Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	128×	pre	10240	exit
7.0ms	256×	body	80	valid
3.0ms	128×	pre	80	true

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

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:

15.0ms	(/ x0 (- 1.0 x1))
93.0ms	(- (/ x0 (- 1.0 x1)) x0)

series110.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x0 (- 1.0 x1))
69.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.8s

Counts

58 → 58

Iterations

Useful iterations: 3 (897.0ms)

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

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

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))

rewrite80.0ms

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:

12.0ms	(/ x0 (- 1.0 x1))
16.0ms	(/ x0 (- 1.0 x1))
17.0ms	(/ x0 (- 1.0 x1))
31.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ x0 (- 1.0 x1))
49.0ms	(/ x0 (- 1.0 x1))
58.0ms	(/ x0 (- 1.0 x1))
100.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify722.0ms

Counts

136 → 136

Iterations

Useful iterations: done (718.0ms)

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

prune620.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ x0 (/ x0 (- 1.0 x1)))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.3b	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite148.0ms

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:

21.0ms	(+ x0 (/ x0 (- 1.0 x1)))
17.0ms	(/ x0 (- 1.0 x1))
21.0ms	(/ x0 (- 1.0 x1))
86.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series358.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x0 (/ x0 (- 1.0 x1)))
36.0ms	(/ x0 (- 1.0 x1))
41.0ms	(/ x0 (- 1.0 x1))
238.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	1573
1	405	1499
2	2047	1411
done	5000	1409

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
4.0b	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.3b	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

12.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
283.0ms	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
92.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series498.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x0 (- 1.0 x1))
43.0ms	(/ x0 (- 1.0 x1))
211.0ms	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
208.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify779.0ms

Counts

116 → 116

Iterations

Useful iterations: done (775.0ms)

Iter	Nodes	Cost
0	155	2049
1	375	1963
2	1805	1797
done	5001	1795

prune301.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.2b

regimes40.0ms

Accuracy

0% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 4.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	27	49
1	35	49
done	35	49

end0.0ms

sample977.0ms

Algorithm

intervals

Results

429.0ms	4054×	pre	10240	exit
256.0ms	8000×	body	80	valid
82.0ms	3946×	pre	80	true