.7b and baseline of 5.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	48
1	19	48
done	19	48

end0.0ms

sample1.3s

Algorithm

intervals

Results

577.0ms	4025×	pre	10240	exit
305.0ms	8000×	body	80	valid
107.0ms	3975×	pre	80	true